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Spatial decay bounds and continuous dependence on the data for a class of parabolic initial-boundary value problems

✍ Scribed by C. Enache


Book ID
108175431
Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
111 KB
Volume
323
Category
Article
ISSN
0022-247X

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## Abstract This paper deals with a class of semilinear parabolic problems. In particular, we establish conditions on the data sufficient to guarantee blow up of solution at some finite time, as well as conditions which will insure that the solution exists for all time with exponential decay of the

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## Abstract Extending the investigations initiated in an earlier paper, the authors deal in this paper with the solutions of another class of initial‐boundary value problems for which continuous dependence inequalities on the geometry and the initial time are established. Copyright Β© 2007 John Wile

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## Abstract In this paper, we investigate the continuous dependence on the geometry and the initial time for solutions __u__(**x**, __t__) of a class of nonlinear parabolic initial‐boundary value problems. Copyright Β© 2007 John Wiley & Sons, Ltd.