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

A. L. Marhoune | Zendy; Fahim Lakhal | Zendy

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

Author(s) -

A. L. Marhoune,

Fahim Lakhal

Publication year - 2009

Publication title -

international journal of stochastic analysis

Language(s) - English

Resource type - Journals

eISSN - 2090-3340

pISSN - 2090-3332

DOI - 10.1155/2009/975601

Subject(s) - mathematics , uniqueness , sobolev space , mathematical analysis , type (biology) , boundary value problem , operator (biology) , a priori and a posteriori , class (philosophy) , boundary (topology) , ecology , biochemistry , chemistry , philosophy , epistemology , repressor , artificial intelligence , gene , transcription factor , computer science , biology

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

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