Attractors for damped semilinear wave equations with singularly perturbed acoustic boundary conditions

Attractors for damped semilinear wave equations with singularly perturbed acoustic boundary conditions

Under consideration is the damped semilinear wave equation $$ u_{tt}+u_t-\Delta u+u+f(u)=0 $$ in a bounded domain $\Omega$ in $\mathbb{R}^3$ subject to an acoustic boundary condition with a singular perturbation, which we term "massless acoustic perturbation", $$ \varepsilon\delta_...

Полное описание

Библиографические подробности
Главный автор:	Joseph L. Shomberg
Формат:	Статья
Язык:	English
Опубликовано:	Texas State University 2018-08-01
Серии:	Electronic Journal of Differential Equations
Предметы:	Damped semilinear wave equation acoustic boundary condition singular perturbation global attractor upper-semicontinuity exponential attractor critical nonlinearity
Online-ссылка:	http://ejde.math.txstate.edu/Volumes/2018/152/abstr.html

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