MiS Preprint Repository
We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
On transitions to stationary states in 1D nonlinear wave equations
Alexander KomechAbstract
We develop the theory of attractors for finite energy solutions to conservative nonlinear wave equations in a whole space. For "nondegenerate" equations the attractor coincides with the set of all finite energy stationary states. The convergence to the attractor holds as
- Received:
- 23.01.99
- Published:
- 23.01.99
- MSC Codes:
- 35L70, 37K40, 37K45
- Keywords:
- attractor, stationary state, fréchet topology, energy scattering to infinity, goursat problem