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

Journal of the European Mathematical Society (2008)

- Volume: 010, Issue: 1, page 105-132
- ISSN: 1435-9855

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topFila, 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 -

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