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A mixed problem with an integral two-space-variables condition for parabolic equation with the Bessel operator - MaRDI portal

A mixed problem with an integral two-space-variables condition for parabolic equation with the Bessel operator (Q355710)

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scientific article; zbMATH DE number 6191156
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English
A mixed problem with an integral two-space-variables condition for parabolic equation with the Bessel operator
scientific article; zbMATH DE number 6191156

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    A mixed problem with an integral two-space-variables condition for parabolic equation with the Bessel operator (English)
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    25 July 2013
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    Summary: We study a mixed problem with an integral two-space-variables condition for parabolic equation with the Bessel operator. The existence and uniqueness of the solution in functional weighted Sobolev space are proved. The proof is based on a priori estimate ``energy inequality'' and the density of the range of the operator generated by the problem considered.
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    existence and uniqueness
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    weighted Sobolev space
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