Power Concavity for Doubly Nonlinear Parabolic Equations
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@Article{JMS-50-190,
author = {Zhao , Leina},
title = {Power Concavity for Doubly Nonlinear Parabolic Equations},
journal = {Journal of Mathematical Study},
year = {2017},
volume = {50},
number = {2},
pages = {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.
}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v50n2.17.05}, url = {http://global-sci.org/intro/article_detail/jms/10009.html} }
TY - JOUR
T1 - Power Concavity for Doubly Nonlinear Parabolic Equations
AU - Zhao , Leina
JO - Journal of Mathematical Study
VL - 2
SP - 190
EP - 198
PY - 2017
DA - 2017/06
SN - 50
DO - http://doi.org/10.4208/jms.v50n2.17.05
UR - https://global-sci.org/intro/article_detail/jms/10009.html
KW - Maximum principle, degenerate parabolic equation, concavity.
AB -
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.
Zhao , Leina. (2017). Power Concavity for Doubly Nonlinear Parabolic Equations.
Journal of Mathematical Study. 50 (2).
190-198.
doi:10.4208/jms.v50n2.17.05
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