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

Marek Fila; Michael Winkler — 2008

Journal of the European Mathematical Society

We consider a reaction-diffusion-convection equation on the halfline (0,1) 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 $x > 0$ .

Connections between spatial decay of initial data and time asymptotics in a supercritical parabolic equation

Winkler, Michael — 2007

Proceedings of Equadiff 11

Page 1

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