Existence And Uniqueness Of Strong Solution For A Semi- Linear Wave Equation With Nonlinear Boundary Dissipation
published by Tishreen University
in 2016
in
and research's language is
العربية
Download
Abstract in English
We aim in this research to study the existence and uniqueness of strong solution for
initial-boundary values problem for a semi-linear wave equation with the nonlinear
boundary dissipation, by transforming it to a Cauchy problem with second order operator
differential equations in Hilbert space. Therefore, we transform it, using Green's formula
for a triple of Hilbert spaces.
References used
CHUESHOV,I.D, ELLER,M, and LASIECKA,I. ''Finite dimensionality of the attractor for a semi-linear wave equation with non linear boundary dissipation ''. Partial differential equations ,29,No,11-12,1847-1867, 2004
KOPACHEVSKY,N.D, KREIN,S.G, and Nogo Zui Kan. ''Operato methods in linear Hydrodynamics: Evolution and Spectral problems''. Moscow,1989
KOPACHEVSKY,N.D.An abstract Green formula for a triple of Hilbert spaces and its applications to the Stokes problem ,Tavrich. Vestn. Mat. Inf., No. 2, 52–80,2004