Non-negative solutions of linear parabolic equations
D. G. Aronson (1968)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “A nonlinear degenerate parabolic equation”
Non-negative solutions of linear parabolic equations
Uniqueness of positive weak solutions of second order parabolic equations
D. G. Aronson (1965)
Annales Polonici Mathematici
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Harnack estimates for weak supersolutions to nonlinear degenerate parabolic equations
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.
Regularity for doubly nonlinear parabolic equations
Ivanov, Alexander V.
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Evolution of subsets of and parabolic problem for the Levi equation
Zbigniew Slodkowski, Giuseppe Tomassini (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Non-negative solutions to fast diffusions.
Bjorn E. J. Dahlberg, Carlos E. Kenig (1988)
Revista Matemática Iberoamericana
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The purpose of this work is to study the class of non-negative continuous weak solutions of the non-linear evolution equation ∂u/∂t = ∆φ(u), x ∈ Rn, 0 < t < T ≤ +∞.
On the Partial Regularity of Weak Solutions of Nonlinear Parabolic Systems.
Michael Struwe, Mariano Giaquinta (1982)
Mathematische Zeitschrift
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