On some solutions to the Klein-Gordon equation related to an integral of Sonine
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- by Stuart Nelson PDF
- Trans. Amer. Math. Soc. 154 (1971), 227-237 Request permission
Abstract:
An integral due to Sonine is used to obtain an expansion for special solutions $W(x,t)$ of the Klein-Gordon equation. This expansion is used to estimate the ${L_p}$ norms $\left \|W( \cdot ,t)\right \|_p$ as $t \to \infty$. These estimates yield results on the time decay of a fairly wide class of solutions to the Klein-Gordon equation.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 154 (1971), 227-237
- MSC: Primary 35C15; Secondary 35Q99
- DOI: https://doi.org/10.1090/S0002-9947-1971-0415049-9
- MathSciNet review: 0415049