Errors Theory using Dirichlet Forms, Linear Partial Differential Equations and Wavelets
Analysis of PDEs
2007-09-18 v2 Probability
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.
Cite
@article{arxiv.0708.1073,
title = {Errors Theory using Dirichlet Forms, Linear Partial Differential Equations and Wavelets},
author = {Simone Scotti},
journal= {arXiv preprint arXiv:0708.1073},
year = {2007}
}
Comments
17 pages, some misprints corrected