BOUNDARY VALUE PROBLEM FOR THE PSEUDOPARABOLIC EQUATIONS
DOI:
https://doi.org/10.46991/PYSU:A/2010.44.1.016Keywords:
Sobolev type equations, pseudoparabolic equations, monotone and radial operatorsAbstract
In the present paper the boundary value problem for the Sobolev type equation $$
\begin{cases}
\dfrac{\partial}{\partial t}L(u(t,x))+M(u(t,x))=f(t,x), \\ \qquad t>0,~~~x=(x_1,\ldots,x_n)\in \Omega\subset\mathbb{R}^n,\\
u\big|_{\partial\Omega}=0,\\
(Lu)(0,x)=g(z),\quad x\in\Omega,\end{cases}
$$
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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Published
2010-01-26
How to Cite
Ghorbanian, S. (2010). BOUNDARY VALUE PROBLEM FOR THE PSEUDOPARABOLIC EQUATIONS. Proceedings of the YSU A: Physical and Mathematical Sciences, 44(1 (221), 16–21. https://doi.org/10.46991/PYSU:A/2010.44.1.016
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Mathematics
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