On the identification of a nonlinear term in a reaction-diffusion equation

• Published in: Inverse problems Vol. 35; no. 11; pp. 115007 - 115044
• Main Authors: Kaltenbacher, Barbara, Rundell, William
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.11.2019
• Subjects: fractional diffusion; parameter identification; reaction-diffusion equation; regularization

Reaction-diffusion equations are one of the most common partial differential equations used to model physical phenomena. They arise as the combination of two physical processes: a driving force that depends on the state variable u and a diffusive mechanism that spreads this effect over a spatial dom...