A Counterexample about the Regularity of the Solutions of the Hyperbolic Heat Equation

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作者
J. A. López Molina
机构
[1] Universidad Politécnica,E. T. S. Ingeniería Agronómica y del Medio Natural, Instituto de Matemática Pura y Aplicada
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关键词
Sobolev spaces; Bessel functions; Laplace transform; Hyperbolic heat equation; Primary 35Q99; 80A20; Secondary 46N20; 46F99;
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摘要
We give an example of a fundamental solution of the Neumann problem for the hyperbolic heat equation in a disk D which is not in L2(D ×]0,T[) whatever be T > 0.
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页码:1725 / 1751
页数:26
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