Uniqueness in the Characteristic Cauchy Problem of the Klein-Gordon Equation and Tame Restrictions of Generalized Functions

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dc.creatorUllrich, Peter
dc.date2004-08-12
dc.date.accessioned2026-07-07T04:31:24Z
dc.date.available2026-07-07T04:31:24Z
dc.descriptionWe show that every tempered distribution, which is a solution of the (homogenous) Klein-Gordon equation, admits a ``tame'' restriction to the characteristic (hyper)surface $\{x^0+x^n=0\}$ in $(1+n)$-dimensional Minkowski space and is uniquely determined by this restriction. The restriction belongs to the space $\cS'_{\partial_-}(\R^n)$ which we have introduced in \cite{PullJMP}. Moreover, we show that every element of $\cS'_{\partial_-}(\R^n)$ appears as the ``tame'' restriction of a solution of the (homogeneous) Klein-Gordon equation.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0408022
dc.identifierhttp://arxiv.org/abs/math-ph/0408022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57799
dc.subjectMathematical Physics
dc.subject35L15; 35D05
dc.titleUniqueness in the Characteristic Cauchy Problem of the Klein-Gordon Equation and Tame Restrictions of Generalized Functions
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