Single-point blow-up on the boundary where the zero Dirichlet boundary condition is imposed

• Autores: Marek Fila, Michael Winkler
• Localización: Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 10, Nº 1, 2008, págs. 105-132
• Idioma: inglés
• DOI: 10.4171/jems/105
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• Resumen

  • We consider a reaction-diffusion-convection equation on the halfline $(0,\infty)$ with the zero Dirichlet boundary condition at $x=0$. We find a positive selfsimilar solution $u$ which blows up in a finite time $T$ at $x=0$ while $u(x,T)$ remains bounded for $x>0$.