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

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On the Splitting Method for Some Complex-Valued Quasilinear Evolution Equations. / Brzezniak, Zdzislaw; Millet, Annie.

In: Springer Proceedings in Mathematics and Statistics, Vol. 22 , 31.08.2012, p. 57-90.

Research output: Contribution to journalBook/Film/Article reviewpeer-review

Harvard

Brzezniak, Z & Millet, A 2012, 'On the Splitting Method for Some Complex-Valued Quasilinear Evolution Equations', Springer Proceedings in Mathematics and Statistics, vol. 22 , pp. 57-90. https://doi.org/10.1007/978-3-642-29982-7_3

APA

Brzezniak, Z., & Millet, A. (2012). On the Splitting Method for Some Complex-Valued Quasilinear Evolution Equations. Springer Proceedings in Mathematics and Statistics, 22 , 57-90. https://doi.org/10.1007/978-3-642-29982-7_3

Vancouver

Brzezniak Z, Millet A. On the Splitting Method for Some Complex-Valued Quasilinear Evolution Equations. Springer Proceedings in Mathematics and Statistics. 2012 Aug 31;22 :57-90. https://doi.org/10.1007/978-3-642-29982-7_3

Author

Brzezniak, Zdzislaw ; Millet, Annie. / On the Splitting Method for Some Complex-Valued Quasilinear Evolution Equations. In: Springer Proceedings in Mathematics and Statistics. 2012 ; Vol. 22 . pp. 57-90.

Bibtex - Download

@article{24e6d735480b4ddba0164406a4a4203b,
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, ",
year = "2012",
month = aug,
day = "31",
doi = "10.1007/978-3-642-29982-7_3",
language = "English",
volume = "22 ",
pages = "57--90",
journal = "Springer Proceedings in Mathematics and Statistics",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

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 - Book/Film/Article review

VL - 22

SP - 57

EP - 90

JO - Springer Proceedings in Mathematics and Statistics

JF - Springer Proceedings in Mathematics and Statistics

ER -