A boundary value problem with multivariables integral type condition for parabolic equations (Q965866)
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scientific article; zbMATH DE number 5701575
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A boundary value problem with multivariables integral type condition for parabolic equations |
scientific article; zbMATH DE number 5701575 |
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A boundary value problem with multivariables integral type condition for parabolic equations (English)
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26 April 2010
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Summary: We study a boundary value problem with multivariables integral type condition for a class of parabolic equations. We prove the existence, uniqueness, and continuous dependence of the solution upon the data in the functional weighted Sobolev spaces. Results are obtained by using a functional analysis method based on two-sided a priori estimates and on the density of the range of the linear operator generated by the considered problem.
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existence
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uniqueness
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continuous dependence
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functional weighted Sobolev spaces
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