Pavol Quittner
Published 2016-05-24Version 1
If $p>1+2/n$ then the equation $u_t-\Delta u = u^p, \quad x\in{\mathbb R}^n,\ t>0,$ possesses both positive global solutions and positive solutions which blow up in finite time. We study the large time behavior of radial positive solutions lying on the borderline between global existence and blow-up.
Classification of connecting solutions of semilinear parabolic equations
Continuation beyond interior gradient blow-up in a semilinear parabolic equation
A note on singularities in finite time for the constrained Willmore flow
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