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Analisi Matematica

A potential well argument for a heat equation with exponential nonlinearity in R^2

Federica Sani


30-01-2019 - 14:30
Largo San Leonardo Murialdo,1 - Pal.C - Aula 211

 


We introduce a potential well arguement for a semilinear heat equation with exponential nonlinearity in R^2 and initial data in H^1(R^2). We focus the attention on solutions below the ground state energy level, and we show that the dichotomy between blow-up and global existence is determined by the sign of a suitable auxiliary functional. This is a joint work with Michinori Ishiwata, Bernhard Ruf, and Elide Terraneo.
 
org: BATTAGLIA Luca

 

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