Semilinear parabolic equations with prescribed energy
نویسندگان
چکیده
منابع مشابه
Semilinear Parabolic Equations with Prescribed Energy
In this paper we study the following reaction-di usion equation ut = u+ f(u; k(t)) subject to appropriate initial and boundary conditions, where f(u; k(t)) = u k(t) or k(t)u with p > 1 and k(t) is an unknown function. An additional energy type condition is imposed in order to nd the solution u(x; t) and k(t). This type of problem is frequently encountered in nuclear reaction process, where the ...
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This paper is concerned with an optimal control problem governed by a semilinear, nonsmooth operator differential equation. The nonlinearity is locally Lipschitz-continuous and directionally differentiable, but not Gâteaux-differentiable. Two types of necessary optimality conditions are derived, the first one by means of regularization, the second one by using the directional differentiability ...
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ژورنال
عنوان ژورنال: Rendiconti del Circolo Matematico di Palermo
سال: 1995
ISSN: 0009-725X,1973-4409
DOI: 10.1007/bf02844682