CRM: Centro De Giorgi
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Gradient flow equations of non convex functionals

seminar: Results and open problems on the Perona-Malik equation

speaker: Massimo Gobbino (University of Pisa)

abstract: The Perona-Malik equation is a forward-bacward parabolic equation for which a notion of (even local) solution is still missing in one dimension. We will consider the problem of existence of local and global solutions, and a related recent Bernstein-type result. We will show several gradient estimates one can expect from solutionsto the equation, both in one and in any dimension. Several open problems and conjectures will be discussed.


timetable:
Mon 2 May, 9:30 - 10:30, Sala Conferenze Centro De Giorgi
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