Carleman estimate and null controllability of a fourth order parabolic equation in dimension \(N\geq 2\)
From MaRDI portal
Publication:1633075
DOI10.1016/j.matpur.2018.04.004zbMath1405.35073OpenAlexW2802338388MaRDI QIDQ1633075
Publication date: 19 December 2018
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matpur.2018.04.004
Controllability (93B05) Initial-boundary value problems for higher-order parabolic equations (35K35) Observability (93B07)
Related Items
Carleman estimates and controllability for a semi-discrete fourth-order parabolic equation, Null Controllability for Fourth Order Stochastic Parabolic Equations, Conditional stability in a backward Cahn-Hilliard equation via a Carleman estimate, Carleman estimates for the structurally damped plate equations with Robin boundary conditions and applications, Unique continuation for a fourth-order stochastic parabolic equation, The null boundary controllability for a fourth-order parabolic equation with Samarskii-Lonkin-type boundary conditions, Controllability of a simplified time-discrete stabilized Kuramoto-Sivashinsky system, Uniform null controllability of a fourth-order parabolic equation with a transport term, Carleman estimate for an adjoint of a damped beam equation and an application to null controllability, Inverse problems for a half-order time-fractional diffusion equation in arbitrary dimension by Carleman estimates, Global Carleman estimate and its applications for a sixth-order equation related to thin solid films, Boundary controllability of a cascade system coupling fourth- and second-order parabolic equations, Controllability results for stochastic coupled systems of fourth- and second-order parabolic equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Local controllability of the stabilized Kuramoto-Sivashinsky system by a single control acting on the heat equation
- On the cost of null controllability of a fourth-order parabolic equation
- Local exact controllability to the trajectories of the 1-D Kuramoto-Sivashinsky equation
- Null controllability for a fourth order parabolic equation
- Existence and uniqueness of weak solutions for a fourth-order nonlinear parabolic equation
- Higher order nonlinear degenerate parabolic equations
- Existence and asymptotic behavior of solutions to a nonlinear parabolic equation of fourth order
- A fourth-order parabolic equation modeling epitaxial thin film growth
- Null and approximate controllability for weakly blowing up semilinear heat equations
- Null boundary controllability for a fourth order parabolic equation
- Nonnegative solutions of a fourth-order nonlinear degenerate parabolic equation
- Degenerate parabolic differential equations of fourth order and a plasticity model with nonlocal hardening
- Controls insensitizing the norm of the solution of a semilinear heat equation
- Observability estimate and null controllability for one-dimensional fourth order parabolic equation
- Study of weak solutions for a fourth-order parabolic equation with variable exponent of nonlinearity
- Null boundary controllability for a fourth order semilinear equation
- A general fourth-order parabolic equation
- Contróle Exact De Léquation De La Chaleur
- On a Fourth-Order Degenerate Parabolic Equation: Global Entropy Estimates, Existence, and Qualitative Behavior of Solutions
- On the Controllability of Parabolic Systems with a Nonlinear Term Involving the State and the Gradient
- Thin film epitaxy with or without slope selection
- On the Cahn–Hilliard Equation with Degenerate Mobility
- Insensitizing controls for a semilinear heat equation
- Insensitizing controls for the Cahn-Hilliard type equation