Linear integro-differential Schrödinger and plate problems without initial conditions

DOI10.1007/s00245-013-9192-6zbMath1283.35139OpenAlexW1988302395MaRDI QIDQ360371

Alfredo Lorenzi

Publication date: 26 August 2013

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-013-9192-6

zbMATH Keywords

uniquenessill-posed problemscontinuous dependence resultslinear integro-differential Schrödinger and plate equations

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Plates (74K20) Inverse problems for PDEs (35R30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with mechanics of deformable solids (35Q74) Integro-partial differential equations (35R09)

Related Items (2)

A strongly ill-posed integrodifferential singular parabolic problem in the unit cube of \(\mathbb{R}^n\) ⋮ Recovering a constant in the two-dimensional Navier-Stokes system with no initial condition

Cites Work

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• An introduction to inverse elliptic and parabolic problems
• Lipschitz stability in inverse parabolic problems by the Carleman estimate
• Inverse problems and classes of solutions of evolution equations
• Inverse problems for the Schrödinger equation via Carleman inequalities with degenerate weights
• Global uniqueness in determining electric potentials for a system of strongly coupled Schrödinger equations with magnetic potential terms

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