Strong positivity of continuous supersolutions to parabolic equations with rough boundary data

Dung Le

doi:10.3934/dcds.2015.35.1521

Article Contents

2015, Volume 35, Issue 4: 1521-1530. Doi: 10.3934/dcds.2015.35.1521

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Strong positivity of continuous supersolutions to parabolic equations with rough boundary data

Dung Le^1,

1.
Department of Mathematics, University of Texas at San Antonio, One UTSA Circle, San Antonio, TX 78249

Received: June 2013

Revised: May 2014

Published: May 2017

Abstract / Introduction Related Papers Cited by

Abstract

Parabolic equations given on domains with corners are considered. Under very weak assumption on the coefficients, it will be shown that continuous nonnegative supersolutions are strictly positive.

Keywords:

Parabolic equations,
strong positivity.

Mathematics Subject Classification: 35K65, 35B65.

Citation:

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References

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