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Continuous Dependence on Initial-Time and Spatial Geometry in Generalized Heat Conduction

✍ Scribed by L.E. Payne; J.C. Song

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
216 KB
Volume
214
Category
Article
ISSN
0022-247X

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✦ Synopsis

In this paper we consider two different initial-boundary value problems in generalized heat conduction. We first establish continuous dependence on the initial-time geometry in an exterior region for solutions of one well studied model system. We then derive inequalities which imply continuous dependence on the spatial geometry in a bounded region for the same problem with an added dissipation term.

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