$L^{2}$ asymptotes for the Klein-Gordon equation
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- by Stuart Nelson PDF
- Proc. Amer. Math. Soc. 27 (1971), 110-116 Request permission
Abstract:
An approximation $a(x,t)$ is obtained for solutions $u(x,t)$ of the Klein-Gordon equation. $a(x,t)$ can be expressed in terms of the Fourier transforms of the Cauchy data and it is shown that $||a( \cdot ,t) - u( \cdot ,t)|{|_2} \to 0$ as $t \to \infty$. This result is applied to show how energy distributes among various conical regions.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- 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