University of Birmingham > Talks@bham > Analysis Seminar > The critical Gel'fand equation with singular initial data

The critical Gel'fand equation with singular initial data

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If you have a question about this talk, please contact José Cañizo.

The Gel’fand 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.

This talk is part of the Analysis Seminar series.

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