On the Fredholm Solvability for a Class of Multidimensional Hyperbolic Problems

Abstract

We prove the Fredholm alternative for a class of two-dimensional first-order hyperbolic systems with periodic-Dirichlet boundary conditions. Our approach is based on a regularization via a right parametrix.

14 pages

References in corpus (3)

• Fredholm Alternative for Periodic-Dirichlet Problems for Linear Hyperbolic Systems
• Fredholmness and Smooth Dependence for Linear Time-Periodic Hyperbolic System
• Smoothing Solutions to Initial-Boundary Problems for First-Order Hyperbolic Systems