On nonlinear evolution variational inequalities involving variable exponent
نویسندگان
چکیده
منابع مشابه
On nonlinear evolution variational inequalities involving variable exponent
In this paper, we discuss a class of quasilinear evolution variational inequalities with variable exponent growth conditions in a generalized Sobolev space. We obtain the existence of weak solutions by means of penalty method. Moreover, we study the extinction properties of weak solutions to parabolic inequalities and provide a sufficient condition that makes the weak solutions vanish in a fini...
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and Applied Analysis 3 and satisfying ‖x‖ L 2 (0,T;V)∩W 1,2 (0,T;V ∗ ) ≤ C 1 ( x0 + ‖k‖L2(0,T;V∗)) , (17) where C 1 is a constant depending on T. Letf be a nonlinear single valuedmapping from [0,∞)× V intoH. (F) We assume that f (t, x1) − f (t, x2) ≤ L x1 − x2 , (18) for every x 1 , x 2 ∈ V. Let Y be another Hilbert space of control variables and take U = L2(0, T; Y) ...
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ژورنال
عنوان ژورنال: Electronic Journal of Qualitative Theory of Differential Equations
سال: 2013
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2013.1.72