Null Controllability of Linear and Semilinear Nonlocal Heat Equations with an Additive Integral Kernel

DOI10.1137/18M1218431zbMath1420.35137arXiv1711.04690OpenAlexW2969556200MaRDI QIDQ5232249

Umberto Biccari, Víctor Hernández-Santamaría

Publication date: 30 August 2019

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

Full work available at URL: https://arxiv.org/abs/1711.04690

zbMATH Keywords

heat equationnull controllabilitynonlocal termsCarleman inequalitieslinear and semilinear systems

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Observability (93B07) Semilinear parabolic equations (35K58)

Related Items

Quantitative approximation properties for the fractional heat equation, Control of the Cauchy problem on Hilbert spaces: a global approach via symbol criteria, On a general degenerate/singular parabolic equation with a nonlocal space term, Control problems for the Navier-Stokes system with nonlocal spatial terms, Local null controllability for the thermistor problem, Local null-controllability of a nonlocal semilinear heat equation, Controllability to trajectories of a Ladyzhenskaya model for a viscous incompressible fluid, Exact controllability for nonlocal and nonlinear hyperbolic PDEs, Local controllability of the one-dimensional nonlocal Gray-Scott model with moving controls

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