Abstract
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.
Original language | English |
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Pages (from-to) | 69-75 |
Number of pages | 7 |
Journal | Analysis (Germany) |
Volume | 37 |
Issue number | 2 |
DOIs | |
Publication status | Published - May 1 2017 |
Keywords
- analytic spaces
- Dirac
- Gevrey spaces
- well-posedness
ASJC Scopus subject areas
- Analysis
- Numerical Analysis
- Applied Mathematics