This paper deals with the question of blow-up of solutions to nonlocal reaction-diffusion systems under various boundary conditions. Specifically, conditions on data are introduced to avoid the blow-up of the solution, and when the blow-up occurs, explicit lower and upper bounds of blow-up time are derived.

Blow-up time estimates in nonlocal reaction-diffusion systems under various boundary conditions

Marras, M;Piro Vernier, S
2017-01-01

Abstract

This paper deals with the question of blow-up of solutions to nonlocal reaction-diffusion systems under various boundary conditions. Specifically, conditions on data are introduced to avoid the blow-up of the solution, and when the blow-up occurs, explicit lower and upper bounds of blow-up time are derived.
2017
blow-up; global existence; nonlinear parabolic systems; Analysis; Algebra and Number Theory
File in questo prodotto:
File Dimensione Formato  
blow_up_nolocal_BVP_2017.pdf

accesso aperto

Descrizione: Articolo principale
Tipologia: versione editoriale
Dimensione 1.46 MB
Formato Adobe PDF
1.46 MB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11584/195315
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 15
  • ???jsp.display-item.citation.isi??? 16
social impact