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Global small solutions to the critical radial Dirac equation with potential

Article ID Journal Published Year Pages File Type
840973 Nonlinear Analysis: Theory, Methods & Applications 2011 14 Pages PDF
Abstract

We solve globally a radial cubic Dirac equation perturbed with a small potential, with data of small critical norm H1H1. The main tool is a new endpoint estimate of the perturbed Dirac flow for a class of radial-type initial data.

Keywords
42B2035J10Smoothing estimates35QxxStrichartz estimatesWeighted spaces
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Preview
Global small solutions to the critical radial Dirac equation with potential
Authors
Federico Cacciafesta,
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Journal
Nonlinear Analysis: Theory, Methods & Applications
Journal: Nonlinear Analysis: Theory, Methods & Applications
Related Categories
42B20
35J10
Smoothing estimates
35Qxx
Strichartz estimates
Weighted spaces
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