Study of the blow-up set by transformation

Amin Boumenir

doi:10.1006/jmaa.1996.0282

Study of the blow-up set by transformation

Amin Boumenir^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

3 Scopus citations

Abstract

We obtain some new results on blow-up for the heat equation with nonlinear sources by transformation into an absorption problem. Our work is related to that of Kawohl and Peletier who first developed such a transformation in some special cases. Here we provide a systematic method for constructing a suitable transformation by using the class of regularly varying functions. Through regularization we obtain a precise characterization of the blow-up set as zeros of a certain ∈-steady-state.

Original language	English
Pages (from-to)	697-714
Number of pages	18
Journal	Journal of Mathematical Analysis and Applications
Volume	201
Issue number	3
DOIs	https://doi.org/10.1006/jmaa.1996.0282
State	Published - 1 Aug 1996

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1006/jmaa.1996.0282

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title = "Study of the blow-up set by transformation",

abstract = "We obtain some new results on blow-up for the heat equation with nonlinear sources by transformation into an absorption problem. Our work is related to that of Kawohl and Peletier who first developed such a transformation in some special cases. Here we provide a systematic method for constructing a suitable transformation by using the class of regularly varying functions. Through regularization we obtain a precise characterization of the blow-up set as zeros of a certain ∈-steady-state.",

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AB - We obtain some new results on blow-up for the heat equation with nonlinear sources by transformation into an absorption problem. Our work is related to that of Kawohl and Peletier who first developed such a transformation in some special cases. Here we provide a systematic method for constructing a suitable transformation by using the class of regularly varying functions. Through regularization we obtain a precise characterization of the blow-up set as zeros of a certain ∈-steady-state.

UR - https://www.scopus.com/pages/publications/0030213183

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DO - 10.1006/jmaa.1996.0282

M3 - Article

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EP - 714

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 3

ER -

Study of the blow-up set by transformation

Abstract

ASJC Scopus subject areas

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