Stable estimation of two coefficients in a nonlinear Fisher–KPP equation

DOI10.1088/0266-5611/29/9/095007zbMath1285.65062OpenAlexW2056352877WikidataQ56481141 ScholiaQ56481141MaRDI QIDQ5746380

Lionel Roques, Michel Cristofol

Publication date: 18 February 2014

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/29/9/095007

zbMATH Keywords

nonlinear parabolic equationinverse problempopulation dynamicsreaction-diffusion equationCarleman inequalityFisher-KPP equationparabolic maximum principleFisher-Kolmogorov-Petrovsky-Piskunov typestabily

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Inverse problems for PDEs (35R30) Maximum principles in context of PDEs (35B50) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (6)

Simultaneous determination of the drift and diffusion coefficients in stochastic differential equations ⋮ Simultaneous Determination of Two Coefficients in Itô Diffusion Processes: Theoretical and Numerical Approaches ⋮ Lipschitz stability for the growth rate coefficients in a nonlinear Fisher-KPP equation ⋮ A stability result for the diffusion coefficient of the heat operator defined on an unbounded guide ⋮ Identification of space distributed coefficients in an indirectly transmitted diseases model ⋮ Stability estimates for some parameters of a reaction-diffusion equation coupled with an ODE

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