On the controllability of the heat equation with nonlinear boundary Fourier conditions.
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Publication:1428260
DOI10.1016/j.jde.2003.09.002zbMath1049.35042OpenAlexW2116845233MaRDI QIDQ1428260
Enrique Fernández-Cara, Anna Doubova, Manuel González-Burgos
Publication date: 14 March 2004
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://idus.us.es/xmlui/handle/11441/41484
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Related Items (8)
On Regularization of a Source Identification Problem in a Parabolic PDE and its Finite Dimensional Analysis ⋮ Local null controllability for the thermistor problem ⋮ A global Carleman inequality and exact controllability of parabolic equations with mixed boundary conditions ⋮ Controllability results for the two-dimensional heat equation with mixed boundary conditions using Carleman inequalities: a linear and a semilinear case ⋮ Null controllability of the complex Ginzburg-Landau equation ⋮ Null controllability of the heat equation with boundary Fourier conditions: the linear case ⋮ Exact controllability to the trajectories of the heat equation with Fourier boundary conditions: the semilinear case ⋮ Insensitizing controls for a semilinear heat equation with a superlinear nonlinearity
Cites Work
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- Exact controllability of semilinear abstract systems with application to waves and plates boundary control problems
- Unique continuation for some evolution equations
- Parabolic evolution equations and nonlinear boundary conditions
- Blow up results and localization of blow up points for the heat equation with a nonlinear boundary condition
- The blow-up properties of solutions to semilinear heat equations with nonlinear boundary conditions
- Parabolic problems with nonlinear boundary conditions and critical nonlinearities
- Finite dimensional null controllability for the semilinear heat equation
- Carleman inequalities for parabolic equations in Sobolev spaces of negative order and exact controllability for semilinear parabolic equations
- Null and approximate controllability for weakly blowing up semilinear heat equations
- Regularity properties for the heat equation subject to nonlinear boundary constraints
- Approximate controllability of the semilinear heat equation
- On the Controllability of Parabolic Systems with a Nonlinear Term Involving the State and the Gradient
- Nonlinear balance for reaction-diffusion equations under nonlinear boundary conditions: Dissipativity and blow-up
- The cost of approximate controllability for heat equations: The linear case
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