ct 2 00 7 The wave equation on singular space - times
نویسندگان
چکیده
We prove local unique solvability of the wave equation for a large class of weakly singular, locally bounded space-time metrics in a suitable space of generalised functions.
منابع مشابه
ar X iv : 0 71 0 . 20 07 v 2 [ m at h - ph ] 1 9 Fe b 20 08 The wave equation on singular space - times
We prove local unique solvability of the wave equation for a large class of weakly singular, locally bounded space-time metrics in a suitable space of generalised functions.
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A simple method for solving Prandtl's integro-differential equation is proposed based on a new reproducing kernel space. Using a transformation and modifying the traditional reproducing kernel method, the singular term is removed and the analytical representation of the exact solution is obtained in the form of series in the new reproducing kernel space. Compared with known investigations, its ...
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تاریخ انتشار 2008