Abstract
Here all fundamental solutions that are tempered distributions for the wave operator are determined and then used as a tool in the solution of the generalized Cauchy problem for this operator.
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Notes
- 1.
this expression for a fundamental solution for the wave operator when \(n=1\) was first used by Jean d’Alembert in 1747 in connection with a vibrating string
- 2.
this expression was first found by Vito Volterra (cf. [79])
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Mitrea, D. (2018). The Wave Operator. In: Distributions, Partial Differential Equations, and Harmonic Analysis. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-030-03296-8_9
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DOI: https://doi.org/10.1007/978-3-030-03296-8_9
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