Regularization and error estimate for an initial inverse nonlocal diffusion problem
From MaRDI portal
Publication:2192509
DOI10.1016/j.camwa.2020.01.029zbMath1445.35336OpenAlexW3008964406MaRDI QIDQ2192509
Nguyen Huy Tuan, Phan Thi Khanh Van, Bui Le Trong Thanh, Mukhtar Bin Muhammad Kirane
Publication date: 17 August 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2020.01.029
Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Nonlinear ill-posed problems (47J06) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Parabolic reaction-diffusion systems with nonlocal coupled diffusivity terms
- A nonlinear parabolic equation backward in time: regularization with new error estimates
- On the asymptotic behaviour of some nonlocal problems
- On a class of problems involving a nonlocal operator.
- A stability estimate on the regularized solution of the backward heat equation.
- Stability estimates for a class of semi-linear ill-posed problems
- Long-time behavior of a non-autonomous parabolic equation with nonlocal diffusion and sublinear terms
- A reaction–diffusion model for the non-local coupled system: existence, uniqueness, long-time behaviour and localization properties of solutions
- Stability results for backward parabolic equations with time-dependent coefficients
- Asymptotic behaviour of some nonlocal diffusion problems
- Regularization of parabolic equations backward in time by a non-local boundary value problem method
- A Carleman estimate and the balancing principle in the quasi-reversibility method for solving the Cauchy problem for the Laplace equation
- Some remarks on non local elliptic and parabolic problems
- A duality-based method of quasi-reversibility to solve the Cauchy problem in the presence of noisy data
- Identification of the population density of a species model with nonlocal diffusion and nonlinear reaction
- A mixed formulation of quasi-reversibility to solve the Cauchy problem for Laplace's equation
This page was built for publication: Regularization and error estimate for an initial inverse nonlocal diffusion problem