Local null controllability of a free-boundary problem for the quasi-linear 1D parabolic equation
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Publication:2235820
DOI10.1016/j.jmaa.2021.125676zbMath1478.93067OpenAlexW3204345872MaRDI QIDQ2235820
Publication date: 22 October 2021
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125676
Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Free boundary problems for PDEs (35R35) Quasilinear parabolic equations (35K59)
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Cites Work
- Unnamed Item
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- Insensitizing controls for a class of quasilinear parabolic equations
- Time optimal control of evolution equations
- Tutorials in mathematical biosciences III. Cell cycle, prolifereation, and cancer.
- On the controllability of a free-boundary problem for the 1D heat equation
- Null and approximate controllability for weakly blowing up semilinear heat equations
- Backstepping output-feedback control of moving boundary parabolic PDEs
- Local null controllability of a free-boundary problem for the viscous Burgers equation
- Local null controllability of one-phase Stefan problems in 2D star-shaped domains
- Local exact controllability of the diffusion equation in one dimension
- The free boundary problem describing information diffusion in online social networks
- PDE problems arising in mathematical biology
- Single-boundary control of the two-phase Stefan system
- Local null controllability of a 1D Stefan problem
- Local null controllability of a free-boundary problem for the semilinear 1D heat equation
- On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials
- Null controllability of a class of Newtonian filtration equations
- A weighted identity for partial differential operators of second order and its applications
- Theoretical and numerical local null controllability of a quasi-linear parabolic equation in dimensions 2 and 3
- A unified controllability/observability theory for some stochastic and deterministic partial differential equations
- Local Controllability of Multidimensional Quasi-Linear Parabolic Equations
- Well-posedness of a moving boundary problem arising in a dissolution-growth process
- Controllability of a Class of Newtonian Filtration Equations with Control and State Constraints
- Remarks on null controllability for semilinear heat equation in moving domains
- Control and State Estimation of the One-Phase Stefan Problem via Backstepping Design
- A Class of Nonlinear Degenerate Integrodifferential Control Systems
- Approximate controllability of the semilinear heat equation
- On the Controllability of Parabolic Systems with a Nonlinear Term Involving the State and the Gradient
- The cost of approximate controllability for heat equations: The linear case
