Stability results for semi-linear parabolic equations backward in time

DOI10.1007/S40306-015-0163-7zbMath1357.35196OpenAlexW2290720401MaRDI QIDQ514061

Nguyen Van Duc, Nguyen Van Thang

Publication date: 8 March 2017

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-015-0163-7

zbMATH Keywords

Tikhonov regularizationill-posed problemsstability estimatelog-convexity methodsemi-linear parabolic equations backward in time

Mathematics Subject Classification ID

Semilinear parabolic equations (35K58)

Related Items (7)

Backward semi-linear parabolic equations with time-dependent coefficients and local Lipschitz source ⋮ Conditional stability in a backward Cahn-Hilliard equation via a Carleman estimate ⋮ Regularization of backward parabolic equations in Banach spaces by generalized Sobolev equations ⋮ Identifying an unknown source term in a heat equation with time-dependent coefficients ⋮ Existence of optimal solution to the problem of finding an initial condition for nonlinear diffusion from integral observations ⋮ Stepwise regularization method for a nonlinear Riesz-Feller space-fractional backward diffusion problem ⋮ Stability results for weak solutions to backward one-dimensional semi-linear parabolic equations with locally Lipschitz source

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An approximate solution for nonlinear backward parabolic equations
• Regularization and error estimate for the nonlinear backward heat problem using a method of integral equation
• Semigroups of linear operators and applications to partial differential equations
• On optimal regularization methods for the backward heat equation
• On a backward nonlinear parabolic equation with time and space dependent thermal conductivity: regularization and error estimates
• Control operators and iterative algorithms in variational data assimilation problems
• Log-log convexity and backward uniqueness
• Regularization of parabolic equations backward in time by a non-local boundary value problem method
• Some backward uniqueness results
• Approximation of a parabolic non-linear evolution equation backwards in time
• Optimality for ill-posed problems under general source conditions
• Note on a regularization of a parabolic nonlinear evolution equation backwards in time
• A non-local boundary value problem method for semi-linear parabolic equations backward in time

This page was built for publication: Stability results for semi-linear parabolic equations backward in time