Proceedings of the 2016 4th International Conference on Electrical & Electronics Engineering and Computer Science (ICEEECS 2016)

The Critical Exponent for A Class Non-Autonomous Parabolic Equation in the K-Times Halved Space

Authors
Youhua Peng, Xianfeng Huang
Corresponding Author
Youhua Peng
Available Online December 2016.
DOI
https://doi.org/10.2991/iceeecs-16.2016.224How to use a DOI?
Keywords
Critical Exponent, Non-Autonomous Parabolic Equation, K-Times Halved Space
Abstract

This paper investigates the parabolic equation , ( ) with nonnegative initial date, where , , and extend the classical result of Fujita and more recent results of Levine and Meier. We demonstrate that as its critical exponent, which means that problem ( ) exhibited the following behavior: if , then every positive solution of the equation blow up in finite time, whereas if , then there exist both global and nonglobal solutions.

Copyright
© 2016, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2016 4th International Conference on Electrical & Electronics Engineering and Computer Science (ICEEECS 2016)
Series
Advances in Computer Science Research
Publication Date
December 2016
ISBN
978-94-6252-265-7
ISSN
2352-538X
DOI
https://doi.org/10.2991/iceeecs-16.2016.224How to use a DOI?
Copyright
© 2016, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Youhua Peng
AU  - Xianfeng Huang
PY  - 2016/12
DA  - 2016/12
TI  - The Critical Exponent for A Class Non-Autonomous Parabolic Equation in the K-Times Halved Space
BT  - Proceedings of the 2016 4th International Conference on Electrical & Electronics Engineering and Computer Science (ICEEECS 2016)
PB  - Atlantis Press
SP  - 1163
EP  - 1169
SN  - 2352-538X
UR  - https://doi.org/10.2991/iceeecs-16.2016.224
DO  - https://doi.org/10.2991/iceeecs-16.2016.224
ID  - Peng2016/12
ER  -