ISSN:
1432-0673
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract . We consider the long‐time asymptotics of solutions to one‐dimensional nonlinear wave equations, which are infinite‐dimensional Hamiltonian systems. We assume that the nonlinear term is concentrated at a finite segment of the line. We prove long‐time convergence to stationary states for all finite‐energy solutions in the Fréchet topology defined by local energy seminorms. This means that the set of stationary states is a point attractor for the systems in the Fréchet topology. The investigation is inspired by N. Bohr's postulate on the transitions between stationary states in quantum systems.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s002050050173
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