A modern proof of the Maximum Principle
Andrzej W. Turski (1991)
Annales Polonici Mathematici
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Andrzej W. Turski (1991)
Annales Polonici Mathematici
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D. G. Aronson (1965)
Annales Polonici Mathematici
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Horn, Werner (2002)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Michael Struwe (1981)
Manuscripta mathematica
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Ivanov, Alexander V.
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P. Besala (1983)
Annales Polonici Mathematici
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H. Ugowski (1971)
Annales Polonici Mathematici
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P. Besala (1963)
Colloquium Mathematicae
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J. Murzewski, A. Sowa (1972)
Applicationes Mathematicae
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Tuomo Kuusi (2008)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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In this work we prove both local and global Harnack estimates for weak supersolutions to second order nonlinear degenerate parabolic partial differential equations in divergence form. We reduce the proof to an analysis of so-called hot and cold alternatives, and use the expansion of positivity together with a parabolic type of covering argument. Our proof uses only the properties of weak supersolutions. In particular, no comparison to weak solutions is needed.
Piotr Biler (2006)
Banach Center Publications
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This note contains some remarks on the paper of Y. Naito concerning the parabolic system of chemotaxis and published in this volume.
Zhou, Chiping (1994)
International Journal of Mathematics and Mathematical Sciences
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Wolf von Wahl (1983)
Annales Polonici Mathematici
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A. Wójcik (1980)
Annales Polonici Mathematici
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