Control of parabolic equations with inverse square Infinite potential wells

Controllability (93B05) Initial-boundary value problems for second-order parabolic equations (35K20) Observability (93B07) 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
The massive wave equation in asymptotically AdS spacetimes
The cost of controlling weakly degenerate parabolic equations by boundary controls
Carleman estimates and null controllability for boundary-degenerate parabolic operators
Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature
A priori estimates of Carleman's type in domains with boundary
Carleman estimates with sharp weights and boundary observability for wave operators with critically singular potentials
Carleman estimate for ultrahyperbolic operators and improved interior control for wave equations
Boundary controllability for a one-dimensional heat equation with a singular inverse-square potential
Null controllability for the heat equation with singular inverse-square potentials
Null controllability of degenerate heat equations
Carleman estimates for one-dimensional degenerate heat equations
Exact Boundary Controllability of 1-D Parabolic and Hyperbolic Degenerate Equations
Controllability of the Heat Equation with an Inverse-Square Potential Localized on the Boundary
The Heat Equation with a Singular Potential
Control and Stabilization Properties for a Singular Heat Equation with an Inverse-Square Potential
Carleman Estimates for a Class of Degenerate Parabolic Operators
Inverse problems and Carleman estimates
Carleman Inequalities
Existence versus explosion instantanée pour des équations de la chaleur linéaires avec potentiel singulier
On Carleman and observability estimates for wave equations on time‐dependent domains
The cost of controlling strongly degenerate parabolic equations
Carleman Estimates for Second Order Partial Differential Operators and Applications
Boundary Value Control of the Higher-Dimensional Wave Equation
Boundary Value Control Theory of the Higher-Dimensional Wave Equation, Part II

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