Mixed problems for the wave equation. III. Exponential decay of solutions
نویسندگان
چکیده
منابع مشابه
Exponential decay of solutions of a nonlinearly damped wave equation
The issue of stablity of solutions to nonlinear wave equations has been addressed by many authors. So many results concerning energy decay have been established. Here in this paper we consider the following nonlinearly damped wave equation utt −∆u+ a(1 + |ut|)ut = bu|u|p−2, a, b > 0, in a bounded domain and show that, for suitably chosen initial data, the energy of the solution decays exponenti...
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ژورنال
عنوان ژورنال: Publications of the Research Institute for Mathematical Sciences
سال: 1978
ISSN: 0034-5318
DOI: 10.2977/prims/1195189281