Inverse problem for nonlinear backward space-fractional diffusion equation

DOI10.1515/JIIP-2015-0065zbMath1370.35153OpenAlexW2523415665MaRDI QIDQ2398387

Hai Dinh Nguyen Duy, Long Le Dinh, Tuan Nguyen Huy, Gia Quoc Thong Le

Publication date: 16 August 2017

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2015-0065

zbMATH Keywords

regularizationerror estimateill-posed problemspace-fractional backward diffusion problem

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Heat equation (35K05) Nonlinear ill-posed problems (47J06) Fractional partial differential equations (35R11)

Related Items (5)

Hölder-logarithmic type approximation for nonlinear backward parabolic equations connected with a pseudo-differential operator ⋮ Conditional stability in a backward Cahn-Hilliard equation via a Carleman estimate ⋮ Filter regularization method for a nonlinear Riesz-Feller space-fractional backward diffusion problem with temporally dependent thermal conductivity ⋮ The backward problem for a nonlinear Riesz-Feller diffusion equation ⋮ Stepwise regularization method for a nonlinear Riesz-Feller space-fractional backward diffusion problem

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