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

Autor:	Daniel Oliveira da Silva
Rok vydání:	2017
Předmět:	Numerical Analysis Applied Mathematics 010102 general mathematics Mathematical analysis Dirac (software) 06 humanities and the arts 0603 philosophy ethics and religion 01 natural sciences Type equation 060302 philosophy 0101 mathematics Analysis Mathematics Mathematical physics Analytic function
Zdroj:	Analysis. 37:69-75
ISSN:	2196-6753 0174-4747
DOI:	10.1515/anly-2017-0008
Popis:	We consider a Dirac-type equation with a quadratic nonlinearity with initial data in the Gevrey spaces G σ , s {G^{\sigma,s}} , whose functions admit analytic continuations. We show that the Cauchy problem is locally well-posed in G σ , s {G^{\sigma,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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2caabe8a4d84be8e5fa3918c43d2f301 https://doi.org/10.1515/anly-2017-0008 Zobrazit plný text záznamu