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• W3090827333 abstract "We consider the cubic nonlinear fourth-order Schrodinger equation [ ipartial_t u - Delta^2 u + mu Delta u = pm |u|^2 u, quad mu geq 0 ] on $mathbb{R}^N, N geq 5$ with random initial data. We prove almost sure local well-posedness below the scaling critical regularity. We also prove probabilistic small data global well-posedness and scattering. Finally, we prove the global well-posedness and scattering with a large probability for initial data randomized on dilated cubes." @default.
• W3090827333 created "2020-10-08" @default.
• W3090827333 creator A5087338257 @default.
• W3090827333 date "2020-09-29" @default.
• W3090827333 modified "2023-09-27" @default.
• W3090827333 title "Random data theory for the cubic fourth-order nonlinear Schrodinger equation" @default.
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• W3090827333 hasPublicationYear "2020" @default.
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