Regional blow-up of solutions to the initial boundary value problem for ut = uδ(Δu + u)

Masayoshi Tsutsumi; Tetsuya Ishiwata

doi:10.1017/s030821050002388x

Regional blow-up of solutions to the initial boundary value problem for u_t = u^δ(Δu + u)

Masayoshi Tsutsumi, Tetsuya Ishiwata

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

6 Citations (Scopus)

Abstract

Non-negative solutions of the initial boundary value problem for a degenerate parabolic equation are investigated. It is shown that solutions blow up regionally in finite tine. The size of blow-up sets is determined for radially symmetric cases.

Original language	English
Pages (from-to)	871-887
Number of pages	17
Journal	Royal Society of Edinburgh - Proceedings A
Volume	127
Issue number	4
DOIs	https://doi.org/10.1017/s030821050002388x
Publication status	Published - 1997 Jan 1
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

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title = "Regional blow-up of solutions to the initial boundary value problem for ut = uδ(Δu + u)",

abstract = "Non-negative solutions of the initial boundary value problem for a degenerate parabolic equation are investigated. It is shown that solutions blow up regionally in finite tine. The size of blow-up sets is determined for radially symmetric cases.",

author = "Masayoshi Tsutsumi and Tetsuya Ishiwata",

year = "1997",

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doi = "10.1017/s030821050002388x",

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AU - Ishiwata, Tetsuya

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Y1 - 1997/1/1

N2 - Non-negative solutions of the initial boundary value problem for a degenerate parabolic equation are investigated. It is shown that solutions blow up regionally in finite tine. The size of blow-up sets is determined for radially symmetric cases.

AB - Non-negative solutions of the initial boundary value problem for a degenerate parabolic equation are investigated. It is shown that solutions blow up regionally in finite tine. The size of blow-up sets is determined for radially symmetric cases.

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Regional blow-up of solutions to the initial boundary value problem for u_t = u^δ(Δu + u)

Abstract

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