Geodesic
Boundary value problem for the pseudoparabolic equations
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2010), pp. 16-21.

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In the present paper the boundary value problem for the Sobolev type equation $$ \begin{cases} \dfrac{\partial}{\partial t}L(u(t,x))+M(u(t,x))=f(t,x),\quad t>0,~~~x=(x_1,\ldots,x_n)\in \Omega\subset\mathbb{R}^n,\\ u\big|_{\partial\Omega}=0,\\ (Lu)(0,x)=g(z),\quad x\in\Omega,\end{cases} $$ 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.
Keywords: monotone and radial operators.
Mots-clés : Sobolev type equations, pseudoparabolic equations 
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S. Ghorbanian. Boundary value problem for the pseudoparabolic equations. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2010), pp. 16-21. http://geodesic.mathdoc.fr/item/UZERU_2010_1_a2/

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