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- elliptic operators (6)
- manifolds with singularities (6)
- Fredholm property (5)
- boundary value problems (5)
- index (5)
- pseudodifferential operators (5)
- Boundary value problems (4)
- relative index (4)
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- differential operators (3)
- ellipticity (3)
- index theory (3)
- Atiyah-Bott obstruction (2)
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- Lefschetz fixed point formula (2)
- Mellin transform (2)
- Zaremba problem (2)
- edge singularities (2)
- edge-degenerate operators (2)
- elliptic boundary value problems (2)
- elliptic complexes (2)
- elliptic families (2)
- elliptic family (2)
- elliptic operator (2)
- homotopy classification (2)
- index formulas (2)
- manifold with singularities (2)
- manifolds with conical singularities (2)
- manifolds with edges (2)
- monodromy matrix (2)
- pseudo-differential boundary value problems (2)
- pseudodiferential operators (2)
- quantization (2)
- regularizer (2)
- regularizers (2)
- spectral flow (2)
- surgery (2)
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- APS problem (1)
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- Cauchy Riemann operator (1)
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- Euler operator (1)
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- Meromorphic operator functions (1)
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- Operators on manifolds with edge (1)
- Operators on manifolds with edge and conical exit to infinity (1)
- Pseudo-differential operators (1)
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- elliptic operators in subspaces (1)
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- ellipticity with respect to interior and edge symbols (1)
- eta-invariant (1)
- exponential stability (1)
- exterior tensor product (1)
- index formula (1)
- index of elliptic operator (1)
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- principal symbolic hierarchies (1)
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- symplectic (canonical) transformations (1)
- uniform compact attractor (1)
- vibration (1)
- weighted spaces (1)
- weighted spaces with asymptotics (1)
- ∂-operator (1)
Institut
- Institut für Mathematik (113)
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.