The critical Gelfand equation with singular initial data

Prelegent(ci)

Mikołaj Sierżęga

Termin

10 grudnia 2015 12:30

Pokój

p. 4060

Seminarium

Seminarium Zakładu Równań Fizyki Matematycznej

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The Gelfand equation is a semilinear heat equation with an exponential nonlinearity encountered e.g. in the mathematical theory of combustion. In my talk I will address the problem of existence of smooth solutions for unbounded initial data and offer a description of the critical balance between the "singularity" of the data and the growth of the nonlinearity that marks the borderline between the well-posed and the ill-posed cases. The techniques offer near sharp results and at the same time they are simple and apply to more general models that involve convex source terms. 

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