Regularization of backward parabolic equations in Banach spaces

DOI10.1515/jip-2012-0046zbMath1279.35105OpenAlexW2328836772MaRDI QIDQ5745524

Dinh Nho Hào, Nguyen Van Duc

Publication date: 30 January 2014

Published in: jiip (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jip-2012-0046

zbMATH Keywords

Tikhonov regularizationill-posed problemsbackward parabolic equationsnon-local boundary value problems

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30)

Related Items (11)

Stability results for backward heat equations with time-dependent coefficient in the Banach space \(L_p (\mathbb{R})\) ⋮ Two-parameter regularization method for a nonlinear backward heat problem with a conformable derivative ⋮ Stabilizing the nonlinear spherically symmetric backward heat equation via two-parameter regularization method ⋮ Regularization of backward parabolic equations in Banach spaces by generalized Sobolev equations ⋮ Regularization and error estimates for an inverse heat problem under the conformable derivative ⋮ On the axisymmetric backward heat equation with non-zero right hand side: regularization and error estimates ⋮ Two-parameter regularization method for an axisymmetric inverse heat problem ⋮ Quasi-boundary value methods for regularizing the backward parabolic equation under the optimal control framework ⋮ Stability results for backward time-fractional parabolic equations ⋮ A non-local boundary value problem method for semi-linear parabolic equations backward in time ⋮ Fast parallel-in-time quasi-boundary value methods for backward heat conduction problems

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