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Blow-up phenomena for a system of semilinear parabolic equations with nonlinear boundary conditions

Baghaei, K ; Sharif University of Technology | 2015

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  1. Type of Document: Article
  2. DOI: 10.1002/mma.3085
  3. Publisher: John Wiley and Sons Ltd , 2015
  4. Abstract:
  5. This paper deals with the blow-up phenomena for a system of parabolic equations with nonlinear boundary conditions. We show that under some conditions on the nonlinearities, blow-up occurs at some finite time. We also obtain upper and lower bounds for the blow-up time when blow-up occurs. Copyright
  6. Keywords:
  7. Nonlinear boundary conditions ; Semilinear parabolic equations ; Boundary conditions ; Control nonlinearities ; Partial differential equations ; Blow-up ; Blow-up time ; Finite time ; Non-linear boundary conditions ; Parabolic Equations ; Semilinear parabolic equation ; Upper and lower bounds ; Nonlinear equations
  8. Source: Mathematical Methods in the Applied Sciences ; Volume 38, Issue 3 , 2015 , Pages 527-536 ; 01704214 (ISSN)
  9. URL: http://onlinelibrary.wiley.com/doi/10.1002/mma.3085/full