Nonlinear representations of Poincaré group and global solutions of relativistic wave equations

Jacques C. H. Simon

Vol. 105 (1983), No. 2, 449–471

DOI: 10.2140/pjm.1983.105.449

Abstract

Non-linear massive representations of the Poincaré group are proved to be equivalent, on certain sectors, to massive linear representations with an energy of definite sign. As a consequence (for small initial data in these sectors), the existence of global solutions for massive wave equations is proved.

Mathematical Subject Classification 2000

Primary: 22E45

Secondary: 22E70, 81D25

Milestones

Received: 9 September 1981

Revised: 18 December 1981

Published: 1 April 1983