Bounded solutions of second order semilinear evolution equations and applications to the telegraph equation
نویسندگان
چکیده
منابع مشابه
Bounded Solutions of Second Order Semilinear Evolution Equations and Applications to the Telegraph Equation
Motivated by the problem of the existence of a solution of the nonlinear telegraph equation wt + clll u,, + h(t. c, u) = 0, such that u(t, ,) satisfies suitable boundary conditions over (0,~) ar;d Ilu(t,.)II is bounded over W for some function space norm 11 11: we prove the existence of bounded solutions over R of semilinear evolution equations in a Hilbert space of the form ii + cti + Au + g(t...
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ژورنال
عنوان ژورنال: Journal de Mathématiques Pures et Appliquées
سال: 1999
ISSN: 0021-7824
DOI: 10.1016/s0021-7824(99)80009-9