Existence of a Global Solution for a Viscoelastic System
نویسندگان
چکیده
منابع مشابه
Global Existence and Asymptotic Behavior for a Nonlinear Viscoelastic Problem
In this paper the nonlinear viscoelastic wave equation |ut|utt −∆u−∆utt + ∫ t 0 g(t− τ)∆u(τ)dτ − γ∆ut = b|u|p−2u is considered. Using the potential well method a global existence and an exponential decay result are proved. Moreover, for sufficiently large values of the initial data and for a suitable relation between p and the relaxation function g, we establish an unboundedness result.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1998
ISSN: 0022-247X
DOI: 10.1006/jmaa.1997.5754