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Pointwise Convergence of the Schrödinger Flow by Compaan, Erin; Lucà , Renato; Staffilani, Gigliola is a Mathematics article available to read on EtoBox.

What is Pointwise Convergence of the Schrödinger Flow about?

## Abstract In this paper we address the question of the pointwise almost everywhere limit of nonlinear Schrödinger flows to the initial data, in both the continuous and the periodic settings. Then we show how, in some cases, certain smoothing effects for the non-homogeneous part of the solution can be used to upgrade to a uniform convergence to zero of this part, and we discuss the sharpness of the results obtained. We also use randomization techniques to prove that with much less regularity of the initial data, both in continuous and the periodic settings, almost surely one obtains uniform convergence of the nonlinear solution to the initial data, hence showing how more generic results can be obtained.

Who reads Pointwise Convergence of the Schrödinger Flow?

Author

Compaan, Erin; Lucà , Renato; Staffilani, Gigliola

Publisher

Oxford University Press; Oxford University Press (OUP) (ISSN 1073-7928)

Published

2020

Language

EN

Field

Mathematics (Physical Sciences)