Instability results for the damped wave equation in unbounded domains
نویسندگان
چکیده
منابع مشابه
Instability results for the damped wave equation in unbounded domains
We extend some previous results for the damped wave equation in bounded domains in R to the unbounded case. In particular, we show that if the damping term is of the form αa with bounded a taking on negative values on a set of positive measure, then there will always exist unbounded solutions for sufficiently large positive α. In order to prove these results, we generalize some existing results...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2005
ISSN: 0022-0396
DOI: 10.1016/j.jde.2004.06.006