2,170 research outputs found
Long time dynamics for damped Klein-Gordon equations
For general nonlinear Klein-Gordon equations with dissipation we show that
any finite energy radial solution either blows up in finite time or
asymptotically approaches a stationary solution in . In
particular, any global solution is bounded. The result applies to standard
energy subcritical focusing nonlinearities ,
1\textless{}p\textless{}(d+2)/(d-2) as well as any energy subcritical
nonlinearity obeying a sign condition of the Ambrosetti-Rabinowitz type. The
argument involves both techniques from nonlinear dispersive PDEs and dynamical
systems (invariant manifold theory in Banach spaces and convergence theorems)
Breakdown of C3 complement and IgG in peritonitis exudate-pathophysiological aspects and therapeutic approach
Influence of the lysosomal elastase inhibitor eglin on development of interstitial lung edema in E. coli bacteremia in pigs
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