On asymptotic stability of kink for relativistic Ginzburg-Landau equation

Details On asymptotic stability of kink for relativistic Ginzburg-Landau equation On asymptotic stability of kink for relativistic Ginzburg-Landau equation

2009-10-29

arxiv.org/abs/0910.5539v2

Mathematics

Analysis of PDEs

Scientific paper

We prove the asymptotic stability of standing kink for the nonlinear relativistic wave equations of the Ginzburg-Landau type in one space dimension: for any odd initial condition in a small neighborhood of the kink, the solution, asymptotically in time, is the sum of the kink and dispersive part described by the free Klein-Gordon equation. The remainder converges to zero in a global norm. Crucial role in the proofs play our recent results on the weighted energy decay for the Klein-Gordon equations.

Affiliated with

Also associated with

No associations

Rating

On asymptotic stability of kink for relativistic Ginzburg-Landau equation 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 On asymptotic stability of kink for relativistic Ginzburg-Landau equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On asymptotic stability of kink for relativistic Ginzburg-Landau equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-404241