On solvability of the first initial-boundary value problem for quasilinear pseudoparabolic equations

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摘要

In the paper, the solvability of the first initial-boundary value problem for a quasilinear pseudoparabolic equationut-Δut-∂∂xibijx,t,uuxj+cix,t,uuxi+ϑx,t,u=fx,twith increasing with respect to ζ functions bijx,t,ζ,cix,t,ζ and ϑx,t,ζ was investigated. The existence and uniqueness of regular solutions are proven.

论文关键词：Quasilinear pseudoparabolic equations,Non-linear equations,Equations of Sobolev type,Composite type equations,Boundary value problem

论文评审过程：Available online 24 August 2014.

论文官网地址：https://doi.org/10.1016/j.amc.2014.07.095