The null controllability for a singular heat equation with variable coefficients

DOI10.1080/00036811.2020.1769076zbMath1485.35275OpenAlexW3026843900MaRDI QIDQ3389519

Shumin Li, Xue Qin

Publication date: 23 March 2022

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

Full work available at URL: https://doi.org/10.1080/00036811.2020.1769076

zbMATH Keywords

observabilitynull controllabilityCarleman estimatesingular heat equation

Mathematics Subject Classification ID

Controllability (93B05) Initial-boundary value problems for second-order parabolic equations (35K20) Existence theories for optimal control problems involving partial differential equations (49J20) Singular parabolic equations (35K67)

Related Items (1)

Local logarithmic stability of an inverse coefficient problem for a singular heat equation with an inverse-square potential

Cites Work

• Null controllability for a heat equation with a singular inverse-square potential involving the distance to the boundary function
• Hardy inequalities and some critical elliptic and parabolic problems
• The Hardy inequality and the asymptotic behaviour of the heat equation with an inverse-square potential
• Null and approximate controllability for weakly blowing up semilinear heat equations
• Mathematical problems from combustion theory
• Bound states of the Dirac equation for a class of effective quadratic plus inversely quadratic potentials
• Carleman estimates for the one-dimensional heat equation with a discontinuous coefficient and applications to controllability and an inverse problem
• Null controllability for the heat equation with singular inverse-square potentials
• Carleman estimates for one-dimensional degenerate heat equations
• Controllability of the Heat Equation with an Inverse-Square Potential Localized on the Boundary
• Lipschitz Stability in Inverse Source Problems for Singular Parabolic Equations
• Linear parabolic equations with strong singular potentials
• The Heat Equation with a Singular Potential
• Null controllability of the heat equation with boundary Fourier conditions: the linear case
• Some Controllability Results forthe N-Dimensional Navier--Stokes and Boussinesq systems with N-1 scalar controls
• Hardy Inequalities, Observability, and Control for the Wave and Schrödinger Equations with Singular Potentials
• Control and Stabilization Properties for a Singular Heat Equation with an Inverse-Square Potential
• Continuation of blowup solutions of nonlinear heat equations in several space dimensions
• Controllability of parabolic equations
• Existence versus explosion instantanée pour des équations de la chaleur linéaires avec potentiel singulier
• The cost of approximate controllability for heat equations: The linear case
• On a degenerate heat equation with a singular potential
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