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math.AP2022
Long time solutions for 1D cubic dispersive equations, Part II: the focusing case
Mihaela Ifrim, Daniel Tataru
This article is concerned with one dimensional dispersive flows with cubic nonlinearities on the real line. In a very recent work, the authors have introduced a broad conjecture fo…
math.AP2022★ 1 cited
Global solutions for 1D cubic defocusing dispersive equations: Part I
Mihaela Ifrim, Daniel Tataru
This article is devoted to a general class of one dimensional NLS problems with a cubic nonlinearity. The question of obtaining scattering, global in time solutions for such proble…
math.AP2022
Testing by wave packets and modified scattering in nonlinear dispersive pde's
Mihaela Ifrim, Daniel Tataru
Modified scattering phenomena are encountered in the study of global properties for nonlinear dispersive partial differential equations in situations where the decay of solutions a…