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The Behavior of the Life Span for Solutions tout=Δu+a(x)upinRd

✍ Scribed by Ross G Pinsky

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 390 KB
Volume: 147
Category: Article
ISSN: 0022-0396
DOI: 10.1006/jdeq.1998.3438

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Consider the quasilinear Cauchy problem where a>0, p and q satisfy p 0 and q 1 or p>1 and q=0, and This paper proves that the above equation possesses a unique positive classical solution and then investigates whether or not ##lim t Ä R d u(x, t) dx=0. In particular, it is shown that if a is on th