Pacific Journal of Mathematics

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

Jacques C. H. Simon
Source: Pacific J. Math. Volume 105, Number 2 (1983), 449-471.
First Page: Show Hide
Primary Subjects: 22E45
Secondary Subjects: 22E70, 81D25
Full-text: Open access
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102723340
Zentralblatt MATH identifier: 0505.35077
Zentralblatt MATH identifier: 0489.35074
Mathematical Reviews number (MathSciNet): MR691615

References

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Mathematical Reviews (MathSciNet): MR58:22399
Zentralblatt MATH: 0384.22005
[2] M. Flato and J. Simon, Non-linear equations and covariance, Letters Math. Phys., 2 (1977), 155-160.
Mathematical Reviews (MathSciNet): MR57:3320
Zentralblatt MATH: 0392.22013
[3] M. Flato and J. Simon, Yang-Mills equations are formally linearizable, Letters Math. Phys., 3 (1979), 279-283.
Mathematical Reviews (MathSciNet): MR80i:81034
Zentralblatt MATH: 0418.22017
[4] M. Flato and J. Simon, On a linearization program of non-linearfield equations, Physics Letters, 94B (1980), 518-522.
Mathematical Reviews (MathSciNet): MR82c:81068
[5] M. Flato and J. Simon, Linearization of relativistic non-linearwave equations, J. Math. Phys., 21(1980), 913-917.
Mathematical Reviews (MathSciNet): MR81f:81033
Zentralblatt MATH: 0451.22015
[6] A. Grothendieck, Produits tensoriels topologiques et espaces nucleaires, Memoirs of the A.M.S., n 16(1955).
Mathematical Reviews (MathSciNet): MR17:763c
Zentralblatt MATH: 0123.30301
[7] S. Klainerman, Global existence of non-linear wave equations, Comm. on Pure and Applied Math., 33 (1980), 43-101.
Mathematical Reviews (MathSciNet): MR81b:35050
Zentralblatt MATH: 0405.35056
[8] G. Pinczon and J. Simon, Extension of representations and cohomology, Reports on Mathematical Physics, 16 (1979),49-77.
Mathematical Reviews (MathSciNet): MR81k:22011
Zentralblatt MATH: 0445.22013
[9] H. Poincare, Oeures, Vol. 1.
[10] M. Reed, Abstract Non-linear Wave Equations, Lecture Notes in Mathematics n50, Springer-Verlag (1976).
Mathematical Reviews (MathSciNet): MR58:29290
Zentralblatt MATH: 0317.35002
[11] I. Segal, Non-linear semi-groups, Ann. Math., 78 (1963), 339-364.
Mathematical Reviews (MathSciNet): MR27:2879
Zentralblatt MATH: 0204.16004
[12] I. Segal, The global Cauchy problem for relativistc scalar field with power interaction, Bull. Soc. Math, de France, 91 (1963), 129-135.
Mathematical Reviews (MathSciNet): MR27:3928
Zentralblatt MATH: 0178.45403
[13] W. Strauss, On weak solutions of semi-linear hyperbolic equations, Anais. Acad. Brazil Ciencias, 42 (1970), 645-651.
Mathematical Reviews (MathSciNet): MR46:5837
Zentralblatt MATH: 0217.13104

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