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

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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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     author = {A. I. Kozhanov and N. S. Popov},
     title = {On solvability to nonlocal boundary value problems for pseudoparabolic equations},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {46--62},
     publisher = {mathdoc},
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     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2010_10_3_a3/}
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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/