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A Pseudo-parabolic Type Equation with Nonlinear Sources
Authors:LI YING-HUA  CAO YANG  WANG YI-FU
Institution:LI YING-HUA~1,CAO YANG~2 AND WANG YI-FU~3 (1.School of Mathematical Sciences,South China Normal University,Guangzhou,510631) (2.School of Mathematical Sciences,Dalian University of Technology,Dalian,116024) (3.Department of Mathematics,Beijing Institute of Technology,Beijing,100081)
Abstract:This paper is concerned with the existence and uniqueness of nonnegative classical solutions to the initial-boundary value problems for the pseudo-parabolic equation with strongly nonlinear sources.Furthermore,we discuss the asymptotic behavior of solutions as the viscosity coefficient k tends to zero.
Keywords:pseudo-parabolic equation  existence  uniqueness  asymptotic behavior  
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