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A three-point boundary value problem with an integral two-space-variables condition for parabolic equations

✍ Scribed by A.L. Marhoune

Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 211 KB
Volume: 53
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2006.04.031

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✦ Synopsis

In this paper, we study a three-point boundary value problem with 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 are proved. The proof is based on two-sided a priori estimates and on the density of the range of the operator generated by the problem considered.

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