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2012•Journal of Mathematics and StatisticsOpen access

An Integral Two Space-Variables Condition for Parabolic Equations

Seetha

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Abstract

In this study, an integral two space-variables condition for a class of parabolic equations.The existence and uniqueness of the solution in the functional weighted Sobolev space were proved.The proof is based on two-sided a priori estimates and on the density of the range of the operator generated by the considered problem.

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In this study, an integral two space-variables condition for a class of parabolic equations.The existence and uniqueness of the solution in the functional weighted Sobolev space were proved.The proof is based on two-sided a priori estimates and on the density of the range of the operator generated by the considered problem.

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Available abstract

In this study, an integral two space-variables condition for a class of parabolic equations.The existence and uniqueness of the solution in the functional weighted Sobolev space were proved.The proof is based on two-sided a priori estimates and on the density of the range of the operator generated by the considered problem.

Key concepts: Mathematics, Uniqueness, Sobolev space, Mathematical analysis, Space (punctuation), A priori and a posteriori, Parabolic partial differential equation, A priori estimate

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