BZ Seminar in Analysis: Paolo Tilli (Politecnico di Torino)

A minimization approach to hyperbolic Cauchy problems

We will discuss some recent results obtained in collaboration with E. Serra, concerning a minimization approach to a wide family of hyperbolic Cauchy problems. This general and abstract approach, that stems from a conjecture of De Giorgi in a particular case, allows the approximation of solutions to Cauchy problems by functions that minimize suitable functionals in space-time. Also equations with dissipative terms can be treated. Focus will be on recent results and some related open questions.

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