Aimin Huang, Roger Temam
Published 2013-10-21Version 1
In this article, we consider linear hyperbolic Initial and Boundary Value Problems (IBVP) in a rectangle (or possibly curvilinear polygonal domains) in both the constant and variable coefficients cases. We use semigroup method instead of Fourier analysis to achieve the well-posedness of the linear hyperbolic system, and we find by diagonalization that there are only two elementary modes in the system which we call hyperbolic and elliptic modes. The hyperbolic system in consideration is either symmetric or Friedrichs-symmetrizable.
Radial Convex Solutions of Boundary Value Problems for Systems of Monge-Ampere equations
Schatten classes and nuclearity of boundary value problems
Bounded $H_{\infty}$-calculus for Boundary Value Problems on Manifolds with Conical Singularities
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