Existence and uniqueness of solutions of Robin's problem for the anisotropic hyperbolic heat equation with non regular data

Juan Antonio Lopez Molina

Juan Antonio Lopez Molina Department of Applied Mathematics, Universidad Politecnica de Valencia, Spain

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

Abstract

We find existence and uniqueness results about solutions of Robin's problem for the general anisotropic hyperbolic heat equation in the case of infinitely differentiable coefficients but irregular distributions data for the internal heatsources and boundary and initial conditions.

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