ISSN:
1572-9222
Keywords:
Wave equation
;
dissipation
;
convergence
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract We prove that any bounded solution (u, u 1) ofu u +du t −Δu+f(u)=0,u=u(x, t), x∈ℝN,N⩾3, converges to a fixed stationary state provided its initial energy is appropriately small. The theory of concentrated compactness is used in combination with some recent results concerning the uniqueness of the so-called ground-state solution of the corresponding stationary problem.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02219055
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