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Abstract: We study certain generalizations of the probabilistic representation for nonlinear equations given by Le Jan and Sznitman in their work on 3-d Navier-Stokes equations. In a very general setting, solutions of bilinear or multilinear equations can be produced by branching processes, nevertheless this fails if initial datas are not small. So a new resummed representation that achieves actually better behaviour than the former is considered. Existence of such representations for any initial data is ... (Update)
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BibTeX entry: (Update)
@misc{ morandin-new,
author = "F. Morandin",
title = "A New Branching Process Representation for Nonlinear Differential Equations",
url = "citeseer.ist.psu.edu/morandin02new.html" }
Citations (may not include all citations):1749 An introduction to probability theory and its applications (context) - Feller - 1971
79 The theory of branching processes (context) - Harris - 1963
8 Die Grundlehren der mathematischen Wissenschaften (context) - Athreya, Ney et al. - 1972
5 Stochastic cascades and 3-dimensional Navier-Stokes equation.. (context) - Le Jan, Sznitman - 1997
1 Probabilistic solution of Pauli type equations (context) - De Angelis, Jona-Lasinio et al. - 1983
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