Analyticity and Gevrey class regularity for a strongly damped wave equation with hyperbolic dynamic boundary conditions

2013 ◽  
Vol 88 (2) ◽  
pp. 333-365 ◽  
Author(s):  
Philip Jameson Graber ◽  
Irena Lasiecka
Keyword(s):  
Wave Equation ◽  
Boundary Conditions ◽  
Gevrey Class ◽  
Damped Wave Equation ◽  
Dynamic Boundary Conditions ◽  
Dynamic Boundary ◽  
Strongly Damped Wave Equation ◽  
Gevrey Class Regularity ◽  
Strongly Damped

Approximate controllability of semilinear impulsive strongly damped wave equation

2015 ◽  
Vol 21 (1) ◽  
Author(s):  
Hanzel Larez ◽  
Hugo Leiva ◽  
Jorge Rebaza ◽  
Addison Ríos
Keyword(s):  
Fixed Point ◽  
Wave Equation ◽  
Fixed Point Theorem ◽  
Boundary Conditions ◽  
Approximate Controllability ◽  
Dirichlet Boundary ◽  
Dirichlet Boundary Conditions ◽  
Damped Wave Equation ◽  
Strongly Damped Wave Equation ◽  
Strongly Damped

AbstractRothe's fixed-point theorem is applied to prove the interior approximate controllability of a semilinear impulsive strongly damped wave equation with Dirichlet boundary conditions in the space

scholarly journals On the strongly damped wave equation and the heat equation with mixed boundary conditions

2000 ◽  
Vol 5 (3) ◽  
pp. 175-189
Author(s):  
Aloisio F. Neves
Keyword(s):  
Wave Equation ◽  
Boundary Conditions ◽  
Heat Equation ◽  
Mixed Boundary ◽  
Strong Solutions ◽  
Mixed Boundary Conditions ◽  
Global Attractors ◽  
Damped Wave Equation ◽  
Strongly Damped Wave Equation ◽  
Strongly Damped

We study two one-dimensional equations: the strongly damped wave equation and the heat equation, both with mixed boundary conditions. We prove the existence of global strong solutions and the existence of compact global attractors for these equations in two different spaces.

Sign in / Sign up

Export Citation Format

Share Document