Vol. 105, No. 2, 1983

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

Jacques C. H. Simon

Vol. 105 (1983), No. 2, 449–471
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
Authors
Jacques C. H. Simon