On efficient abstract method for the study of Cauchy problem for a second order differential equation set on a singular cylindrical domain

Belkacem Chaouchi

doi:10.26637/MJM0602/0005

Abstract

In this work, we present an abstract approach for the study of a mixed initial value problem set in cylindrical
domain with a cusp base. Maximal Lp regularity results for the strict solution are established.

Keywords:

Fractional powers of linear operators, analytic semigroup, Abstract differential equation,, Cuspidal point.

Mathematics Subject Classification:

Mathematics

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Belkacem Chaouchi Lab. de l’Energie et des Syst`emes Intelligents, Khemis Miliana University, Algeria.

Pages: 331-337
Date Published: 01-04-2018
Vol. 6 No. 02 (2018): Malaya Journal of Matematik (MJM)

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