Remarks on the method of modulus of continuity and the modified dissipative Porous Media Equation

Kazuo Yamazaki

doi:10.1016/j.jde.2010.11.007

Remarks on the method of modulus of continuity and the modified dissipative Porous Media Equation

Kazuo Yamazaki

Mathematics and Statistics

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

10 Scopus citations

Abstract

We employ Besov space techniques and the method of modulus of continuity to obtain the global well-posedness of the modified Porous Media Equation.

Original language	English
Pages (from-to)	1909-1923
Number of pages	15
Journal	Journal of Differential Equations
Volume	250
Issue number	4
DOIs	https://doi.org/10.1016/j.jde.2010.11.007
State	Published - Feb 15 2011

Keywords

Besov space
Criticality
Porous Media Equation
Quasi-geostrophic equation

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10.1016/j.jde.2010.11.007

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title = "Remarks on the method of modulus of continuity and the modified dissipative Porous Media Equation",

abstract = "We employ Besov space techniques and the method of modulus of continuity to obtain the global well-posedness of the modified Porous Media Equation.",

keywords = "Besov space, Criticality, Porous Media Equation, Quasi-geostrophic equation",

author = "Kazuo Yamazaki",

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AB - We employ Besov space techniques and the method of modulus of continuity to obtain the global well-posedness of the modified Porous Media Equation.

KW - Besov space

KW - Criticality

KW - Porous Media Equation

KW - Quasi-geostrophic equation

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DO - 10.1016/j.jde.2010.11.007

M3 - Article

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SN - 0022-0396

VL - 250

SP - 1909

EP - 1923

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 4

ER -

Remarks on the method of modulus of continuity and the modified dissipative Porous Media Equation

Abstract

Keywords

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