Global attractors for strongly damped wave equations with displacement dependent damping and nonlinear source term of critical exponent

Details Global attractors for strongly damped wave equations with displacement dependent damping and nonlinear source term of critical exponent Global attractors for strongly damped wave equations with displacement dependent damping and nonlinear source term of critical exponent

2010-03-24

arxiv.org/abs/1003.4760v3

Mathematics

Analysis of PDEs

Scientific paper

In this paper the long time behaviour of the solutions of 3-D strongly damped wave equation is studied. It is shown that the semigroup generated by this equation possesses a global attractor in H_{0}^{1}(\Omega)\times L_{2}(\Omega) and then it is proved that this global attractor is a bounded subset of H^{2}(\Omega)\times H^{2}(\Omega) and also a global attractor in H^{2}(\Omega)\cap H_{0}^{1}(\Omega)\times H_{0}^{1}(\Omega).

Affiliated with

Also associated with

No associations

Rating

Global attractors for strongly damped wave equations with displacement dependent damping and nonlinear source term of critical exponent does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Global attractors for strongly damped wave equations with displacement dependent damping and nonlinear source term of critical exponent, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Global attractors for strongly damped wave equations with displacement dependent damping and nonlinear source term of critical exponent will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-555516