Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Monica Vișan"'
Publikováno v:
Revista Matemática Iberoamericana. 35:703-730
We prove inverse Strichartz theorems at L2 regularity for a family of Schrodinger evolutions in one space dimension. Prior results rely on spacetime Fourier analysis and are limited to the translation-invariant equation i∂tu=−12Δu. Motivated by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::84ebed3c9cb9ad75c9477c643e3fb8c7
https://doi.org/10.4171/rmi/1067
https://doi.org/10.4171/rmi/1067
Publikováno v:
Oberwolfach Reports. 14:1681-1745
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d0c474f923a75de8a7f6bf0a089ba421
https://doi.org/10.4171/owr/2017/27
https://doi.org/10.4171/owr/2017/27
Publikováno v:
Forum of Mathematics, Pi, Vol 12 (2024)
We prove that the cubic nonlinear Schrödinger equation (both focusing and defocusing) is globally well-posed in $H^s({{\mathbb {R}}})$ for any regularity $s>-\frac 12$ . Well-posedness has long been known for $s\geq 0$ , see [55], but not pre
Externí odkaz:
https://doaj.org/article/4f25f3788e814a4db9a2cfcca6b8648b
The first part of the book provides an introduction to key tools and techniques in dispersive equations: Strichartz estimates, bilinear estimates, modulation and adapted function spaces, with an application to the generalized Korteweg-de Vries equati
Autor:
Terence Tao, Monica Visan
Publikováno v:
Electronic Journal of Differential Equations, Vol 2005, Iss 118, Pp 1-28 (2005)
We develop the existence, uniqueness, continuity, stability, and scattering theory for energy-critical nonlinear Schrodinger equations in dimensions $n geq 3$, for solutions which have large, but finite, energy and large, but finite, Strichartz norms
Externí odkaz:
https://doaj.org/article/ae62975b4e304ce58ea5308899085147