Controllability results for the two-dimensional heat equation with mixed boundary conditions using Carleman inequalities: a linear and a semilinear case

DOI10.1080/00036811.2017.1371298zbMath1401.35199OpenAlexW2766012336WikidataQ58279074 ScholiaQ58279074MaRDI QIDQ4689866

Tarik Ali-Ziane, Hadjer Ouzzane, Ouahiba Zair

Publication date: 22 October 2018

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2017.1371298

zbMATH Keywords

controllabilitysingularitiesmixed boundary conditionssemilinear parabolic equationsCarleman inequalities

Mathematics Subject Classification ID

Controllability (93B05) Semilinear parabolic equations (35K58)

Related Items (1)

A new Carleman inequality for a heat equation in presence of singularities and controllability consequences

Cites Work

• Carleman inequalities for the heat equation in singular domains
• Parabolic evolution equations and nonlinear boundary conditions
• Parabolic problems with nonlinear boundary conditions and critical nonlinearities
• Finite dimensional null controllability for the semilinear heat equation
• On the controllability of the heat equation with nonlinear boundary Fourier conditions.
• Null and approximate controllability for weakly blowing up semilinear heat equations
• Contrôlabilité exacte des solutions de l'équation des ondes en présence de singularités. (Exact controllability of solutions to the wave equation under presence of singularities)
• A Carleman estimate for the two dimensional heat equation with mixed boundary conditions
• A stability estimate for ill-posed elliptic Cauchy problems in a domain with corners
• 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
• Logarithmic Decay of Hyperbolic Equations with Arbitrary Small Boundary Damping
• Exact controllability to trajectories for semilinear heat equations with discontinuous diffusion coefficients
• Approximate controllability of the semilinear heat equation
• Null controllability of nonlinear convective heat equations
• A Unified Boundary Controllability Theory for Hyperbolic and Parabolic Partial Differential Equations
• Global Carleman Inequalities for Parabolic Systems and Applications to Controllability
• Carleman estimates for the Zaremba Boundary Condition and Stabilization of Waves
• The cost of approximate controllability for heat equations: The linear case
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Controllability results for the two-dimensional heat equation with mixed boundary conditions using Carleman inequalities: a linear and a semilinear case