BOUNDARY VALUE PROBLEM FOR THE PSEUDOPARABOLIC EQUATIONS

Siavash Ghorbanian

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Abstract

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.

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BOUNDARY VALUE PROBLEM FOR THE PSEUDOPARABOLIC EQUATIONS

Abstract

Author(s)

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BOUNDARY VALUE PROBLEM FOR THE PSEUDOPARABOLIC EQUATIONS

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