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Regularity and comparison results in grand Sobolev spaces for parabolic equations with measure data

โœ Scribed by A. Fiorenza; A. Mercaldo; J.M. Rakotoson


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
197 KB
Volume
14
Category
Article
ISSN
0893-9659

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โœฆ Synopsis


extend the results. of [I-5] on the uniqueness of solutions of parabolic equations.

Our results give also some regularity results which complete the existence results made in [6-81.


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By presenting some time-space L p -L r estimates, we will establish the local and global existence and uniqueness of solutions for semilinear parabolic equations with the Cauchy data in critical Sobolev spaces of negative indices. Our results contain the complex (derivative) Ginzburg-Landau equation