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Open Access Research Article

Almost Periodic Viscosity Solutions of Nonlinear Parabolic Equations

Shilin Zhang and Daxiong Piao*

Author Affiliations

School of Mathematical Sciences, Ocean University of China, Qingdao 266071, China

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Boundary Value Problems 2009, 2009:873526  doi:10.1155/2009/873526

Published: 14 July 2009

Abstract

We generalize the comparison result 2007 on Hamilton-Jacobi equations to nonlinear parabolic equations, then by using Perron's method to study the existence and uniqueness of time almost periodic viscosity solutions of nonlinear parabolic equations under usual hypotheses.