TY  - INPR
A1  - Alsaedy, Ammar
A1  - Tarkhanov, Nikolai Nikolaevich
T1  - The method of Fischer-Riesz equations for elliptic boundary value problems
N2  - We develop the method of Fischer-Riesz equations for general boundary value problems elliptic in the sense of Douglis-Nirenberg. To this end we reduce them to a boundary problem for a (possibly overdetermined) first order system whose classical symbol has a left inverse. For such a problem there is a uniquely determined boundary value problem which is adjoint to the given one with respect to the Green formula. On using a well elaborated theory of approximation by solutions of the adjoint problem, we find the Cauchy data of solutions of our problem.
T3  - Preprints des Instituts für Mathematik der Universität Potsdam - 1(2012)24 
KW  - Boundary value problems for first order systems
KW  - Green formula
KW  - Fischer-Riesz equations
KW  - regularisation
Y1  - 2012
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-61792
ER  - 
TY  - INPR
A1  - Bär, Christian
A1  - Ballmann, Werner
T1  - Boundary value problems for elliptic differential operators of first order
N2  - We study boundary value problems for linear elliptic differential operators of order one. The underlying manifold may be noncompact, but the boundary is assumed to be compact. We require a symmetry property of the principal symbol of the operator along the boundary. This is satisfied by Dirac type operators, for instance. We provide a selfcontained introduction to (nonlocal) elliptic boundary conditions, boundary regularity of solutions, and index theory. In particular, we simplify and generalize the traditional theory of elliptic boundary value problems for Dirac type operators. We also prove a related decomposition theorem, a general version of Gromov and Lawson's relative index theorem and a generalization of the cobordism theorem.
T3  - Preprints des Instituts für Mathematik der Universität Potsdam - 1(2012)18 
KW  - Elliptic operators
KW  - elliptic boundary conditions
KW  - completeness
KW  - coercivity
KW  - boundary regularity
Y1  - 2012
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-60023
ER  -