Lipschitz stability for the growth rate coefficients in a nonlinear Fisher-KPP equation
DOI10.3934/dcdss.2020362zbMath1466.92154OpenAlexW3025580327WikidataQ110625974 ScholiaQ110625974MaRDI QIDQ1995439
Patrick Martinez, Judith Vancostenoble
Publication date: 23 February 2021
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2020362
inverse problemnonlinear equationCarleman estimatesreaction-diffusion modelparabolic partial differential equationbiological invasion model
Nonlinear parabolic equations (35K55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Inverse problems for PDEs (35R30) Ecology (92D40)
Cites Work
- Unnamed Item
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- Improved Hardy-Poincaré inequalities and sharp Carleman estimates for degenerate/singular parabolic problems
- Spreading speeds in slowly oscillating environments
- Determination of the insolation function in the nonlinear Sellers climate model
- Biological invasions: Deriving the regions at risk from partial measurements
- Functional analysis, Sobolev spaces and partial differential equations
- Stability of Lipschitz type in determination of initial heat distribution
- Carleman estimates for coefficient inverse problems and numerical applications.
- Uniqueness from pointwise observations in a multi-parameter inverse problem
- Carleman estimates for the one-dimensional heat equation with a discontinuous coefficient and applications to controllability and an inverse problem
- Species persistence decreases with habitat fragmentation: an analysis in periodic stochastic environments
- Analysis of the periodically fragmented environment model. I: Species persistence
- Conditional stability and numerical reconstruction of initial temperature
- Determination of source terms in a degenerate parabolic equation
- Lipschitz Stability in Inverse Source Problems for Singular Parabolic Equations
- A viscosity solution method for the spreading speed formula in slowly varying media
- Inverse problems for a 2 × 2 reaction–diffusion system using a Carleman estimate with one observation
- GLOBAL CARLEMAN ESTIMATES FOR DEGENERATE PARABOLIC OPERATORS WITH APPLICATIONS
- Stability of Discontinuous Diffusion Coefficients and Initial Conditions in an Inverse Problem for the Heat Equation
- On the determination of the nonlinearity from localized measurements in a reaction–diffusion equation
- Inverse problems and Carleman estimates
- Lipschitz stability in inverse parabolic problems by the Carleman estimate
- Spatial Ecology via Reaction‐Diffusion Equations
- Uniqueness and stability in an inverse problem for the Schr dinger equation
- Inverse coefficient problems for a transport equation by local Carleman estimate
- On Population Resilience to External Perturbations
- Stable estimation of two coefficients in a nonlinear Fisher–KPP equation
- Inverse problems for partial differential equations
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