Power Concavity for Doubly Nonlinear Parabolic Equations

Authors

  • Leina Zhao College of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing 400074, P. R. of China

DOI:

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

Keywords:

Maximum principle, degenerate parabolic equation, concavity.

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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Published

2017-06-02

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Issue

Vol. 50 No. 2 (2017)

Section

Articles

How to Cite

Power Concavity for Doubly Nonlinear Parabolic Equations. (2017). Journal of Mathematical Study, 50(2), 190-198. https://doi.org/10.4208/jms.v50n2.17.05