The asymptotic behaviour of solutions of a porous medium equation with bounded measurable coefficients

Chung Ki Cho; Hi Jun Choe

doi:10.1006/jmaa.1997.5400

The asymptotic behaviour of solutions of a porous medium equation with bounded measurable coefficients

Chung Ki Cho, Hi Jun Choe

Department of Mathematics

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

4 Citations (Scopus)

Abstract

We prove the Hölder continuity of the interface of a solution of a porous medium equation with bounded measurable coefficients. We also describe the asymptotic behaviour as time goes to infinity.

Original language	English
Pages (from-to)	241-256
Number of pages	16
Journal	Journal of Mathematical Analysis and Applications
Volume	210
Issue number	1
DOIs	https://doi.org/10.1006/jmaa.1997.5400
Publication status	Published - 1997 Jun 1

Bibliographical note

Funding Information:
* This research is supported by RIM-GARC, Nondirected Research Fund, Korea Research Foundation, 1993, and BSRI Program, Korea Ministry of Education, 1994, Project N94121.

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1006/jmaa.1997.5400

Cite this

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title = "The asymptotic behaviour of solutions of a porous medium equation with bounded measurable coefficients",

abstract = "We prove the H{\"o}lder continuity of the interface of a solution of a porous medium equation with bounded measurable coefficients. We also describe the asymptotic behaviour as time goes to infinity.",

author = "Cho, {Chung Ki} and Choe, {Hi Jun}",

note = "Funding Information: * This research is supported by RIM-GARC, Nondirected Research Fund, Korea Research Foundation, 1993, and BSRI Program, Korea Ministry of Education, 1994, Project N94121.",

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N2 - We prove the Hölder continuity of the interface of a solution of a porous medium equation with bounded measurable coefficients. We also describe the asymptotic behaviour as time goes to infinity.

AB - We prove the Hölder continuity of the interface of a solution of a porous medium equation with bounded measurable coefficients. We also describe the asymptotic behaviour as time goes to infinity.

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The asymptotic behaviour of solutions of a porous medium equation with bounded measurable coefficients

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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