Ullrich, Peter (2007) Uniqueness in the characteristic Cauchy problem of the Klein-Gordon equation and tame restrictions of generalized functions. MATHEMATISCHE ZEITSCHRIFT, 255 (4). pp. 827-846. ISSN 0025-5874,
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We show that every tempered distribution, which is a solution of the (homogenous) Klein-Gordon equation, admits a "tame" restriction to the characteristic (hyper)surface {x(0) + x(n)p = 0} in (1 + n)-dimensional Minkowski space and is uniquely determined by this restriction. The restriction belongs to the space S'(partial derivative)_ (R-n) which we have introduced in (Ullrich in J. Math. Phys. 45, 2004). Moreover, we show that every element of S'(partial derivative)_ (R-n) appears as the "tame" restriction of a solution of the (homogeneous) Klein-Gordon equation.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | FIELD; QUANTIZATION; SCALAR; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Experimental and Applied Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 21 Dec 2020 07:38 |
| Last Modified: | 21 Dec 2020 07:38 |
| URI: | https://pred.uni-regensburg.de/id/eprint/32982 |
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