Power Concavity for Doubly Nonlinear Parabolic Equations

Power Concavity for Doubly Nonlinear Parabolic Equations

Year:    2017

Author:    Leina Zhao

Journal of Mathematical Study, Vol. 50 (2017), Iss. 2 : pp. 190–198

Abstract

We prove the concavity of the power of a solution is preserved for a class of doubly nonlinear parabolic equation, which is a well-known feature in some particular cases such as the porous medium equation or the parabolic $p$-Laplace equation.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jms.v50n2.17.05

Journal of Mathematical Study, Vol. 50 (2017), Iss. 2 : pp. 190–198

Published online:    2017-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    Maximum principle degenerate parabolic equation concavity.

Author Details

Leina Zhao