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Asymptotic behavior of gradient dissipative systems. (English) Zbl 0657.35014

Dynamics of infinite dimensional systems, Proc. NATO Adv. Study Inst., Lisbon/Port. 1986, NATO ASI Ser., Ser. F 37, 123-128 (1987).
[For the entire collection see Zbl 0623.00009.]
We summarize recent results on dissipative gradient systems and give applications to some hyperbolic equations.

MSC:

35B40 Asymptotic behavior of solutions to PDEs
35R20 Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions)
34G20 Nonlinear differential equations in abstract spaces
35L70 Second-order nonlinear hyperbolic equations

Citations:

Zbl 0623.00009