Approximate controllability for the semilinear heat equation involving gradient terms

DOI10.1023/A:1021737526541zbMath0952.49003MaRDI QIDQ1291818

Enrique Zuazua, Luis Alberto Fernandez

Publication date: 7 September 2000

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

optimal controlapproximate controllabilitysemilinear heat equationexact finite-dimensional controllability

Mathematics Subject Classification ID

Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (14)

Finite approximate controllability for semilinear heat equations in noncylindrical domains ⋮ Lagrangian Controllability of the 1-Dimensional Korteweg--de Vries Equation ⋮ Approximate controllability results of semilinear integrodifferential equations with infinite delays ⋮ From averaged to simultaneous controllability ⋮ Observability and control of parabolic equations on networks with loops ⋮ Approximate boundary controllability for semilinear delay differential equations ⋮ Robust Stackelberg controllability for linear and semilinear heat equations ⋮ Approximate controllability for linearized compressible barotropic Navier-Stokes system in one and two dimensions ⋮ Controllability properties for some semilinear parabolic PDE with a quadratic gradient term ⋮ Controllability for semilinear heat equation with globally Lipschitz nonlinearities and memory term ⋮ Null Controllability of Linear and Semilinear Nonlocal Heat Equations with an Additive Integral Kernel ⋮ Approximate controllability of the semilinear reaction-diffusion equation governed by a multiplicative control ⋮ Approximate controllability for integrodifferential equations with multiple delays ⋮ Exact controllability to the trajectories of the heat equation with Fourier boundary conditions: the semilinear case

Cites Work

• Unnamed Item
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• Problèmes aux limites non homogènes. II, III
• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• Unique continuation for some evolution equations
• On approximate controllability of the Stokes system
• Finite dimensional null controllability for the semilinear heat equation
• Uniqueness results for Stokes equations and their consequences in linear and nonlinear control problems
• Modern Multiplier Rules
• Approximate controllability of the semilinear heat equation

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