Belkacem Chaouchi
Abstract:
In this note, we present an abstract approach for the study of a
second-order boundary-value problem on cusp domain.
This study is performed in the framework of anisotropic
little Holder spaces. Our strategy is to use of the
commutative version of the well known sums of operators theory.
This technique allows us to obtain the space regularity of
the unique strict solution for our problem.
Submitted May 2, 2013. Published September 11, 2013.
Math Subject Classifications: 35L05, 46E35, 47A62.
Key Words: Little Holder space; sum of linear operators; cusp domain.
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Belkacem Chaouchi Lab. de l'Energie et des Systè:mes Intelligents Khemis Miliana University, Algeria email: chaouchicukm@gmail.com |
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