Strongly damped wave equation with exponential nonlinearities
نویسندگان
چکیده
منابع مشابه
Attractors for Strongly Damped Wave Equations with Critical Nonlinearities
In this paper we obtain global well-posedness results for the strongly damped wave equation utt + (−∆)θut = ∆u + f(u), for θ ∈ [1 2 , 1 ] , in H 0(Ω)×L(Ω) when Ω is a bounded smooth domain and the map f grows like |u|n+2 n−2 . If f = 0, then this equation generates an analytic semigroup with generator −A(θ). Special attention is devoted to the case when θ = 1 since in this case the generator −A...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2014
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2014.05.010