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Nonuniqueness of the Positive Dirichlet Problem for Parabolic Equations in Cylinders

✍ Scribed by Minoru Murata

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 823 KB
Volume: 135
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.1996.0016

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✦ Synopsis

We investigate uniqueness of nonnegative solutions to parabolic equations in cylinders of R n+1 with zero Dirichlet boundary condition, where bases of cylinders are unbounded domains. We give necessary andÂor sufficient conditions for the uniqueness in terms of geometric properties of the bases.

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