Everywhere regularity of solutions to a class of strongly coupled degenerate parabolic systems

Dung Le; Toan Trong Nguyen

doi:10.1080/0360530050036038

Everywhere regularity of solutions to a class of strongly coupled degenerate parabolic systems

Dung Le, Toan Trong Nguyen

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

16 Scopus citations

Abstract

A class of strongly coupled degenerate parabolic system is considered. Sufficient conditions will be given to show that bounded weak solutions are Hölder continuous everywhere. The general theory will be applied to a generalized porous media type Shigesada-Kawasaki-Teramoto model in population dynamics.

Original language	English (US)
Pages (from-to)	307-324
Number of pages	18
Journal	Communications in Partial Differential Equations
Volume	31
Issue number	2
DOIs	https://doi.org/10.1080/0360530050036038
State	Published - Jan 2006

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1080/0360530050036038

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title = "Everywhere regularity of solutions to a class of strongly coupled degenerate parabolic systems",

abstract = "A class of strongly coupled degenerate parabolic system is considered. Sufficient conditions will be given to show that bounded weak solutions are H{\"o}lder continuous everywhere. The general theory will be applied to a generalized porous media type Shigesada-Kawasaki-Teramoto model in population dynamics.",

author = "Dung Le and Nguyen, {Toan Trong}",

note = "Funding Information: The authors would like to thank the referees for their comments and suggestions. The first author was supported in part by NSF Grant #DMS0305219, Applied Mathematics Program.",

year = "2006",

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doi = "10.1080/0360530050036038",

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AU - Le, Dung

AU - Nguyen, Toan Trong

N1 - Funding Information: The authors would like to thank the referees for their comments and suggestions. The first author was supported in part by NSF Grant #DMS0305219, Applied Mathematics Program.

PY - 2006/1

Y1 - 2006/1

N2 - A class of strongly coupled degenerate parabolic system is considered. Sufficient conditions will be given to show that bounded weak solutions are Hölder continuous everywhere. The general theory will be applied to a generalized porous media type Shigesada-Kawasaki-Teramoto model in population dynamics.

AB - A class of strongly coupled degenerate parabolic system is considered. Sufficient conditions will be given to show that bounded weak solutions are Hölder continuous everywhere. The general theory will be applied to a generalized porous media type Shigesada-Kawasaki-Teramoto model in population dynamics.

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EP - 324

JO - Communications in Partial Differential Equations

JF - Communications in Partial Differential Equations

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Everywhere regularity of solutions to a class of strongly coupled degenerate parabolic systems

Abstract

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