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On the dynamics of the heat equation with superlinear nonlinearity

Categoria
Seminari di Analisi Matematica
Data e ora inizio evento
Data e ora fine evento
Aula
Sala di Consiglio
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Dipartimento di Matematica Guido Castelnuovo, Sapienza Università di Roma

Speaker

Thomas BARTSCH UNIVERSITAT GIESSEN

We discuss the dynamical behavior of the semiflow associated to the nonlinear heat equation ut − ∆u = f(x, u) on a bounded domain with Dirichlet boundary conditions. The nonlinearity f grows superlinearly in u as u goes to infinity. A model example is f(x, u) = a(x)