Pushpa Publishing House

Journal Menu

Content

Volume 31 (2024)

Volume 30 (2023)

Volume 25 (2021)

Volume 24 (2021)

Volume 23 (2020)

Volume 22 (2020)

Volume 21 (2019)

Volume 20 (2019)

Volume 19 (2018)

Volume 18 (2017)

Volume 17 (2016)

Volume 16 (2015)

Volume 15 (2015)

Volume 14 (2014)

Volume 13 (2014)

Volume 12 (2013)

Volume 11 (2013)

Volume 10 (2012)

Volume 9 (2012)

Volume 8 (2011)

Volume 7 (2011)

Volume 6 (2010)

Volume 5 (2010)

Volume 4 (2009)

	Volume 4, Issue 2 Pg 79 - 159 (November 2009)
	Volume 4, Issue 1 Pg 1 - 77 (August 2009)

Volume 3 (2009)

Volume 2 (2008)

Volume 1 (2008)

-->

Advances in Differential Equations and Control Processes

with homogeneous Dirichlet conditions and nonnegative nontrivial initial datum. The local existence and uniqueness of the classical positive solution are established. Under appropriate hypotheses, it is shown that all positive solutions blow up in finite time. It is also proved that the blow-up set is the whole domain. And these differ from the local source case and the case with only space integral source. Furthermore, the blow-up rate is precisely determined for the two special cases:

and

Advances in Differential Equations and Control Processes
Volume 4, Issue 1, Pages 57 - 77 (August 2009)

GLOBAL BLOW-UP FOR A DEGENERATE PARABOLIC EQUATION WITH A SPACE-TIME INTEGRAL SOURCE
Youpeng Chen (P. R. China)

Abstract:
This paper deals with the blow-up properties of positive solution to the nonlocal in space and time degenerate parabolic equation

with homogeneous Dirichlet conditions and nonnegative nontrivial initial datum. The local existence and uniqueness of the classical positive solution are established. Under appropriate hypotheses, it is shown that all positive solutions blow up in finite time. It is also proved that the blow-up set is the whole domain. And these differ from the local source case and the case with only space integral source. Furthermore, the blow-up rate is precisely determined for the two special cases:

and

Keywords and phrases: degenerate parabolic equation, space-time integral source, global existence, global blow-up, asymptotic behavior.

Number of Downloads: 278 | Number of Views: 618

Previous

P-ISSN: 0974-3243

E-ISSN: 3048-734X

Journal Stats

Publication count: 391

Citation count (Google Scholar): 740

h10-index (Google Scholar): 20

h-index (Google Scholar): 14

Downloads : 98109

Views: 365290

Downloads/publish articles: 250.92

Citations (Google Scholar)/publish articles: 1.89

This website is best viewed at 1024x768 or higher resolution with Microsoft Internet Explorer 6 or newer.