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.

引用

页数：27

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