On the Fredholm Solvability for a Class of Multidimensional Hyperbolic Problems

2008/02/20 by Irina Kmit, Kmit, Irina
Computer Science · Engineering · Mathematics · #35A17 #35B10 #35L50 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Stability and Controllability of Differential Equations

paper · doi:10.48550/arxiv.0802.2812

openalex publication_date 2008/02/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Smoothing Solutions to Initial-Boundary Problems for First-Order Hyperbolic Systems

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