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

Fila, Marek, and Winkler, Michael. "Single-point blow-up on the boundary where the zero Dirichlet boundary condition is imposed." Journal of the European Mathematical Society 010.1 (2008): 105-132. <http://eudml.org/doc/277570>.

@article{Fila2008,
abstract = {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 $x>0$.},
author = {Fila, Marek, Winkler, Michael},
journal = {Journal of the European Mathematical Society},
keywords = {reaction-diffusion-convection equation; halfline; zero Dirichlet boundary condition; reaction-diffusion-convection equation; halfline; zero Dirichlet boundary condition},
language = {eng},
number = {1},
pages = {105-132},
publisher = {European Mathematical Society Publishing House},
title = {Single-point blow-up on the boundary where the zero Dirichlet boundary condition is imposed},
url = {http://eudml.org/doc/277570},
volume = {010},
year = {2008},
}

TY - JOUR
AU - Fila, Marek
AU - Winkler, Michael
TI - Single-point blow-up on the boundary where the zero Dirichlet boundary condition is imposed
JO - Journal of the European Mathematical Society
PY - 2008
PB - European Mathematical Society Publishing House
VL - 010
IS - 1
SP - 105
EP - 132
AB - 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 $x>0$.
LA - eng
KW - reaction-diffusion-convection equation; halfline; zero Dirichlet boundary condition; reaction-diffusion-convection equation; halfline; zero Dirichlet boundary condition
UR - http://eudml.org/doc/277570
ER -