CRM: Centro De Giorgi
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A Mathematical Tribute to Ennio De Giorgi

Global existence of small equiv- ariant wave maps on rotationally symmetric manifolds

speaker: Piero D'Ancona (Università di Roma "La Sapienza")

abstract: We introduce a class of rotationally invariant manifolds, which we call admis- sible, on which the wave flow satisfies smoothing and Strichartz estimates. We deduce the global existence of equivariant wave maps from admissible manifolds to general targets, for small initial data of critical regularity Hn2. The class of admissible manifolds includes in particular asymptotically flat manifolds and perturbations of real hyperbolic spaces Hn for n ≥ 3. Joint work with Qidi Zhang (Shanghai)


timetable:
Tue 20 Sep, 16:00 - 16:55, Palazzo dei Congressi
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