Carleman estimate for solutions to a degenerate convection-diffusion equation

DOI10.3934/dcdsb.2018133zbMath1405.93042OpenAlexW2797607387WikidataQ129201794 ScholiaQ129201794MaRDI QIDQ1756877

Qiang Liu, Runmei Du, Yanan Zhou, Chunpeng Wang

Publication date: 27 December 2018

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2018133

zbMATH Keywords

convectionnull controllabilitydegeneracyCarleman estimate

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Degenerate parabolic equations (35K65)

Related Items (10)

Null controllability for a class of stochastic singular parabolic equations with the convection term ⋮ Asymptotic Behavior of Solutions to a Class of Semilinear Parabolic Equations with Boundary Degeneracy ⋮ The cost of null controllability for a backward stochastic degenerate parabolic equation in the vanishing viscosity limit ⋮ Null controllability and numerical simulations for a class of degenerate parabolic equations with nonlocal nonlinearities ⋮ Hierarchical control for the semilinear parabolic equations with interior degeneracy ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Null controllability for a class of degenerate parabolic equations with the gradient terms ⋮ Asymptotic behavior of solutions to coupled semilinear parabolic equations with general degenerate diffusion coefficients ⋮ Boundary null controllability of degenerate heat equation as the limit of internal controllability

Cites Work

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• Null controllability for a heat equation with a singular inverse-square potential involving the distance to the boundary function
• Approximate controllability of a class of semilinear systems with boundary degeneracy
• Carleman estimates for singular parabolic equations with interior degeneracy and non-smooth coefficients
• Some results on controllability of a nonlinear degenerate parabolic system by bilinear control
• Null controllability of degenerate parabolic operators with drift
• Carleman estimates for degenerate parabolic equations with first order terms and applications
• Controllability results for a class of one-dimensional degenerate parabolic problems in nondivergence form
• Null and approximate controllability for weakly blowing up semilinear heat equations
• Persistent regional null controllability for a class of degenerate parabolic equations
• Approximate controllability of a class of semilinear degenerate systems with convection term
• Evolutionary weighted \(p\)-Laplacian with boundary degeneracy
• Null controllability of some nonlinear degenerate 1D parabolic equations
• Regional controllability of semilinear degenerate parabolic equations in bounded domains
• Null controllability of degenerate heat equations
• Carleman estimates for degenerate parabolic operators with applications to null controllability
• Carleman estimates for one-dimensional degenerate heat equations
• Approximate controllability of a class of degenerate systems
• Carleman Estimates and Null Controllability for a Class of Degenerate Parabolic Equations with Convection Terms
• Controllability of a Class of Newtonian Filtration Equations with Control and State Constraints
• Carleman Estimates for a Class of Degenerate Parabolic Operators
• Regional Null Controllability of a Linearized Crocco-Type Equation
• Carleman Estimates, Observability Inequalities and Null Controllability for Interior Degenerate Non Smooth Parabolic Equations
• The cost of approximate controllability for heat equations: The linear case

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