Analytical expansions for parabolic equations

We consider the Cauchy problem associated with a general parabolic partial differential equation in $d$ dimensions. We find a family of closed-form asymptotic approximations for the unique classical solution of this equation as well as rigorous short-time error estimates. Using a boot-strapping technique, we also provide convergence results for arbitrarily large time intervals.

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Year of publication:	2013-12
Authors:	Lorig, Matthew ; Pagliarani, Stefano ; Pascucci, Andrea
Institutions:	arXiv.org

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Extent:	application/pdf
Series:	Papers.
Type of publication:	Book / Working Paper
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011086438