Filtern
Volltext vorhanden
- ja (425) (entfernen)
Erscheinungsjahr
Dokumenttyp
- Preprint (425) (entfernen)
Sprache
- Englisch (425) (entfernen)
Schlagworte
- index (11)
- boundary value problems (9)
- elliptic operators (9)
- Fredholm property (8)
- K-theory (7)
- manifolds with singularities (6)
- pseudodifferential operators (6)
- relative index (6)
- Atiyah-Patodi-Singer theory (5)
- index theory (5)
- Boundary value problems (4)
- Cauchy problem (4)
- Toeplitz operators (4)
- cluster expansion (4)
- elliptic operator (4)
- manifold with singularities (4)
- surgery (4)
- 'eta' invariant (3)
- Atiyah-Bott condition (3)
- Fredholm operators (3)
- Hodge theory (3)
- Lefschetz number (3)
- boundary value problem (3)
- conical singularities (3)
- conormal symbol (3)
- differential operators (3)
- elliptic complexes (3)
- ellipticity (3)
- eta invariant (3)
- index of elliptic operators in subspaces (3)
- reciprocal class (3)
- regularization (3)
- reversible measure (3)
- spectral flow (3)
- star product (3)
- Atiyah-Bott obstruction (2)
- Brownian bridge (2)
- Canonical Gibbs measure (2)
- Carleman matrix (2)
- Chemotaxis (2)
- Dirac operator (2)
- Heat equation (2)
- Laplace equation (2)
- Lefschetz fixed point formula (2)
- Markov chain (2)
- Mellin transform (2)
- Navier-Stokes equations (2)
- Neumann problem (2)
- Perturbed complexes (2)
- Probabilistic Cellular Automata (2)
- Riemann-Hilbert problem (2)
- Riemannian manifold (2)
- Stochastic Differential Equation (2)
- WKB method (2)
- Zaremba problem (2)
- aerosol size distribution (2)
- analytic continuation (2)
- birth-death-mutation-competition point process (2)
- counting process (2)
- curvature (2)
- detailed balance equation (2)
- duality formula (2)
- edge singularities (2)
- edge-degenerate operators (2)
- elliptic boundary value problems (2)
- elliptic families (2)
- elliptic family (2)
- elliptic system (2)
- eta-invariant (2)
- hard core potential (2)
- holomorphic solution (2)
- homotopy classification (2)
- ill-posed problem (2)
- index formulas (2)
- integral formulas (2)
- inversion (2)
- linking coefficients (2)
- local time (2)
- manifolds with conical singularities (2)
- manifolds with edges (2)
- maximum likelihood estimator (2)
- modn-index (2)
- molecular motor (2)
- monodromy matrix (2)
- non-Markov drift (2)
- p-Laplace operator (2)
- pseudo-differential boundary value problems (2)
- pseudodiferential operators (2)
- pseudodifferential operator (2)
- quantization (2)
- reciprocal processes (2)
- regularizer (2)
- regularizers (2)
- root functions (2)
- singular partial differential equation (2)
- singular perturbation (2)
- skew Brownian motion (2)
- spectral theorem (2)
- star-product (2)
- stochastic differential equations (2)
- symmetry conditions (2)
- the Cauchy problem (2)
- time duality (2)
- weighted edge spaces (2)
- weighted spaces (2)
- (co)boundary operator (1)
- APS problem (1)
- Approximate likelihood (1)
- Atiyah-Singer theorem (1)
- Attractive Dynamics (1)
- Automatisches Beweisen (1)
- Averaging principle (1)
- Beltrami equation (1)
- Betriebssysteme (1)
- Bose-Einstein condensation (1)
- Boundary value methods (1)
- Boundary value problems for first order systems (1)
- Boundary-contact problems (1)
- Brownian motion (1)
- Brownian motion with discontinuous drift (1)
- C0−semigroup (1)
- CCR-algebra (1)
- Calculus of conormal symbols (1)
- Calderón projections (1)
- Capture into resonance (1)
- Carleman formulas (1)
- Carrera Digital D132 (1)
- Casped plates (1)
- Categories of stratified spaces (1)
- Cauchy Riemann operator (1)
- Cauchy data spaces (1)
- Censoring (1)
- Chern character (1)
- Clifford algebra (1)
- Corner boundary value problems (1)
- Coupling (1)
- Crack theory (1)
- Cross-effects (1)
- DLR equation (1)
- DPLL (1)
- Dirac operators (1)
- Dirac-type operator (1)
- Dirichlet form (1)
- Dirichlet problem (1)
- Dirichlet to Neumann operator (1)
- Dirichlet-to-Neumann operator (1)
- Duality formula (1)
- Echtzeit (1)
- Edge-degenerate operators (1)
- Eigenvalues (1)
- Elliptic equation with order degeneration (1)
- Elliptic operators (1)
- Elliptic operators in domains with edges (1)
- Erfahrungsbericht (1)
- Euler equations (1)
- Euler operator (1)
- Euler's theta functions (1)
- Euler-Lagrange equations (1)
- Extremal problem (1)
- Feynman-Kac formula (1)
- Finite difference method (1)
- Fischer-Riesz equations (1)
- Fourth order Sturm-Liouville problem (1)
- Fredholm operator (1)
- G-index (1)
- G-trace (1)
- Gevrey classes (1)
- Gibbs measure (1)
- Gibbs perturbation (1)
- Gibbs point processes (1)
- Gibbs state (1)
- Girsanov formula (1)
- Goursat problem (1)
- Green and Mellin edge operators (1)
- Green formula (1)
- Green operator (1)
- Green's operator (1)
- Grushin operator (1)
- Gutzwiller formula (1)
- Hamilton-Jacobi theory (1)
- Hamiltonian group action (1)
- Hardy‘s inequality (1)
- Hyperbolic-parabolic system (1)
- Hypoelliptic operators (1)
- Hölder-type source condition (1)
- Ill-posed problem (1)
- Infinite-dimensional SDE (1)
- Interacting Particle Systems (1)
- KS model (1)
- Klausellernen (1)
- Kolmogorov-Smirnov type tests (1)
- Korn’s weighted inequality (1)
- LEGO Mindstorms EV3 (1)
- Lagrangian system (1)
- Lame system (1)
- Lamé system (1)
- Laplace-Beltrami operator (1)
- Levy measure (1)
- Levy process (1)
- Liouville theorem (1)
- Lipschitz domains (1)
- Logarithmic Sobolev inequality (1)
- Logikkalkül (1)
- Logrank test (1)
- Loop space (1)
- Lévy diffusion approximation (1)
- Lévy diffusions on manifolds (1)
- Lévy measure (1)
- Lévy type processes (1)
- Lφ spectrum (1)
- MHD-equations (1)
- Malliavin calculus (1)
- Markov processes (1)
- Markov-field property (1)
- Martin-Dynkin boundary (1)
- Maslov and Conley–Zehnder index (1)
- Meromorphic operator functions (1)
- Montel theorem (1)
- Morse-Smale property (1)
- Multidimensional nonisentropic hydrodynamic model (1)
- Multiwavelength LIDAR (1)
- Newton method (1)
- Non-linear (1)
- Non-proportional hazards (1)
- Nonlinear (1)
- Nonlinear Laplace operator (1)
- Numerov's method (1)
- Operators on manifolds with conical singularities (1)
- Operators on manifolds with edge (1)
- Operators on manifolds with edge and conical exit to infinity (1)
- Operators on manifolds with second order singularities (1)
- Peano phenomena (1)
- Perron's method (1)
- Planetary Rings (1)
- Point process (1)
- Poisson bridge (1)
- Pontrjagin duality (1)
- Proportional hazards (1)
- Pseudo-differential operators (1)
- Pseudodifferential operators (1)
- Quasiconformal mapping (1)
- Quasilinear equations (1)
- Quasilinear hyperbolic system (1)
- RT_PREEMT patch (1)
- RT_PREEMT-Patch (1)
- Ramified Cauchy problem (1)
- Reciprocal process (1)
- Renormalized integral (1)
- Riemann-Roch theorem (1)
- Runge-Kutta methods (1)
- SAT (1)
- SPECT (1)
- Saturation model (1)
- Schrödinger problem (1)
- Second order elliptic equations (1)
- Skorokhod' s invariance principle (1)
- Sobolev problem (1)
- Sobolev spaces with double weights on singular cones (1)
- Stochastic Ordering (1)
- Stochastic differential equations (1)
- Sturm-Liouville problems (1)
- Surface potentials with asymptotics (1)
- Survival models with covariates (1)
- System of nonlocal PDE of first order (1)
- Tikhonov regularization (1)
- Two-level interacting process (1)
- Two-sample tests (1)
- Viscosity solutions (1)
- Vitali theorem (1)
- Volterra symbols (1)
- Wasserstein distance (1)
- Wave operator (1)
- Weak Mixing Condition (1)
- Weyl algebras bundle (1)
- Weyl symbol (1)
- Wiener measure (1)
- absorbing boundary (1)
- absorbing set (1)
- absorption (1)
- aerosol distribution (1)
- analytic index (1)
- anisotropic spaces (1)
- approximate inertial manifolds (1)
- asymptotic behavior (1)
- asymptotic expansion (1)
- asymptotic methods (1)
- asymptotic stable (1)
- asymptotics (1)
- asymptotics of solutions (1)
- attenuated Radon transform (1)
- automated theorem proving (1)
- bar with variable cross-section (1)
- bending of an orthotropic cusped plate (1)
- boun- dedness (1)
- boundary layer (1)
- boundary regularity (1)
- boundary values problems (1)
- bridge (1)
- bridges of random walks (1)
- bundles (1)
- calculus of variations (1)
- canonical Marcus integration (1)
- censoring (1)
- characteristic boundary point (1)
- characteristic points (1)
- classical and quantum reduction (1)
- classical solution (1)
- clause learning (1)
- coated and absorbing aerosols (1)
- coercivity (1)
- cohomology (1)
- comparison principle (1)
- completeness (1)
- composition operator (1)
- compound Poisson processes (1)
- compressible Euler equations (1)
- computer security (1)
- conditional Wiener measure (1)
- conjugate gradient (1)
- connections (1)
- conormal asymptotic expansions (1)
- conormal asymptotics (1)
- conormal symbols (1)
- conservation laws (1)
- consistency (1)
- contact transformations (1)
- continuity in Sobolev spaces with double weights (1)
- continuous time Markov chain (1)
- corner Sobolev spaces with double weights (1)
- coupled solution (1)
- coupling methods (1)
- covering (1)
- cusp (1)
- cusped bar (1)
- dbar-Neumann problem (1)
- de Rham complex (1)
- de Sitter model ; Fundamental solutions ; Decay estimates (1)
- decay of eigenfunctions (1)
- deformation quantization (1)
- degenerate elliptic equations (1)
- degenerate elliptic systems (1)
- determinantal point processes (1)
- dimension functional (1)
- discontinuous Robin condition (1)
- discrete saymptotic types (1)
- distorted Brownian motion (1)
- division algebras (1)
- division of spaces (1)
- divisors (1)
- domains with singularities (1)
- dynamical system (1)
- edge Sobolev spaces (1)
- edge algebra (1)
- edge quantizations (1)
- edge spaces (1)
- edge symbol (1)
- eingebettete Systeme (1)
- elastic bar (1)
- elliptic boundary conditions (1)
- elliptic complex (1)
- elliptic functions (1)
- elliptic morphism (1)
- elliptic operators in subspaces (1)
- elliptic operators on non-compact manifolds (1)
- elliptic problem (1)
- elliptic systems (1)
- ellipticity in the edge calculus (1)
- ellipticity of cone operators (1)
- ellipticity of corners operators (1)
- ellipticity with interface conditions (1)
- ellipticity with parameter (1)
- ellipticity with respect to interior and edge symbols (1)
- embedded systems (1)
- empirical Wasserstein distance (1)
- energetic space (1)
- enlargement of filtration (1)
- equivalence (1)
- estimation of regression (1)
- evolution equation (1)
- exact simulation (1)
- exact simulation method (1)
- experience report (1)
- exponential function (1)
- exponential stability (1)
- exterior tensor product (1)
- fibre coordinates (1)
- finiteness theorem (1)
- finsler distance (1)
- first boundary value problem (1)
- fixed point formula (1)
- foliated diffusion (1)
- force unification (1)
- fully non-linear degenerate parabolic equations (1)
- fundamental solution (1)
- gauge group (1)
- generalized Laplace operator (1)
- geodesics (1)
- geometric optics approximation (1)
- global exact boundary controllability (1)
- global solution (1)
- global solutions (1)
- globally hyperbolic spacetime (1)
- good-inner function (1)
- goodness of fit (1)
- goodness-of-fit (1)
- hard core interaction (1)
- heat equation (1)
- heavy-tailed distributions (1)
- hitting times (1)
- host-parasite stochastic particle system (1)
- hyperbolic dynamical system (1)
- hyperbolic operators (1)
- hypoelliptic estimate (1)
- ill-posed problems (1)
- illposed problem (1)
- index formula (1)
- index of elliptic operator (1)
- index of stability (1)
- infinite divisibility (1)
- infinite-dimensional Brownian diffusion (1)
- infinite-dimensional diffusion (1)
- infinitely divisible point processes (1)
- integral representation method (1)
- integration by parts on path space (1)
- interaction matrix (1)
- interfaces with conical singularities (1)
- invariant (1)
- inverse ill-posed problem (1)
- jump process (1)
- jump processes (1)
- kernel estimator of the hazard rate (1)
- kernel method (1)
- lattice packing and covering (1)
- lattice point (1)
- least squares estimator (1)
- lifespan (1)
- limit theorem for integrated squared difference (1)
- logarithmic residue (1)
- logical calculus (1)
- machine learning (1)
- manifold with boundary (1)
- manifold with edge (1)
- manifolds with cusps (1)
- mapping degree (1)
- matching of asymptotic expansions (1)
- meromorphic family (1)
- metaplectic operators (1)
- minimax convergence rates (1)
- minimax rate (1)
- mixed elliptic problems (1)
- mixed problems (1)
- mod k index (1)
- model selection (1)
- moduli space of flat connections (1)
- modulo n index (1)
- mollifier method (1)
- moment map (1)
- monotone coupling (1)
- monotone method (1)
- multilayered coated and absorbing aerosol (1)
- multiple characteristics (1)
- multiplicative Lévy noise (1)
- multiplicative noise (1)
- multiwavelength Lidar (1)
- multiwavelength lidar (1)
- new recursive algorithm (1)
- non-coercive boundary conditions (1)
- non-linear integro-differential equations (1)
- non-regular drift (1)
- non-uniqueness (1)
- nondegenerate condition (1)
- nonhomogeneous boundary value problems (1)
- nonlinear equations (1)
- nonlinear invers problem (1)
- nonlinear optimization (1)
- nonlinear semigroup (1)
- nonlocal problem (1)
- nonparametric regression (1)
- nonsmooth curves (1)
- norm estimates with respect to a parameter (1)
- normal reflection (1)
- operating systems (1)
- operator algebras on manifolds with singularities (1)
- operators on manifolds with conical and edge singularities (1)
- operators on manifolds with edges (1)
- operators on manifolds with singularities (1)
- order reduction (1)
- p-Laplace Operator (1)
- parallelizable spheres (1)
- parameter-dependent cone operators (1)
- parameter-dependent ellipticity (1)
- parameter-dependent pseudodifferential operators (1)
- parity condition (1)
- parity conditions (1)
- partial least squares (1)
- path integral (1)
- periodic Gaussian process (1)
- periodic Ornstein-Uhlenbeck process (1)
- permanental- (1)
- polydisc (1)
- polyhedra and polytopes (1)
- porous medium equation (1)
- principal symbolic hierarchies (1)
- problem of classification (1)
- profile likelihood (1)
- propor-tional hazard mode (1)
- pseudo-diferential operators (1)
- pseudo-differential operators (1)
- pseudo-differentialboundary value problems (1)
- pseudodifferential boundary value problems (1)
- pseudodifferential subspace (1)
- pseudodifferential subspaces (1)
- quasilinear Fredholm operator (1)
- quasilinear equation (1)
- random walk (1)
- random walk on Abelian group (1)
- random walks on graphs (1)
- real-time (1)
- reciprocal characteristics (1)
- regular figures (1)
- regularisation (1)
- regularization methods (1)
- rejection sampling (1)
- relative cohomology (1)
- relative index formulas (1)
- relative η-invariant (1)
- removable set (1)
- removable sets (1)
- reproducing kernel Hilbert space (1)
- residue (1)
- semi-classical difference operator (1)
- semiconductors (1)
- semipermeable barriers (1)
- semiprocess (1)
- shock wave (1)
- singular drifts (1)
- singular integral equations (1)
- singular point (1)
- skew diffusion (1)
- small noise asymptotic (1)
- small parameter (1)
- specific entropy (1)
- spectral boundary value problems (1)
- spectral independence (1)
- spectral kernel function (1)
- spectral resolution (1)
- spirallike function (1)
- stable limit cycle (1)
- statistical inverse problem (1)
- statistical model selection (1)
- step process (1)
- stochastic bridge (1)
- stochastic bridges (1)
- stochastic ordering (1)
- stopping rules (1)
- strongly pseudoconvex domains (1)
- subRiemannian geometry (1)
- symmetry group (1)
- symplectic (canonical) transformations (1)
- symplectic manifold (1)
- symplectic reduction (1)
- system Lame (1)
- systems of partial differential equations (1)
- the Dirichlet problem (1)
- the first boundary value problem (1)
- time series (1)
- time series with heavy tails (1)
- time symmetry (1)
- tomogrphy (1)
- trace (1)
- transition path theory (1)
- tunneling (1)
- two-level interacting processes (1)
- ultracontractivity (1)
- uniform compact attractor (1)
- variable projection method (1)
- variational principle (1)
- vibration (1)
- weak boundary values (1)
- weighted Hölder spaces (1)
- weighted Sobolev space (1)
- weighted Sobolev spaces with discrete saymptotics (1)
- weighted spaces with asymptotics (1)
- zero-noise limit (1)
- η-invariant (1)
- ∂-operator (1)
Institut
- Institut für Mathematik (359)
- Interdisziplinäres Zentrum für Dynamik komplexer Systeme (49)
- Institut für Physik und Astronomie (34)
- Institut für Anglistik und Amerikanistik (18)
- Extern (6)
- Department Psychologie (2)
- Hasso-Plattner-Institut für Digital Engineering gGmbH (1)
- Institut für Informatik und Computational Science (1)
- Mathematisch-Naturwissenschaftliche Fakultät (1)
In 1914 Bohr proved that there is an r ∈ (0, 1) such that if a power series converges in the unit disk and its sum has modulus less than 1 then, for |z| < r, the sum of absolute values of its terms is again less than 1. Recently analogous results were obtained for functions of several variables. The aim of this paper is to comprehend the theorem of Bohr in the context of solutions to second order elliptic equations meeting the maximum principle.
The paper is devoted to pseudodifferential boundary value problems in domains with singular points on the boundary. The tangent cone at a singular point is allowed to degenerate. In particular, the boundary may rotate and oscillate in a neighbourhood of such a point. We show a criterion for the Fredholm property of a boundary value problem and derive estimates of solutions close to singular points.
We consider a class of ergodic Hamilton-Jacobi-Bellman (HJB) equations, related to large time asymptotics of non-smooth multiplicative functional of difusion processes. Under suitable ergodicity assumptions on the underlying difusion, we show existence of these asymptotics, and that they solve the related HJB equation in the viscosity sense.
For each compact subset K of the complex plane C which does not surround zero, the Riemann surface Sζ of the Riemann zeta function restricted to the critical half-strip 0 < Rs < 1/2 contains infinitely many schlicht copies of K lying ‘over’ K. If Sζ also contains at least one such copy, for some K which surrounds zero, then the Riemann hypothesis fails.
A function has vanishing mean oscillation (VMO) on R up(n) if its mean oscillation - the local average of its pointwise deviation from its mean value - both is uniformly bounded over all cubes within R up(n) and converges to zero with the volume of the cube. The more restrictive class of functions with vanishing lower oscillation (VLO) arises when the mean value is replaced by the minimum value in this definition. It is shown here that each VMO function is the difference of two functions in VLO.
We show a Lefschetz fixed point formula for holomorphic functions in a bounded domain D with smooth boundary in the complex plane. To introduce the Lefschetz number for a holomorphic map of D, we make use of the Bergman kernal of this domain. The Lefschetz number is proved to be the sum of usual contributions of fixed points of the map in D and contributions of boundary fixed points, these latter being different for attracting and repulsing fixed points.
We elaborate a boundary Fourier method for studying an analogue of the Hilbert problem for analytic functions within the framework of generalised Cauchy-Riemann equations. The boundary value problem need not satisfy the Shapiro-Lopatinskij condition and so it fails to be Fredholm in Sobolev spaces. We show a solvability condition of the Hilbert problem, which looks like those for ill-posed
problems, and construct an explicit formula for approximate solutions.