Volume 50, Issue 2
Power Concavity for Doubly Nonlinear Parabolic Equations

Leina Zhao

J. Math. Study, 50 (2017), pp. 190-198.

Published online: 2017-06

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  • 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.

  • Keywords

Maximum principle degenerate parabolic equation concavity

  • AMS Subject Headings

35B50 35E10 35K65

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

zhao_leina@163.com (Leina Zhao)

  • BibTex
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  • TXT
@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://dor.org/10.4208/jms.v50n2.17.05 UR - https://global-sci.org/intro/jms/10009.html KW - Maximum principle KW - degenerate parabolic equation KW - 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.

Leina Zhao. (2019). 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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