Geodesic
On solvability to nonlocal boundary value problems for pseudoparabolic equations
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 10 (2010) no. 3, pp. 46-62 Cet article a éte moissonné depuis la source Math-Net.Ru

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The nonlocal boundary value problems connected with the problems with A. A. Samarskii conditions and the problems with integral conditions for pseudoparabolic equations $$u_t-a(x,t)u_{xx}+c(x,t)u-u_{xxt}=f(x,t)$$ are investigated. The existence and uniqueness of regular solutions are proved.
Keywords: pseudoparabolic equations; nonlocal boundary value problem; regular solutions; existence; uniqueness. 
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A. I. Kozhanov; N. S. Popov. On solvability to nonlocal boundary value problems for pseudoparabolic equations. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 10 (2010) no. 3, pp. 46-62. http://geodesic.mathdoc.fr/item/VNGU_2010_10_3_a3/

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