Inverse problem for a nonlinear parabolic equation with nonsmooth periodic coefficients

DOI10.1007/s40324-014-0024-7zbMath1319.35299OpenAlexW2033050469MaRDI QIDQ489981

Isma Kaddouri, Djamel-Eddine Teniou

Publication date: 21 January 2015

Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40324-014-0024-7

zbMATH Keywords

stabilitymaximum principleinverse problemCarleman inequalityparabolic operatornonlinear problemnonsmooth coefficients

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Inverse problems for PDEs (35R30)

Related Items

Stable determination of coefficients in semilinear parabolic system with dynamic boundary conditions, Inverse problem for a parabolic equation with periodic and nonsmooth coefficients

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An inverse problem involving two coefficients in a nonlinear reaction-diffusion equation
• Biological invasions: Deriving the regions at risk from partial measurements
• Uniqueness/nonuniqueness for nonnegative solutions of second-order parabolic equations of the form \(u_{t}=Lu+Vu-\gamma u^{p}\) in \(\mathbb R^{n}\).
• Mathematical biology. Vol. 1: An introduction.
• Analysis of the periodically fragmented environment model. I: Species persistence
• Carleman estimates for parabolic equations and applications
• Lipschitz stability in inverse parabolic problems by the Carleman estimate
• Inverse problem for a parabolic equation with space-periodic boundary conditions by a Carleman estimate
• RANDOM DISPERSAL IN THEORETICAL POPULATIONS