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Blow-up of solutions to quasilinear parabolic equations

✍ Scribed by D. Erdem

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 206 KB
Volume: 12
Category: Article
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(98)00174-8

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✦ Synopsis

Communicated by C. Bardos Abstract--Sufficient conditions for global nonexistence (blow up) of solutions of the initialboundary value problem for a class of second-order quasilinear parabolic equations: 0(( 0o) i=I are established. (~) 1999 Elsevier Science Ltd. All rights reserved.

Keywords--Quasilinear parabolic equations, Blow-up.

In this note, we consider the following problem:

) ) ut -~ d + IV ul p-2 Ou i=1 ' ~Xi q-g(u, V U) ----f(u), u(z,o) = uo(z), z Eft,

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