Controllability Problems for the Heat Equation with Variable Coefficients on a Half-Axis Controlled by the Neumann Boundary Condition
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Publication:6192177
DOI10.15407/mag19.03.616arXiv2211.03482OpenAlexW4389350727MaRDI QIDQ6192177
Kateryna Khalina, L. V. Fardigola
Publication date: 12 February 2024
Published in: Zurnal matematiceskoj fiziki, analiza, geometrii (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.03482
Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Heat equation (35K05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)
Cites Work
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- On a Neumann boundary control in a parabolic system
- Controllability problems for the heat equation on a half-axis with a bounded control in the Neumann boundary condition
- Transformation operators in controllability problems for the wave equations with variable coefficients on a half-axis controlled by the Dirichlet boundary condition
- Some results on controllability for linear and nonlinear heat equations in unbounded domains
- A fundamental solution for the heat equation which is supported in a strip
- Carleman inequalities for parabolic equations in Sobolev spaces of negative order and exact controllability for semilinear parabolic equations
- Null controllability in unbounded domains for the semilinear heat equation with nonlinearities involving gradient terms
- Controllability properties of degenerate pseudo-parabolic boundary control problems
- The cost of boundary controllability for a parabolic equation with inverse square potential
- Boundary controllability for a one-dimensional heat equation with a singular inverse-square potential
- On the null controllability of the one-dimensional heat equation with BV coefficients
- Null controllability and finite time stabilization for the heat equations with variable coefficients in space in one dimension via backstepping approach
- Exact controllability theorems for linear parabolic equations in one space dimension
- On the lack of null-controllability of the heat equation on the half-line
- Transformation Operators of the Sturm--Liouville Problem in Controllability Problems for the Wave Equation on a Half-Axis
- Transformation Operators and Modified Sobolev Spaces in Controllability Problems on a Half-Axis
- Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
- Approximate controllability of a semilinear heat equation in unbounded domains
- On the Reachable Set for the One-Dimensional Heat Equation
- Numerical null controllability of the heat equation through a least squares and variational approach
- Controllability Problems for the Heat Equation in a Half-Plane Controlled by the Dirichlet Boundary Condition with a Point-Wise Control
- Controllability problems for the heat equation with variable coefficients on a half-axis
- Reachability and Controllability Problems for the Heat Equation on a Half-Axis
- Null controllability of the heat equation in unbounded domains by a finite measure control region
- On the lack of null-controllability of the heat equation on the half space
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