Special Session 64: Blow-ups and dynamics of nonlinear parabolic equations
Liouville theorems and universal estimates for superlinear parabolic problems
Pavol Quittner
Comenius University, Bratislava
Slovak Rep
Co-Author(s):    Pavol Quittner
Abstract:
It is known that Liouville-type theorems guarantee universal estimates of solutions to various superlinear elliptic and parabolic problems which are scale-invariant. We discuss several recent related results, particularly for parabolic problems without scale invariance. Part of these results is a joint work with Philippe Souplet.
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