P. Quittner

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20152026

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math.AP2016

Uniqueness of singular self-similar solutions of a semilinear parabolic equation

Pavol Quittner

We study the uniqueness of singular radial (forward and backward) self-similar positive solutions of the equation $u_{t} - Δ u = u^{p}, x \in R^{n}, t > 0,$ where $p\geq(n+2)/(…

math.AP2016

Threshold and strong threshold solutions of a semilinear parabolic equation

Pavol Quittner

If $p > 1 + 2/ n$ then the equation $u_{t} - Δ u = u^{p}, x \in R^{n}, t > 0,$ possesses both positive global solutions and positive solutions which blow up in finite time. We study…