Nonlocal problems for quasilinear parabolic equations in divergence form

Gary Lieberman

doi:10.3934/proc.2003.2003.563

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2003, Volume 2003: 563-570. Doi: 10.3934/proc.2003.2003.563 open access

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Nonlocal problems for quasilinear parabolic equations in divergence form

Gary Lieberman^1,

1.
Department of Mathematics, Iowa State University, Ames, IA 50011

Received: August 31, 2002

Published: March 2003

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Abstract

We study a class of quasilinear parabolic equations with nonlocal initial conditions. The initial conditions are a generalization of periodicity with respect to time and include conditions studied by other authors, which can be used to study inverse problems and problems arising in reactor theory.

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Mathematics Subject Classification: Primary: 35K60; Secondary: 35R10.

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