non-simultaneous blow-up for a semilinear parabolic system with nonlinear memory

Clicks: 8
ID: 243461
2007
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Ranked #17 of 17 articles by views in journal of oral pathology & medicine : official publication of the international association of oral pathologists and the american academy of oral pathology

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Abstract
In this note, we study the possibility of non-simultaneous blow-up for positive solutions to the following system:
ut - ∆u = uq1∫0t vp1(x,s) ds, vt - ∆v = vq2∫0t up2(x,s) ds
Under appropriate hypotheses, we prove that u blows up while v fails to blow up if and only if q1 > 1 and p2 < 2q1-1).
Reference Key
zhou2007surveysnon-simultaneous Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Jun Zhou
Journal journal of oral pathology & medicine : official publication of the international association of oral pathologists and the american academy of oral pathology
Year 2007
DOI
DOI not found
URL
http://www.utgjiu.ro/math/sma/v02/p03.pdf
Keywords
non-simultaneous blow-upmathematics

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