Well-posedness of stochastic 2D hydrodynamics type systems with multiplicative Lévy noises-Reference-Cited by-同舟云学术

Well-posedness of stochastic 2D hydrodynamics type systems with multiplicative Lévy noises

Published:2022-01-01 Issue:none Volume:27 Page:
ISSN:1083-6489
Container-title:Electronic Journal of Probability
language:
Short-container-title:Electron. J. Probab.

Author:

Peng Xuhui¹,Yang Juan²,Zhai Jianliang³

Affiliation:

1. MOE-LCSM, School of Mathematics and Statistics, Hunan Normal University, Changsha, Hunan 410081, P. R. China

2. School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, P. R. China

3. Key Laboratory of Wu Wen-Tsun Mathematics, CAS, School of Mathematical Science, University of Science and Technology of China, Hefei 230026, P. R. China

Publisher

Institute of Mathematical Statistics

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference43 articles.

1. Basse-O’Connor, A. and Rosiński, J.: On the uniform convergence of random series in Skorohod space and representations of $\mathrm{c}\grave{a}\mathrm{dl}\grave{a}\mathrm{g}$ infinitely divisible processes. Ann. Probab. 41, (2013), 4317–4341.

2. Bessaih, H., Hausenblas, E. and Razafimandimby, P. A.: Strong solutions to stochastic hydrodynamical systems with multiplicative noise of jump type. Nonlinear Differ. Equ. Appl. 22, (2014), 1–37.

3. Bichteler, K.: Stochastic integration with jumps. Encyclopedia of Mathematics and its Applications, 89. Cambridge University Press, Cambridge, 2002. xiv+501 pp.

4. Bouard, A. D. and Debussche, A.: A stochastic nonlinear Schrödinger equation with multiplicative noise. Commun. Math. Phys. 205, (1999), 161–181.

5. Bouard, A. D. and Debussche, A.: The stochastic nonlinear Schrödinger equation in ${H^{1}}$ . Stoch. Anal. Appl. 21, (2003), 97–126.

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Wong–Zakai Approximation for a Class of SPDEs with Fully Local Monotone Coefficients and Its Application;Journal of Mathematical Fluid Mechanics;2024-05-17

2. Well-posedness of a class of stochastic partial differential equations with fully monotone coefficients perturbed by Lévy noise;Analysis and Mathematical Physics;2024-04-15

3. The Effects of Nonlinear Noise on the Fractional Schrödinger Equation;Fractal and Fractional;2023-12-26