Keyword: Heat Equations : Search

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Keyword: Model Manifold (1)	23 Mar 2025	Run
Keyword: Heat Equations (1)	23 Mar 2025	Run
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articleNo Access
AN ILL-POSED PROBLEM FOR THE HEAT EQUATION
- L. E. PAYNE and
- G. A. PHILIPPIN
Mathematical Models and Methods in Applied Sciences01 Sep 2009
Preview Abstract
The Cauchy problem for the heat equation in which Cauchy data are prescribed on the outer boundary of a domain with cavity and no data are given on the inner boundary is known to be ill-posed. By a slight modification of the boundary conditions a new problem is introduced whose solution depends continuously on the data in L₂.

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