On the Splitting Method for Some Complex-Valued Quasilinear Evolution Equations

Zdzislaw Brzezniak; Annie Millet

doi:10.1007/978-3-642-29982-7_3

On the Splitting Method for Some Complex-Valued Quasilinear Evolution Equations

Zdzislaw Brzezniak, Annie Millet

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Using the approach of the splitting method developed by I. Gy\"ongy and N. Krylov for parabolic quasi linear equations, we study the speed of convergence for general complex-valued stochastic evolution equations. The approximation is given in general Sobolev spaces and the model considered here contains both the parabolic quasi-linear equations under some (non strict) stochastic parabolicity condition as well as linear Schr\"odinger equations

Original language	English
Title of host publication	Stochastic Analysis and Related Topics
Subtitle of host publication	In Honour of Ali Süleyman Üstünel, Paris, June 2010
Place of Publication	Heidelberg
Pages	57-90
Volume	22
Edition	1
ISBN (Electronic)	978-3-642-29982-7
DOIs	https://doi.org/10.1007/978-3-642-29982-7_3
Publication status	Published - 31 Aug 2012

Publication series

Name	Springer Proceedings in Mathematics and Statistics

Bibliographical note

9th Workshop on Stochastic Analysis and Related Topics (in Honour of Ali Süleyman Üstünel, Paris June 2010), Springer Proceedings in Mathematics and Statistics, Vol. 22, August 2012,

Access to Document

10.1007/978-3-642-29982-7_3

Cite this

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title = "On the Splitting Method for Some Complex-Valued Quasilinear Evolution Equations",

abstract = "Using the approach of the splitting method developed by I. Gy\{"}ongy and N. Krylov for parabolic quasi linear equations, we study the speed of convergence for general complex-valued stochastic evolution equations. The approximation is given in general Sobolev spaces and the model considered here contains both the parabolic quasi-linear equations under some (non strict) stochastic parabolicity condition as well as linear Schr\{"}odinger equations ",

author = "Zdzislaw Brzezniak and Annie Millet",

note = "9th Workshop on Stochastic Analysis and Related Topics (in Honour of Ali S{\"u}leyman {\"U}st{\"u}nel, Paris June 2010), Springer Proceedings in Mathematics and Statistics, Vol. 22, August 2012, ",

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doi = "10.1007/978-3-642-29982-7_3",

language = "English",

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On the Splitting Method for Some Complex-Valued Quasilinear Evolution Equations. / Brzezniak, Zdzislaw; Millet, Annie.
Stochastic Analysis and Related Topics: In Honour of Ali Süleyman Üstünel, Paris, June 2010. Vol. 22 1. ed. Heidelberg, 2012. p. 57-90 (Springer Proceedings in Mathematics and Statistics).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - On the Splitting Method for Some Complex-Valued Quasilinear Evolution Equations

AU - Brzezniak, Zdzislaw

AU - Millet, Annie

N1 - 9th Workshop on Stochastic Analysis and Related Topics (in Honour of Ali Süleyman Üstünel, Paris June 2010), Springer Proceedings in Mathematics and Statistics, Vol. 22, August 2012,

PY - 2012/8/31

Y1 - 2012/8/31

N2 - Using the approach of the splitting method developed by I. Gy\"ongy and N. Krylov for parabolic quasi linear equations, we study the speed of convergence for general complex-valued stochastic evolution equations. The approximation is given in general Sobolev spaces and the model considered here contains both the parabolic quasi-linear equations under some (non strict) stochastic parabolicity condition as well as linear Schr\"odinger equations

AB - Using the approach of the splitting method developed by I. Gy\"ongy and N. Krylov for parabolic quasi linear equations, we study the speed of convergence for general complex-valued stochastic evolution equations. The approximation is given in general Sobolev spaces and the model considered here contains both the parabolic quasi-linear equations under some (non strict) stochastic parabolicity condition as well as linear Schr\"odinger equations

U2 - 10.1007/978-3-642-29982-7_3

DO - 10.1007/978-3-642-29982-7_3

M3 - Conference contribution

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VL - 22

T3 - Springer Proceedings in Mathematics and Statistics

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EP - 90

BT - Stochastic Analysis and Related Topics

CY - Heidelberg

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