A strongly ill-posed integrodifferential singular parabolic problem in the unit cube of \(\mathbb{R}^n\)

DOI10.3934/eect.2014.3.499zbMath1375.35637OpenAlexW2320021338MaRDI QIDQ478976

Alfredo Lorenzi, Luca Lorenzi

Publication date: 5 December 2014

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2014.3.499

zbMATH Keywords

uniquenessCarleman estimatesill-posed problemscontinuous dependence resultslinear singular differential and integro-differential parabolic equations

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Free boundary problems for PDEs (35R35) Linear differential equations in abstract spaces (34G10) Abstract integral equations, integral equations in abstract spaces (45N05) Inverse problems for integral equations (45Q05)

Related Items (1)

Continuous dependence and uniqueness for lateral Cauchy problems for linear integro-differential parabolic equations

Cites Work

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• Linear integro-differential Schrödinger and plate problems without initial conditions
• Recovering a constant in the two-dimensional Navier-Stokes system with no initial condition
• An introduction to inverse elliptic and parabolic problems
• A STRONGLY ILL-POSED INTEGRO-DIFFERENTIAL PARABOLIC PROBLEM WITH INTEGRAL BOUNDARY CONDITIONS
• Determination of source terms in a degenerate parabolic equation
• A strongly ill-posed problem for a degenerate parabolic equation with unbounded coefficients in an unbounded domain $\Omega \times {\mathcal {O}}$ of ${\mathbb {R}}^{M+N}$
• Unique continuation and continuous dependence results for a severely ill-posed integro-differential parabolic problem

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