Stabilization of solutions of a reaction-diffusion equation
On some properties of solutions of the Cauchy problem for a quasilinear parabolic equation
Boundedness of global solutions for the heat equation with nonlinear boundary conditions
Blow-up on the boundary: a survey
Some recent results on blow-up on the boundary for the heat equation
Single-point blow-up on the boundary where the zero Dirichlet boundary condition is imposed
We consider a reaction-diffusion-convection equation on the halfline (0,1) with the zero Dirichlet boundary condition at . We find a positive selfsimilar solution which blows up in a finite time at while remains bounded for .
Global behaviour of solutions to some nonlinear diffusion equations
Blow up above stationary solutions of certain nonlinear parabolic equations
A blow-up result for nonlinear diffusion equations
Stabilization of solutions of certain one-dimensional degenerate diffusion equations
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