Local Controllability of Multidimensional Quasi-Linear Parabolic Equations

DOI10.1137/110851808zbMath1252.93026OpenAlexW2037252353MaRDI QIDQ3143249

Zhang, X., Xu Liu

Publication date: 29 November 2012

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/110851808

zbMATH Keywords

quasi-linear parabolic equationslocal controllabilitycost estimate

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Quasilinear parabolic equations (35K59)

Related Items (13)

Controllability under positive constraints for quasilinear parabolic PDEs ⋮ Stackelberg-Nash controllability for \(N\)-dimensional nonlinear parabolic partial differential equations ⋮ Local null-controllability for some quasi-linear phase-field systems with Neumann boundary conditions by one control force ⋮ Local null controllability of a class of non-Newtonian incompressible viscous fluids ⋮ Controllability properties of degenerate pseudo-parabolic boundary control problems ⋮ Local null controllability of a quasi-linear system and related numerical experiments ⋮ Hierarchical controllability for a nonlinear parabolic equation in one dimension ⋮ Null controllability of some degenerate wave equations ⋮ Local null controllability of a free-boundary problem for the quasi-linear 1D parabolic equation ⋮ Exact controllability to the trajectories for parabolic PDEs with nonlocal nonlinearities ⋮ Global controllability for quasilinear nonnegative definite system of ODEs and SDEs ⋮ On the local controllability of a class of multidimensional quasilinear parabolic equations ⋮ On the controllability of a free-boundary problem for 1D heat equation with local and nonlocal nonlinearities

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