BOUNDARY VALUE PROBLEM FOR THE PSEUDOPARABOLIC EQUATIONS

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BOUNDARY VALUE PROBLEM FOR THE PSEUDOPARABOLIC EQUATIONS Siavash Ghorbanian

In the present paper the boundary value problem for the Sobolev type equation{∂∂tL(u(t,x))+M(u(t,x))=f(t,x),t>0,   x=(x1,…,xn)∈Ω⊂Rn,u|∂Ω=0,(Lu)(0,x)=g(z),x∈Ω,

is considered, where L and M are second-order differential operators. It is proved that under some conditions this problem in the corresponding space has the unique solution.

DOI: 10.46991/PYSUA.2010.44.1.016 Physical and Mathematical Sciences, 44(1 (221) 16-21

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Keywords

Sobolev type equations, pseudoparabolic equations, monotone and radial operators

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