The PDF file you selected should load here if your Web browser has a PDF reader plug-in installed (for example, a recent version of Adobe Acrobat Reader).

Alternatively, you can also download the PDF file directly to your computer, from where it can be opened using a PDF reader. To download the PDF, click the Download link below.

If you would like more information about how to print, save, and work with PDFs, Highwire Press provides a helpful Frequently Asked Questions about PDFs.

Download this PDF file Fullscreen Fullscreen Off

References

  1. E. Alos, O. Mazet and D. Nualart. Stochastic calculus with respect to Gaussian processes. Ann. Probab. 29 (2001), 766--801. Math. Review 2002g:60083
  2. A. de Bouard and A. Debussche. The Stochastic Nonlinear Schrodinger Equation in H1. Stoch. Anal. Appl. 21 (2003), 97--126. Math. Review 2003k:60153
  3. A. de Bouard and A. Debussche. On the effect of a noise on the solutions of the focusing supercritical nonlinear Schrodinger equation. Probab. Theory Related Fields 123 (2002), 76--96. Math. Review 2003m:60164
  4. G. Da Prato and J. Zabczyk. Stochastic Equations in Infinite Dimensions. Encyclopedia of Mathematics and its Applications (1992) Cambridge University Press: Cambridge, England. Math. Review 95g:60073
  5. L. Decreusefond and A. Ustunel. Stochastic analysis of the fractional Brownian motion. Potential Anal. 10 (1999), 177--214. Math. Review 2000b:60133
  6. A. Debussche and E. Gautier. Small noise asymptotic of the timing jitter in soliton transmission. Preprint, Archive: math.PR/0609434
  7. E. Gautier. Large deviations and support results for nonlinear Schrodinger equations with additive noise and applications. ESAIM Probab. Stat. 9 (2005), 74--97. Math. Review 2006b:60139
  8. E. Gautier. Uniform large deviations for the nonlinear Schrodinger equation with multiplicative noise. Stochastic Process. Appl. 115 (2005), 1904--1927. Math. Review 2006h:60046
  9. E. Gautier. Exit from a neighborhood of zero for weakly damped stochastic nonlinear Schrodinger equations. To appear in Ann. Probab., Archive: math.NA/0602350
  10. C. Sulem and P.L. Sulem. The Nonlinear Schrodinger Equation, Self-Focusing and Wave Collapse. Appli. Math. Sci. 139 (1999) Springer-Verlag: New York. Math. Review 2000f:35139
  11. S. Tindel, C.A. Tudor and F. Viens. Stochastic evolution equations with fractional Brownian motion. Probab. Theory Related Fields 127 (2003) Springer-Verlag: New York. Math. Review 2004k:60180


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.