A Boundary Value Problem with Multivariables Integral Type Condition for Parabolic Equations

A. L. Marhoune and F. Lakhal

International Journal of Stochastic Analysis, 2009, vol. 2009, 1-13

Abstract:

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 wieghted 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.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:975601

DOI: 10.1155/2009/975601

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