## Differential and Integral Equations

### Small global solutions for nonlinear Dirac equations

#### Abstract

The global Cauchy problem for nonlinear Dirac and Klein-Gordon equations in space--time $\mathbb R^{n+1}$ is studied in Sobolev and Besov spaces. Global existence of small solutions is proved under a scale-invariant setting when reduced to the corresponding massless case.

#### Article information

Source
Differential Integral Equations Volume 17, Number 5-6 (2004), 623-636.

Dates
First available in Project Euclid: 21 December 2012

https://projecteuclid.org/euclid.die/1356060351

Mathematical Reviews number (MathSciNet)
MR2054938

Zentralblatt MATH identifier
1174.35452

Subjects
Primary: 35Q40: PDEs in connection with quantum mechanics

#### Citation

Machihara, Shuji; Nakamura, Makoto; Ozawa, Tohru. Small global solutions for nonlinear Dirac equations. Differential Integral Equations 17 (2004), no. 5-6, 623--636. https://projecteuclid.org/euclid.die/1356060351.