Regularity of solutions of the anisotropic hyperbolic heat equation with nonregular heat sources and homogeneous boundary conditions

Authors: JUAN ANTONIO LÓPEZ MOLINA, MACARENA TRUJILLO

Abstract: We study regularity properties for the solution of homogeneous boundary value problems for the anisotropic hyperbolic heat equation in the case of infinitely differentiable coefficients but irregular distributions as internal heat sources.

Keywords: Anisotropic hyperbolic heat equation, Sobolev spaces, integral transforms of vector valued distributions

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