On the Controllability of a Free-Boundary Problem for 1D Heat Equation with Local and Nonlocal Nonlinearities

被引：1
|
作者：
Costa, V [1 ]
Limaco, J. [2 ]
Lopes, A. R. [1 ]
Prouvee, L. [1 ]
机构：
[1] Univ Estado Rio de Janeiro, Inst Matemat & Estat, Campus Maracana, BR-20550900 Rio De Janeiro, RJ, Brazil
[2] Univ Fed Fluminense, Inst Matemat & Estat, Campus Gragoata, BR-24210200 Niteroi, RJ, Brazil
来源：
APPLIED MATHEMATICS AND OPTIMIZATION | 2023年 / 87卷 / 01期
关键词：
Free-boundary problems; 1D nonlinear heat equation; Carleman estimates; DEGENERATE PARABOLIC OPERATORS; NULL CONTROLLABILITY; APPROXIMATE CONTROLLABILITY; BEHAVIOR; SYSTEMS;
D O I：
10.1007/s00245-022-09916-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the analysis of the internal control of a free-boundary problem for the 1D heat equation with local and nonlocal nonlinearities. We prove a local null controllability result with distributed controls, locally suported in space. The proof is based on Schauder's fixed point theorem combined with some appropriate specific estimates.
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页数：27
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