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Initial Trace of Solutions of Some Quasilinear Parabolic Equations with Absorption

✍ Scribed by Marie-Frana̧oise Bidaut-Véron; Emmanuel Chasseigne; Laurent Véron

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
459 KB
Volume
193
Category
Article
ISSN
0022-1236

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✦ Synopsis

We study the existence of an initial trace of nonnegative solutions of the problem

We prove that the initial trace is an outer regular Borel measure which may not be locally bounded for some values of the parameters p and q. We study also the corresponding Cauchy problems with a given generalized Borel measure as initial data.

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