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Monotonicity and its analytic and geometric implications

In this expository article, we discuss various monotonicity formulas for parabolic and elliptic operators and explain how the analysis of function spaces and the geometry of the underlining spaces are intertwined. After briefly discussing some of the well-known analytical applications of monotonicit...

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Autori principali: Colding, Tobias Holck, Minicozzi, William P.
Natura: Artigo
Lingua:Inglês
Pubblicazione: National Academy of Sciences 2013
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Accesso online:https://ncbi.nlm.nih.gov/pmc/articles/PMC3845100/
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.1203856109
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