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Mathematics > Analysis of PDEs

arXiv:0708.1073 (math)
[Submitted on 8 Aug 2007 (v1), last revised 18 Sep 2007 (this version, v2)]

Title:Errors Theory using Dirichlet Forms, Linear Partial Differential Equations and Wavelets

Authors:Simone Scotti
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Abstract: 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.
Comments: 17 pages, some misprints corrected
Subjects: Analysis of PDEs (math.AP); Probability (math.PR)
MSC classes: 35K15 (Primary); 60J45, 65C20 (Secondary)
Cite as: arXiv:0708.1073 [math.AP]
  (or arXiv:0708.1073v2 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.0708.1073

Submission history

From: Simone Scotti [view email]
[v1] Wed, 8 Aug 2007 09:59:58 UTC (15 KB)
[v2] Tue, 18 Sep 2007 08:44:28 UTC (15 KB)
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