Pointwise estimates for solutions of singular quasi-linear parabolicequations

Vitali Liskevich; Igor I. Skrypnik

doi:10.3934/dcdss.2013.6.1029

Article Contents

2013, Volume 6, Issue 4: 1029-1042. Doi: 10.3934/dcdss.2013.6.1029

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Pointwise estimates for solutions of singular quasi-linear parabolic equations

Vitali Liskevich^1, and
Igor I. Skrypnik^2,

1.
Department of Mathematics, Swansea University, Swansea SA2 8PP
2.
Institute of Applied Mathematics and Mechanics, Donetsk 83114

Received: February 28, 2011

Revised: August 31, 2011

Published: July 2013

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Abstract

For a class of singular divergence type quasi-linear parabolicequations with a Radon measure on the right hand side we derivepointwise estimates for solutions via the nonlinear Wolffpotentials.

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Mathematics Subject Classification: 35B40, 35K55.

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