Approximate controllability from the exterior for a nonlocal Sobolev-Galpern type equation

DOI10.1134/S0001434621090315zbMath1478.35229OpenAlexW3211285507MaRDI QIDQ2666634

Sebastián Zamorano

Publication date: 23 November 2021

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434621090315

zbMATH Keywords

approximate controllabilityunique continuation propertyfractional Laplace operatorSobolev-Galpern type equationBarenblatt-Zheltov-Kochina equationexterior control problem

Mathematics Subject Classification ID

Controllability (93B05) Initial-boundary value problems for second-order parabolic equations (35K20) Continuation and prolongation of solutions to PDEs (35B60) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Fractional partial differential equations (35R11)

Cites Work

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• The fractional Neumann and Robin type boundary conditions for the regional fractional \(p\)-Laplacian
• Bounded solutions for nonlocal boundary value problems on Lipschitz manifolds with boundary
• Hitchhiker's guide to the fractional Sobolev spaces
• Fractional Laplacians on domains, a development of Hörmander's theory of \(\mu\)-transmission pseudodifferential operators
• On some degenerate non-local parabolic equation associated with the fractional \(p\)-Laplacian
• Local elliptic regularity for the Dirichlet fractional Laplacian
• Nonlocal problems with Neumann boundary conditions
• Variational problems with free boundaries for the fractional Laplacian
• Censored stable processes
• Boundary controllability of a pseudoparabolic equation
• The fractional relative capacity and the fractional Laplacian with Neumann and Robin boundary conditions on open sets
• On the controllability of some equations of Sobolev-Galpern type
• The Calderón problem for the fractional Schrödinger equation
• Addendum to: ``Local elliptic regularity for the Dirichlet fractional Laplacian
• The Dirichlet problem for the fractional Laplacian: regularity up to the boundary
• The extremal solution for the fractional Laplacian
• Certain non-steady flows of second-order fluids
• Partial differential equations of Sobolev-Galpern type
• From the long jump random walk to the fractional Laplacian
• Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
• Nonlocal transmission problems with fractional diffusion and boundary conditions on non-smooth interfaces
• Null controllability from the exterior of a one-dimensional nonlocal heat equation
• Approximate Controllability from the Exterior of Space-Time Fractional Diffusive Equations
• Pseudoparabolic Partial Differential Equations
• Model equations for long waves in nonlinear dispersive systems