Weighted Decay Estimates for the Wave Equation with Radially Symmetric Data

2005/03/31 by Paschalis Karageorgis, Karageorgis, Paschalis
Mathematics · #35B45 #35C15 #35L05 #35L15 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35B45 #msc:35C15 #msc:35L05 #msc:35L15

paper · pdf · doi:10.48550/arxiv.math/0503744

27 pages

arxiv created 2005/03/31 · arxiv updated 2009/12/01

Abstract

We study the homogeneous wave equation with radially symmetric data in four or higher space dimensions. Using some new integral representations for the Riemann operator, we establish weighted decay estimates for the solution.

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