A result on a Dirac-type equation in spaces of analytic functions

Daniel Oliveira Da Silva

doi:10.1515/anly-2017-0008

A result on a Dirac-type equation in spaces of analytic functions

Daniel Oliveira Da Silva

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We consider a Dirac-type equation with a quadratic nonlinearity with initial data in the Gevrey spaces G^σ,s, whose functions admit analytic continuations. We show that the Cauchy problem is locally well-posed in G^σ,s, thus giving us short-time persistence of analyticity of solutions. In addition, we prove sufficient conditions for the solutions to be analytic for all time.

Original language	English
Pages (from-to)	69-75
Number of pages	7
Journal	Analysis (Germany)
Volume	37
Issue number	2
DOIs	https://doi.org/10.1515/anly-2017-0008
Publication status	Published - May 1 2017

Keywords

analytic spaces
Dirac
Gevrey spaces
well-posedness

ASJC Scopus subject areas

Analysis
Numerical Analysis
Applied Mathematics

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AB - We consider a Dirac-type equation with a quadratic nonlinearity with initial data in the Gevrey spaces Gσ,s, whose functions admit analytic continuations. We show that the Cauchy problem is locally well-posed in Gσ,s, thus giving us short-time persistence of analyticity of solutions. In addition, we prove sufficient conditions for the solutions to be analytic for all time.

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KW - Dirac

KW - Gevrey spaces

KW - well-posedness

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A result on a Dirac-type equation in spaces of analytic functions

Abstract

Keywords

ASJC Scopus subject areas

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