asymptotes for the Klein-Gordon equation

Author:
Stuart Nelson

Journal:
Proc. Amer. Math. Soc. **27** (1971), 110-116

MSC:
Primary 35.79

DOI:
https://doi.org/10.1090/S0002-9939-1971-0271561-2

MathSciNet review:
0271561

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Abstract | References | Similar Articles | Additional Information

Abstract: An approximation is obtained for solutions of the Klein-Gordon equation. can be expressed in terms of the Fourier transforms of the Cauchy data and it is shown that as . This result is applied to show how energy distributes among various conical regions.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1971-0271561-2

Keywords:
Klein-Gordon equation,
Cauchy problem,
asymptotic behavior,
decay,
approximation,
energy in conical region,
Virial theorem,
Riemann-Lebesgue theorem

Article copyright:
© Copyright 1971
American Mathematical Society