Backward problems in time for fractional diffusion-wave equation

DOI10.1088/1361-6420/abbc5ezbMath1456.35205arXiv2007.09364OpenAlexW3090140460MaRDI QIDQ5148412

Giuseppe Floridia, Masahiro Yamamoto

Publication date: 4 February 2021

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.09364

zbMATH Keywords

well-posednessbackward problemfractional diffusion-wave equation

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (13)

Backward Diffusion-Wave Problem: Stability, Regularization, and Approximation ⋮ Nonnegative multiplicative controllability for semilinear multidimensional reaction-diffusion equations ⋮ Time-fractional integro-differential equations in power growth function spaces ⋮ Solving the backward problem for time-fractional wave equations by the quasi-reversibility regularization method ⋮ Uniqueness and stability for inverse source problem for fractional diffusion-wave equations ⋮ Identifying a fractional order and a time-dependent coefficient in a time-fractional diffusion wave equation ⋮ A non-stationary iterative Tikhonov regularization method for simultaneous inversion in a time-fractional diffusion equation ⋮ An iterative method based on Nesterov acceleration for identifying space-dependent source term in a time-fractional diffusion-wave equation ⋮ Solution of the backward problem for the space-time fractional diffusion equation related to the release history of a groundwater contaminant ⋮ The backward problem for an inhomogeneous time-fractional diffusion-wave equation in an axis-symmetric cylinder ⋮ On time fractional derivatives in fractional Sobolev spaces and applications to fractional ordinary differential equations ⋮ Landweber iteration method for simultaneous inversion of the source term and initial data in a time-fractional diffusion equation ⋮ The backward problem of stochastic convection-diffusion equation

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