Colóquio de Matemática

Critical and supercritical PDEs : (I'm forever) blowing bubbles

Sala 6.2.33, Ciências ULisboa (com transmissão online)

Por Jean-Baptiste Casteras (CMAFcIO, FCUL).

Critical and supercritical PDEs appear in a large variety of problems arising from very different areas ranging from physics to geometry passing through biology. Critical refers to a situation where the nonlinearity in the PDE satisfies a Sobolev embedding which is continuous but not compact. The main feature of this kind of equation is the fact that solutions can blow up. I will try to give a glimpse at the behavior of solutions to such equations.

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Departamento de Matemática | Ciências ULisboa