Blow-Up Analysis for a Quasilinear Degenerate Parabolic Equation with Strongly Nonlinear Source
Joint Authors
Yao, Xianzhong
Zhou, Shouming
Zheng, Pan
Mu, Chunlai
Liu, Dengming
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-18
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
We investigate the blow-up properties of the positive solution of the Cauchy problem for a quasilinear degenerate parabolic equation with strongly nonlinear source ut=div(|∇um|p−2∇ul)+uq, (x,t)∈RN×(0,T), where N≥1, p>2 , and m, l, q>1, and give a secondary critical exponent on the decay asymptotic behavior of an initial value at infinity for the existence and nonexistence of global solutions of the Cauchy problem.
Moreover, under some suitable conditions we prove single-point blow-up for a large class of radial decreasing solutions.
American Psychological Association (APA)
Zheng, Pan& Mu, Chunlai& Liu, Dengming& Yao, Xianzhong& Zhou, Shouming. 2012. Blow-Up Analysis for a Quasilinear Degenerate Parabolic Equation with Strongly Nonlinear Source. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-447166
Modern Language Association (MLA)
Zheng, Pan…[et al.]. Blow-Up Analysis for a Quasilinear Degenerate Parabolic Equation with Strongly Nonlinear Source. Abstract and Applied Analysis No. 2012 (2012), pp.1-19.
https://search.emarefa.net/detail/BIM-447166
American Medical Association (AMA)
Zheng, Pan& Mu, Chunlai& Liu, Dengming& Yao, Xianzhong& Zhou, Shouming. Blow-Up Analysis for a Quasilinear Degenerate Parabolic Equation with Strongly Nonlinear Source. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-447166
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-447166