Generalized quasi-reversibility method for a backward heat equation with a fractional Laplacian

DOI10.1515/anly-2014-1262zbMath1432.35225OpenAlexW1984751255MaRDI QIDQ2260506

Hajime Koba, Hideki Matsuoka

Publication date: 11 March 2015

Published in: Analysis (München) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anly-2014-1262

zbMATH Keywords

fractional Laplacianbackward heat equationquasi-reversibility methodfractional diffusion

Mathematics Subject Classification ID

Heat equation (35K05) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Fractional partial differential equations (35R11) Strong solutions to PDEs (35D35)

Related Items (7)

On a nonlinear parabolic equation with fractional Laplacian and integral conditions ⋮ Regularizing a final value problem for nonlinear modified Helmholtz equation with randomly perturbed data ⋮ The quasi-reversibility regularization method for backward problem of the multi-term time-space fractional diffusion equation ⋮ Approximate Solutions of Inverse Problems for Nonlinear Space Fractional Diffusion Equations with Randomly Perturbed Data ⋮ The fractional Landweber method for identifying the space source term problem for time-space fractional diffusion equation ⋮ Unnamed Item ⋮ The regularized solution approximation of forward/backward problems for a fractional pseudo-parabolic equation with random noise

This page was built for publication: Generalized quasi-reversibility method for a backward heat equation with a fractional Laplacian