2007/10/31 by James D. E. Grant, James D.E. Grant, Eberhard Mayerhofer +1
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Algebraic and Geometric Analysis #Bounded function #Class (philosophy) #Complex system #Heat equation #Mathematical and Theoretical Analysis #Nonlinear system #Partial differential equation #Space (punctuation) #Wave equation #gr-qc #math-ph #math.AP #math.MP #msc:35D05 #msc:35Q75 #msc:46F30 #msc:83C75
paper · pdf · doi:10.1007/s00220-008-0549-7
published as Commun. Math. Phys. 285, 399-420 (2009) · Latex, 19 pages, 1 figure. Discussion of class of metrics covered by our results and some examples added. Conclusion more detailed. Version to appear in Communications in Mathematical Physics
arxiv created 2008/02/19 · openalex publication_date 2008/07/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.