Finite approximate controllability for semilinear heat equations in noncylindrical domains

Anais da Academia Brasileira de Ciências

Silvano B. De Menezes¹  Juan Limaco²  Luis A. Medeiros² 

[1] ,Universidade Federal do Pará Departamento de Matemática Belém PA ,Brasil

关键词: heat operator;    finite approximate controllability;    Leray-Schauder fixed point;    non-cylindrical;    transferência de calor;    controlabilidade aproximada finita;    ponto fixo de Leray-Schauder;    não cilíndrico;   

DOI  :  10.1590/S0001-37652004000300002

来源: SciELO

【 摘 要 】

We investigate finite approximate controllability for semilinear heat equation in noncylindrical domains. First we study the linearized problem and then by an application of the fixed point result of Leray-Schauder we obtain the finite approximate controllability for the semilinear state equation.

【 授权许可】

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