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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

Gary Lieberman 1,

1. 

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

Received  September 2002 Published  April 2003

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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