bounded solutions of nonlinear parabolic equations

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ID: 205036
2010
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Ranked #147 of 219 articles by views in icsoft 2006 - 1st international conference on software and data technologies, proceedings

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Abstract
We are concerned with bounded solutions existing for all times for nonlinear parabolic equations with possibly nonlinear boundary conditions. A counterexample shows that, without an additional condition, a (weak) maximum principle does not hold for linear problems defined on the entire real line in time. We consider solutions bounded for all times and derive a (weak) maximum principle which is valid on the entire real line. Using comparison techniques, a priori estimates and approximation methods, we prove the existence and, in some cases, positivity and uniqueness of bounded solutions existing for all times.
Reference Key
mavinga2010electronicbounded Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Nsoki Mavinga;Mubenga N. Nkashama
Journal icsoft 2006 - 1st international conference on software and data technologies, proceedings
Year 2010
DOI
DOI not found
URL
http://ejde.math.txstate.edu/conf-proc/19/m2/abstr.html
Keywords Keywords not found

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