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

Belkacem Chaouchi 1 *

doi:10.26637/MJM0602/0005

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

Authors :

Belkacem Chaouchi ^{1 *}

Author Address :

¹ Lab. de l’Energie et des Systèmes Intelligents, Khemis Miliana University, Algeria.

*Corresponding author.

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 L p regularity results for the strict solution are established.

Keywords :

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

DOI :

10.26637/MJM0602/0005

Article Info :

Received : October 12, 2017; Accepted : February 05, 2018.