Smooth localized parametric resonance for wave equations
نویسندگان
چکیده
منابع مشابه
Smooth Localized Parametric Resonance for Wave Equations
This example is studied using Floquet theory. A classic example is k(t) = 1 + ε cosωt, where one finds regions of instability in the ε, ω plane for which there are solutions which grow exponentially in time. The instability regions are open and with closures touching ε = 0 at critical frequencies (see [A], [MW]). For any t, the constant coefficient problems with k frozen at k(t) is conservative...
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ژورنال
عنوان ژورنال: Journal für die reine und angewandte Mathematik (Crelles Journal)
سال: 2008
ISSN: 0075-4102,1435-5345
DOI: 10.1515/crelle.2008.015