The Thirring model in spaces of analytic functions

DOI10.1515/APAM-2017-0005zbMath1397.35243OpenAlexW2761596817MaRDI QIDQ1747876

Daniel Oliveira da Silva

Publication date: 27 April 2018

Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/apam-2017-0005

zbMATH Keywords

well-posednessGevrey spacesanalytic spacesThirring

Mathematics Subject Classification ID

Model quantum field theories (81T10) PDEs in connection with quantum mechanics (35Q40) Initial value problems for nonlinear first-order PDEs (35F25)

Related Items (2)

Global well-posedness for the nonlinear wave equation in analytic Gevrey spaces ⋮ Global analytic solutions for the nonlinear Schrödinger equation

Cites Work

• Unnamed Item
• Lower bounds on the radius of spatial analyticity for the KdV equation
• Low regularity well-posedness for some nonlinear Dirac equations in one space dimension.
• Analytic well-posedness of periodic gKdV
• A soluble relativistic field theory
• Global solutions of the derivative Schrödinger equation in a class of functions analytic in a strip
• Local well-posedness of the generalized Korteweg-de Vries equation in spaces of analytic functions
• Local well-posedness for the periodic Korteweg-de Vries equation in analytic Gevrey classes
• The Cauchy problem of a periodic higher order KdV equation in analytic Gevrey spaces
• Anisotropic Gevrey regularity for mKdV on the circle
• On the radius of spatial analyticity for the 1d Dirac-Klein-Gordon equations
• Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation
• The Derivative Nonlinear Schrödinger Equation in Analytic Classes

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