LOCAL AND GLOBAL WELL POSEDNESS FOR THE CHERN-SIMONS-DIRAC SYSTEM IN ONE DIMENSION

Nikolaos Bournaveas, Timothy Candy, Shuji Machihara

Research output: Contribution to journalArticlepeer-review

Abstract

We consider the Cauchy problem for the Chern-Simons-Dirac system on R1+1 with initial data in H-s. Almost optimal local well posedness is obtained. Moreover, we show that the solution is global in time, provided that initial data for the spinor component has finite charge, or L-2 norm.

Original languageEnglish
Pages (from-to)699-718
Number of pages20
JournalDifferential and integral equations
Volume25
Issue number7-8
Publication statusPublished - 2012

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