Local logarithmic stability of an inverse coefficient problem for a singular heat equation with an inverse-square potential
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Publication:6099986
DOI10.1080/00036811.2021.2011246zbMath1518.35684OpenAlexW4200119361MaRDI QIDQ6099986
Publication date: 21 June 2023
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2021.2011246
Controllability (93B05) Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Existence theories for optimal control problems involving partial differential equations (49J20) Singular parabolic equations (35K67)
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
- Determining the waveguide conductivity in a hyperbolic equation from a single measurement on the lateral boundary
- A Carleman estimate for the linear shallow shell equation and an inverse source problem
- A class of inverse problems for nonlinear parabolic equations
- The Hardy inequality and the asymptotic behaviour of the heat equation with an inverse-square potential
- An inverse problem for Maxwell's equations in a uniaxially anisotropic medium
- Mathematical problems from combustion theory
- Bound states of the Dirac equation for a class of effective quadratic plus inversely quadratic potentials
- Carleman estimates for coefficient inverse problems and numerical applications.
- Inverse problems and Carleman estimates. Global uniqueness, global convergence and experimental data
- A stability estimate for an inverse problem of determining a coefficient in a hyperbolic equation with a point source
- Null controllability for the heat equation with singular inverse-square potentials
- Logarithmic stability in determination of a coefficient in an acoustic equation by arbitrary boundary observation
- An inverse problem for Maxwell's equations in anisotropic media
- Global Lipschitz stability in an inverse hyperbolic problem by interior observations
- Carleman estimates for global uniqueness, stability and numerical methods for coefficient inverse problems
- 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
- The null controllability for a singular heat equation with variable coefficients
- Estimation of coefficients in a hyperbolic equation with impulsive inputs
- Carleman estimates for second-order hyperbolic systems in anisotropic cases and applications. Part II: an inverse source problem
- An Inverse Problem for a Nonlinear Parabolic Equation with Applications in Population Dynamics and Magnetics
- Control and Stabilization Properties for a Singular Heat Equation with an Inverse-Square Potential
- Carleman estimates for parabolic equations and applications
- Inverse problems and Carleman estimates
- Continuation of blowup solutions of nonlinear heat equations in several space dimensions
- An inverse problem for the dynamical Lamé system with two sets of boundary data
- Lipschitz stability for an inverse hyperbolic problem of determining two coefficients by a finite number of observations
- Determining the conductivity for a nonautonomous hyperbolic operator in a cylindrical domain
- Uniqueness and stability in an inverse problem for the Schr dinger equation
- Determination of a coefficient in an acoustic equation with a single measurement
- Existence versus explosion instantanée pour des équations de la chaleur linéaires avec potentiel singulier
- Convexification for an inverse parabolic problem
- Stability for inverse source problems by Carleman estimates
- Lipschitz stability in the determination of the principal part of a parabolic equation
- Lipschitz stability of an inverse problem for an acoustic equation
- On a global estimate in a linear inverse hyperbolic problem
- An inverse source problem for Maxwell's equations in anisotropic media
- On a degenerate heat equation with a singular potential
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