Nonlocal problems for quasilinear parabolic equations in divergence form

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2003, 2003(Special): 563-570. doi: 10.3934/proc.2003.2003.563

Nonlocal problems for quasilinear parabolic equations in divergence form

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

Received September 2002 Published April 2003

Abstract
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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.

Keywords: nonlocal problems, quasilinear parabolic equations, a priori estimates..

Mathematics Subject Classification: Primary: 35K60; Secondary: 35R1.

Citation: Gary Lieberman. Nonlocal problems for quasilinear parabolic equations in divergence form. Conference Publications, 2003, 2003 (Special) : 563-570. doi: 10.3934/proc.2003.2003.563

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