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A Simple Unified Approach to Some Convergence Theorems of L. Simon

โœ Scribed by Mohamed Ali Jendoubi

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
247 KB
Volume
153
Category
Article
ISSN
0022-1236

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โœฆ Synopsis

We give a new and easier proof for the convergences result of L. Simon concerning global and bounded solutions of a heat equation with analytic nonlinearity. By constructing a new Liapunov functional for the elliptic equation, we are able to prove the second convergence theorem of in the same way as the first theorem. The results are more general and can be applied to other problems such as fourth order equation and vector valued systems of gradient type.

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