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 - <p style="text-align: justify;">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.</p>