nonlocal degenerate reaction-diffusion equations with general nonlinear diffusion term

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ID: 159667
2014
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Ranked #82 of 219 articles by views in icsoft 2006 - 1st international conference on software and data technologies, proceedings

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Abstract
We study a class of second-order nonlocal degenerate semilinear reaction-diffusion equations with general nonlinear diffusion term. Under a set of conditions on the general nonlinear diffusivity and nonlinear nonlocal source term, we prove global existence and uniqueness results in a subset of a Sobolev space. Furthermore, we prove nonexistence of smooth solution or blow-up of solution under some other set of conditions. Lastly, we give illustrative examples for which our results apply.
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sanni2014electronicnonlocal Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Sikiru Adigun Sanni
Journal icsoft 2006 - 1st international conference on software and data technologies, proceedings
Year 2014
DOI
DOI not found
URL
http://ejde.math.txstate.edu/Volumes/2014/124/abstr.html
Keywords Keywords not found

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