Local well-posedness for the quadratic Schrodinger... - BV FAPESP
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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Local well-posedness for the quadratic Schrodinger equation in two-dimensional compact manifolds with boundary

Full text
Author(s):
Nogueira, Marcelo [1] ; Panthee, Mahendra [1]
Total Authors: 2
Affiliation:
[1] Univ Estadual Campinas, Dept Math, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES; JUL 2021.
Web of Science Citations: 0
Abstract

We consider the quadratic NLS posed on a bidimensional compact Riemannian manifold (M, g) with partial derivative M not equal (null set). Using bilinear and gradient bilinear Strichartz estimates for Schrodinger operators in two-dimensional compact manifolds proved by Jiang (Differ Integral Equ 24(1-2):83-108, 2011) we deduce a new evolution bilinear estimates. Consequently, using Bourgain's spaces, we obtain a local well-posedness result for given data u(0) is an element of H-s (M) whenever s > 2/3 in such manifolds. (AU)

FAPESP's process: 20/14833-8 - Nonlinear dispersive wave models
Grantee:Mahendra Prasad Panthee
Support Opportunities: Regular Research Grants