Analytic properties of heat equation solutions and reachable sets
From MaRDI portal
Publication:2163303
DOI10.1007/s00209-022-03058-9zbMath1495.35093arXiv2006.05762OpenAlexW3035039232MaRDI QIDQ2163303
Alden Waters, Alexander Strohmaier
Publication date: 10 August 2022
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.05762
Smoothness and regularity of solutions to PDEs (35B65) Heat equation (35K05) Continuation and prolongation of solutions to PDEs (35B60)
Related Items
Reachable Space of the Hermite Heat Equation with Boundary Control ⋮ Reachability results for perturbed heat equations
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Observability inequalities and measurable sets
- Explicit lower bounds for the cost of fast controls for some 1-D parabolic or dispersive equations, and a new lower bound concerning the uniform controllability of the 1-D transport-diffusion equation
- The cost of the control in the case of a minimal time of control: the example of the one-dimensional heat equation
- Optimal distribution of the internal null control for the one-dimensional heat equation
- Sharp observability estimates for heat equations
- Boundary integral operators for the heat equation
- Complex zeros of real ergodic eigenfunctions
- Partial differential equations. 4th ed
- Finite dimensional null controllability for the semilinear heat equation
- The analysis of linear partial differential operators. I: Distribution theory and Fourier analysis.
- Spectral properties of parabolic layer potentials and transmission boundary problems in nonsmooth domains
- Boundary value problems and Hardy spaces associated to the Helmholtz equation in Lipschitz domains
- Separation of singularities for the Bergman space and application to control theory
- Reachable states for the distributed control of the heat equation
- The weighted Bergman space on a sector and a degenerate parabolic equation
- From the reachable space of the heat equation to Hilbert spaces of holomorphic functions
- Reachable states and holomorphic function spaces for the 1-D heat equation
- The complex-time Segal-Bargmann transform
- Null controllability of the heat equation using flatness
- Null controllability and finite time stabilization for the heat equations with variable coefficients in space in one dimension via backstepping approach
- On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials
- Exact controllability theorems for linear parabolic equations in one space dimension
- Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds
- Null Controllability of One-dimensional Parabolic Equations by the Flatness Approach
- A Deterministic Optimal Design Problem for the Heat Equation
- Quintic NLS in the exterior of a strictly convex obstacle
- A Note on Boundary Value Problems for the Heat Equation in Lipschitz Cylinders
- The Method of Layer Potentials for the Heat Equation in Lipschitz Cylinders
- Boundary Integral Operators on Lipschitz Domains: Elementary Results
- Contróle Exact De Léquation De La Chaleur
- On the Reachable Set for the One-Dimensional Heat Equation
- On the Reachable States for the Boundary Control of the Heat Equation
- On the limit Sobolev regularity for Dirichlet and Neumann problems on Lipschitz domains
- Pluri-potential theory on Grauert tubes of real analytic Riemannian manifolds, I
- Park City lectures on Eigenfunctions
- The cost of approximate controllability for heat equations: The linear case