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2014•Centre International de Rencontres MathématiquesOpen access

Uniqueness of coefficients by strong maximum principle

Lionel Roques

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Abstract

In this talk, I will present a method introduced in 2010 by Cristofol and Roques to obtain uniqueness results in inverse problems of determining non-constant coefficients of nonlinear parabolic equations. This method is mainly based on the Hopf's lemma and on the parabolic maximum principle. It can be applied to several types of 1D reaction-diffusion equations and systems, such as the Fisher-KPP equation and Lotka-Volterra competition systems.

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What this paper is about

In this talk, I will present a method introduced in 2010 by Cristofol and Roques to obtain uniqueness results in inverse problems of determining non-constant coefficients of nonlinear parabolic equations. This method is mainly based on the Hopf's lemma and on the parabolic maximum principle. It can be applied to several types of 1D reaction-diffusion equations and systems, such as the Fisher-KPP equation and Lotka-Volterra competition systems.

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Available abstract

In this talk, I will present a method introduced in 2010 by Cristofol and Roques to obtain uniqueness results in inverse problems of determining non-constant coefficients of nonlinear parabolic equations. This method is mainly based on the Hopf's lemma and on the parabolic maximum principle. It can be applied to several types of 1D reaction-diffusion equations and systems, such as the Fisher-KPP equation and Lotka-Volterra competition systems.

Key concepts: Mathematics, Uniqueness, Lemma (botany), Maximum principle, Mathematical analysis, Constant (computer programming), Uniqueness theorem for Poisson's equation, Inverse problem

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