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

@inproceedings{Scotti2007ErrorsTU, title={Errors Theory using Dirichlet Forms, Linear Partial Differential Equations and Wavelets}, author={Simone Scotti}, year={2007} }

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.

#### One Citation

Some Historical Aspects of Error Calculus by Dirichlet Forms

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We discuss the main stages of development of the error calculation since the beginning of XIX-th century by insisting on what prefigures the use of Dirichlet forms and emphasizing the mathematical… Expand

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