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NCTS Seminar on Mathematical Biology
 
14:00 - 16:00, June 26, 2018 (Tuesday)
Lecture Room B, 4th Floor, The 3rd General Building, NTHU
(清華大學綜合三館 4樓B演講室)
The Theorem of Characterization of the Strong Maximum Principle
Julian Lopez-Gomez (Universidad Complutense de Madrid)

Abstract:

The main goal of this talk is discussing the classical (well known) versions
of the strong maximum principle of Hopf and Oleinik, as well as the generalized maximum principle of Protter and Weinberger, as previous steps towards the theorem of characterization of the strong maximum principle of López-Gómez, Molina-Meyer and Amann, which generalizes, very substantially, a popular result of Berestycki, Nirenberg and Varadhan. Then, it will be shown how such a characterization allows  us to algebrize the analysis of the search for positive solutions in a generalized class of diffusive logistic equations.



 

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