Almost Sure Scattering for the One Dimensional Nonlinear Schrodinger Equation
Seiten
2024
American Mathematical Society (Verlag)
978-1-4704-6979-5 (ISBN)
American Mathematical Society (Verlag)
978-1-4704-6979-5 (ISBN)
We consider the one-dimensional nonlinear Schrödinger equation with a nonlinearity of degree p > 1. On compact manifolds many probability measures are invariant by the flow of the linear Schrödinger equation, and it is sometimes possible to modify them suitably and get invariant or quasi-invariant measures for the non linear problem.
The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.
The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.
Nicolas Burq, Universite Paris-Saclay, Orsay, France, and Institut Universitaire de France, France, and Laurent Thomann, Universite de Lorraine, Nancy, France.
1. Introduction and results
2. The measures and linear analysis
3. Measures and functional analysis
4. Evolution of the Gaussian measure
5. Nonlinear estimates
6. Functional spaces $Y^{/rho , /epsilon }$ and $X^/rho _{t_0, /tau }$
7. Large deviation bounds
8. The local Cauchy theory
9. Global existence for $p>
1$
10. Quasi-invariance of the measures
11. Decay estimates and scattering
A. Some technical results
Erscheinungsdatum | 04.06.2024 |
---|---|
Reihe/Serie | Memoirs of the American Mathematical Society ; Volume: 296 Number: 1480 |
Verlagsort | Providence |
Sprache | englisch |
Maße | 178 x 254 mm |
Gewicht | 272 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Naturwissenschaften ► Physik / Astronomie | |
ISBN-10 | 1-4704-6979-0 / 1470469790 |
ISBN-13 | 978-1-4704-6979-5 / 9781470469795 |
Zustand | Neuware |
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Buch | Hardcover (2022)
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