Zbigniew Slodkowski, Giuseppe Tomassini (1996)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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In this Note we state some results obtained studying the evolution of compact subsets of by Levi curvature. This notion appears to be the natural extension to Complex Analysis of the notion of evolution by mean curvature.
B. H. Gilding (1977)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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D. G. Aronson (1968)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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D. G. Aronson (1965)
Annales Polonici Mathematici
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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.
Lingeshwaran Shangerganesh, Arumugam Gurusamy, Krishnan Balachandran (2017)
Communications in Mathematics
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In this work, we study the existence and uniqueness of weak solutions of fourth-order degenerate parabolic equation with variable exponent using the difference and variation methods.
Michael Struwe (1981)
Manuscripta mathematica
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J. Chabrowski (1972)
Colloquium Mathematicae
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Dmitry Portnyagin (2003)
Annales Polonici Mathematici
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A generalization of the well-known weak maximum principle is established for a class of quasilinear strongly coupled parabolic systems with leading terms of p-Laplacian type.