blowup and asymptotic stability of weak solutions to wave equations with nonlinear degenerate damping and source terms

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ID: 177558
2007
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Ranked #54 of 219 articles by views in icsoft 2006 - 1st international conference on software and data technologies, proceedings

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Abstract
This article concerns the blow-up and asymptotic stability of weak solutions to the wave equation $$ u_{tt}-Delta u +|u|^kj'(u_t)=|u|^{p-1}u quad hbox{in }Omega imes (0,T), $$ where $p>1$ and $j'$ denotes the derivative of a $C^1$ convex and real value function $j$. We prove that every weak solution is asymptotically stability, for every $m$ such that $0k+m$ and the initial data is positive, but appropriately bounded.
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zhang2007electronicblowup Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Hongwei Zhang;Qingying Hu
Journal icsoft 2006 - 1st international conference on software and data technologies, proceedings
Year 2007
DOI
DOI not found
URL
http://ejde.math.txstate.edu/Volumes/2007/76/abstr.html
Keywords Keywords not found

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