A Graphical Representation of the Truncated Moment of the Solution of a Nonlinear SPDE

Boubaker Smii; Dhaker Kroumi

doi:10.28924/2291-8639-21-2023-132

A Graphical Representation of the Truncated Moment of the Solution of a Nonlinear SPDE

Boubaker Smii^*
, Dhaker Kroumi

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We consider a stochastic partial differential equation driven by a Lévy type noise (SPDE). Particular attention is given to the correlation function which measures the moments of the solution. Using the Feynman graph formalism, the solution of the SPDE as well as its truncated moments are given as a sum over specific graphs that are evaluated according to some rules. A remark on some applications will be given at the end of this work.

Original language	English
Article number	132
Journal	International Journal of Analysis and Applications
Volume	21
DOIs	https://doi.org/10.28924/2291-8639-21-2023-132
State	Published - 2023

Bibliographical note

Publisher Copyright:
© 2023 the author(s).

Keywords

Feynman graphs
Green functions
Lévy noise
SPDEs

ASJC Scopus subject areas

Analysis
Business and International Management
Geometry and Topology
Applied Mathematics

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10.28924/2291-8639-21-2023-132

Cite this

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abstract = "We consider a stochastic partial differential equation driven by a L{\'e}vy type noise (SPDE). Particular attention is given to the correlation function which measures the moments of the solution. Using the Feynman graph formalism, the solution of the SPDE as well as its truncated moments are given as a sum over specific graphs that are evaluated according to some rules. A remark on some applications will be given at the end of this work.",

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AB - We consider a stochastic partial differential equation driven by a Lévy type noise (SPDE). Particular attention is given to the correlation function which measures the moments of the solution. Using the Feynman graph formalism, the solution of the SPDE as well as its truncated moments are given as a sum over specific graphs that are evaluated according to some rules. A remark on some applications will be given at the end of this work.

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KW - Green functions

KW - Lévy noise

KW - SPDEs

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ER -

A Graphical Representation of the Truncated Moment of the Solution of a Nonlinear SPDE

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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