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math.AP2021
Sobolev norms explosion for the cubic NLS on irrational tori
Filippo Giuliani, Marcel Guardia
We consider the cubic nonlinear Schrödinger equation on -dimensional irrational tori. We construct solutions which undergo growth of Sobolev norms. More concretely, for every $s…
math.AP2021★ 2 cited
On small breathers of nonlinear Klein-Gordon equations via exponentially small homoclinic splitting
Otávio M. L. Gomide, Marcel Guardia, Tere M. Seara +1
Breathers are nontrivial time-periodic and spatially localized solutions of nonlinear dispersive partial differential equations (PDEs). Families of breathers have been found for ce…