2007/08/08 by Simone Scotti, Scotti, Simone
Computer Science · Mathematics · #35K15 (Primary) #60J45 #65C20 (Secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics #Image and Signal Denoising Methods #Numerical methods in inverse problems #Probability (math.PR) #math.AP #math.PR #msc:35K15 #msc:60J45 #msc:65C20
paper · pdf · doi:10.48550/arxiv.0708.1073
17 pages, some misprints corrected
openalex publication_date 2007/08/08 · arxiv created 2007/09/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present an application of error theory using Dirichlet Forms in linear partial differential equations (LPDE). We study the transmission of an uncertainty on the terminal condition to the solution of the LPDE thanks to the decomposition of the solution on a wavelets basis. We analyze the basic properties and a particular class of LPDE where the wavelets bases show their powerful, the combination of error theory and wavelets basis justifies some hypotheses, helpful to simplify the computation.