Boundary value problems for Dirac-type equations

Boundary value problems for Dirac–type equations

We prove regularity for a class of boundary value problems for first order elliptic systems, with boundary conditions determined by spectral decompositions, under coefficient differentiability conditions weaker than previously known. We establish Fredholm properties for Dirac-type equations with these boundary conditions. Our results include sharp solvability criteria, over both compact and non...

Boundary value problems for Dirac–type equations, with applications

We prove regularity for a class of boundary value problems for first order elliptic systems, with boundary conditions determined by spectral decompositions, under coefficient differentiability conditions weaker than previously known. We establish Fredholm properties for Dirac-type equations with these boundary conditions. Our results include sharp solvability criteria, over both compact and non...

Spectral theory of boundary value problems for Dirac type operators

The purpose of this note is to describe a unified approach to the fundamental results in the spectral theory of boundary value problems, restricted to the case of Dirac type operators. Even though many facts are known and well presented in the literature (cf. the monograph of BoossWojciechowski [7]), we simplify and extend or sharpen most results by using systematically the simple structure whi...

Boundary-value problems for equations of Keldysh type

The existence and uniqueness of solutions to boundary-value problems for certain elliptic-hyperbolic equations is considered. MSC2000: 35M10

Boundary value problems for mixed type equations and applications