Nonclassical semilinear boundary value problem for parabolic pseudodifferential equations in Sobolev spaces

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Nonclassical semilinear boundary value problem for parabolic pseudodifferential equations in Sobolev spaces

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dc.contributor.author Egorov, Yu.V.
dc.contributor.author N.M., Chuong
dc.contributor.author D.A., Tuan
dc.date.accessioned 2011-05-09T05:25:17Z
dc.date.available 2011-05-09T05:25:17Z
dc.date.issued 2006
dc.identifier.citation Volume: 74, Issue: 3, Page : 874-877 vi
dc.identifier.issn 10645624
dc.identifier.uri http://tainguyenso.vnu.edu.vn/jspui/handle/123456789/7229
dc.description.abstract A nonclassical nonlinear boundary value problem for parabolic pseudodifferential equations in the Sobolev spaces is considered. The problem is reduced to a boundary value problem for an elliptic equation by applying the Laplace Transforms. The existence of a solution is proved by using the Schauder theorem. The Laplace transform is used to solve parabolic pseudodifferential equations in the Sobolev spaces. The proof is substantially simplified by applying the Schauder theorem. vi
dc.language.iso en vi
dc.publisher Doklady Mathematics vi
dc.subject Boundary conditions vi
dc.subject Differential equations vi
dc.subject Problem solving vi
dc.subject Theorem proving vi
dc.subject Pseudodifferential equations vi
dc.subject Schauder theorem vi
dc.subject Sobolev spaces vi
dc.subject Nonlinear equations vi
dc.title Nonclassical semilinear boundary value problem for parabolic pseudodifferential equations in Sobolev spaces vi
dc.type Article vi

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