Null controllability for the dissipative semilinear heat equation

DOI10.1007/s00245-002-0746-2zbMath1031.93018OpenAlexW2259168425MaRDI QIDQ1401580

Daniel Tataru, Sebastian Aniţa

Publication date: 18 August 2003

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-002-0746-2

zbMATH Keywords

Heat equationNonlinear parabolic equationNull controllability

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Heat equation (35K05)

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GLOBAL CARLEMAN ESTIMATES FOR DEGENERATE PARABOLIC OPERATORS WITH APPLICATIONS ⋮ Construction of a control for the cubic semilinear heat equation ⋮ Null controllability of the Burgers system with distributed controls ⋮ Cost of observability inequalities for elliptic equations in 2-d with potentials and applications to control theory ⋮ Null controllability of viscous Hamilton-Jacobi equations ⋮ Controllability and identifiability of multi-delay dynamic systems ⋮ Controllability under positivity constraints of semilinear heat equations ⋮ Regional controllability of semilinear degenerate parabolic equations in bounded domains ⋮ Remarks on the Controllability of Some Parabolic Equations and Systems ⋮ Global null-controllability and nonnegative-controllability of slightly superlinear heat equations ⋮ Bang-bang property for time optimal control of semilinear heat equation ⋮ Remarks on the null controllability of the Burgers equation ⋮ The turnpike property in semilinear control

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