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 タイトル: On some differential inclusions and their applications 著者: Lukaszewicz, Grzegorz 発行日: 1994年 出版者: Graduate School of Mathematical Sciences, The University of Tokyo 掲載誌情報: Journal of Mathematical Sciences, The University of Tokyo. Vol. 1 (1994), No. 2, Page 369-391 抄録: The existence of a solution of the evolution inclusion % $$u'+ \partial φ(t,u) + g(t,u)-F(u) \ni 0 \ \ \text{on}\ \ (0,T), u(0)=ξ$$ % is established. For each t in [0,T], $φ$ (t, $\cdot$) is a proper l.s.c. convex function from H to [0, $\infty$] \; and $F$ is an upper hemicontinuous set-valued mapping of $L^2(0,T;H)$ into its closed convex subsets. The time periodic problem % $$u'+ \partial φ(t,u)-F(u) \ni 0 \ \ \text{on}\ \ (0,T), \ \ u(0)=u(T)$$ % is studied. Applications to the heat equation with mixed boundary conditions and to the coupled Navier Stokes and heat equations with convection, dissipation and control terms in non-cylindrical domains are given. URI: http://hdl.handle.net/2261/1581 ISSN: 13405705 出現カテゴリ: Journal of Mathematical Sciences, the University of TokyoJournal of Mathematical Sciences, the University of Tokyo

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