Solvability of the Neumann problem for a Sobolev pseudoparabolic equation. (Russian. English summary) Zbl 07811640
Zh. Vychisl. Mat. Mat. Fiz. 46, No. 7, 1273-1282 (2006); translation in Comput. Math. Math. Phys. 46, No. 7, 1207-1215 (2006).
Summary: The dynamic potential constructed in this paper is used to analyze the existence of a classical solution to the Neumann problem for a Sobolev equation.
MSC:
| 35K70 | Ultraparabolic equations, pseudoparabolic equations, etc. |
| 35K20 | Initial-boundary value problems for second-order parabolic equations |
Keywords:
Sobolev pseudoparabolic equation; Neumann boundary value problem; solvability of problem; classical solutionReferences:
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