2010; Physical and Mathematical Sciences, 44(1 (221): 16–21
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BOUNDARY VALUE PROBLEM FOR THE PSEUDOPARABOLIC EQUATIONS

Siavash Ghorbanian*

Received: 2025-02-27 · Published: 2010-01-26

© 2010 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
BOUNDARY VALUE PROBLEM FOR THE PSEUDOPARABOLIC EQUATIONS
Author
Siavash Ghorbanian
Published
2010-01-26
Licence
Creative Commons Attribution 4.0 International

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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