Keywords
- Compact Support
- Global Solution
- Space Dimension
- Difference Quotient
- Differentiability Property
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Bibliography
Browder, F., "On non-linear wave equations", Math. Zeit. 80 (1962), 249–264.
Chadam, J., "Global solutions of the Cauchy problem for the (classical) coupled Maxwell-Dirac equations in one space dimension", J. Func. Anal. 13 (1973), 173–184.
Chadam, J. and R. Glassey, "On certain global solutions of the Cauchy problem for the (classical) coupled Klein-Gordon-Dirac equations in one and three space dimensions", Arch. Rat. Mech. Anal. 54 (1974), 223–237.
J. Glimm and P. Lax, Decay of Solutions of Systems of Nonlinear Hyperbolic Conservation Laws, Amer. Math. Soc. Memoir 101.
Reed, M., Abstract Non-Linear Wave Equations, Springer Lec. Notes in Math. 507.
_____, "Propogation of singularities for non-linear wave equations in one dimension", Arch. Rat. Mech. Anal. (to appear)
Segal, I., "Non-linear semi-groups", Ann. Math. 78 (1963), 339–364.
_____, "Dispersion for non-linear relativistic equations, II," Ann. Sci. Ecole Norm. Sup. (4) I, (1968), 459–497.
Strauss, W. "Nonlinear Scattering Theory", in Scattering Theory in Mathematical Physics, ed. J. A. Lavita and J. P. Marchand. Reidel, Holland, 1974, 53–78.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1978 Springer-Verlag
About this paper
Cite this paper
Reed, M.C. (1978). Singularities in non-linear waves of Klein-Gordon type. In: Chadam, J. (eds) Nonlinear Partial Differential Equations and Applications. Lecture Notes in Mathematics, vol 648. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066410
Download citation
DOI: https://doi.org/10.1007/BFb0066410
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-08759-5
Online ISBN: 978-3-540-35868-8
eBook Packages: Springer Book Archive
