On the existence of solutions of the cauchy problem for a doubly nonlinear parabolic equation

Kazuhiro Ishige

doi:10.1137/S0036141094270370

On the existence of solutions of the cauchy problem for a doubly nonlinear parabolic equation

Kazuhiro Ishige

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

45 Citations (Scopus)

Abstract

For the existence of weak solutions of ∂/∂t(|u|^β-1u) = div(|▽u|^p-2▽u) with |u|^β-1u(·, 0) = μ(·), we give a sufficient condition for the growth order of the initial data μ(x) as |x| → ∞.

Original language	English
Pages (from-to)	1235-1260
Number of pages	26
Journal	SIAM Journal on Mathematical Analysis
Volume	27
Issue number	5
DOIs	https://doi.org/10.1137/S0036141094270370
Publication status	Published - 1996 Sep 1

Keywords

Cauchy problem
Doubly nonlinear parabolic equation

ASJC Scopus subject areas

Analysis
Computational Mathematics
Applied Mathematics

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10.1137/S0036141094270370

Cite this

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abstract = "For the existence of weak solutions of ∂/∂t(|u|β-1u) = div(|▽u|p-2▽u) with |u|β-1u(·, 0) = μ(·), we give a sufficient condition for the growth order of the initial data μ(x) as |x| → ∞.",

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KW - Doubly nonlinear parabolic equation

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On the existence of solutions of the cauchy problem for a doubly nonlinear parabolic equation

Abstract

Keywords

ASJC Scopus subject areas

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