Large deviations for stochastic reaction-diffusion systems with multiplicative noise and non-Lipshitz reaction term

By Sandra Cerrai, Michael Röckner. 2004

171 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Finance, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/5626a21ff189414a894e9cc7492a9d24e67d1246

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Xicheng Zhang
2. Wei Liu
3. Tusheng Zhang
4. Michael Röckner
5. Annie Millet
6. Igor D. Chueshov
7. Jiagang Ren
8. Sandra Cerrai

In Finance

1. Wei Liu
2. Michael Röckner
3. Tusheng Zhang
4. Xicheng Zhang
5. Annie Millet
6. Igor D. Chueshov
7. Jiagang Ren
8. Jinqiao Duan

In Mathematical Physics

1. Wei Liu
2. Tusheng Zhang
3. Xicheng Zhang
4. Annie Millet
5. Michael Röckner
6. Jinqiao Duan
7. Igor D. Chueshov
8. Jiagang Ren

Citations in the corpus

• Large deviations for the Boussinesq equations under random influences (2008, methodology): “In various papers about large deviation principle (LDP) for solutions uε to SPDEs or to evolution equations in a semi-linear framework [3, 5, 4, 6, 14, 15, 18, 21, 26], the strategy used is similar to the classical one for diffusion processes.”
• Large Deviations for Stochastic Tamed 3D Navier-Stokes Equations (2010, unknown): “For example, a large deviation principle (LDP) for stochastic reaction diffusion equations with non-Lipschitz reaction term was established by Cerrai and Rockner in [ 7 ].”
• A Moderate Deviation Principle for 2-D Stochastic Navier-Stokes Equations Driven by Multiplicative L\'evy Noises (2015, background): “Large deviations for stochastic partial differential equations have been investigated in many papers, see [5], [6], [15], [19], etc.”
• Large Deviations for Stochastic Evolution Equations with Small Multiplicative Noise (2008, methodology): “For the case of local Lipschitz conditions we refer to [10] where also multiplicative and degenerate noise is handled.”
• Stochastic Evolution Equations of Jump Type: Existence, Uniqueness and Large Deviation Principles (2007, background): “Large deviations for stochastic evolution equations and stochastic partial dierential equations have been investigated in many papers, see e.g. [CM2],[ CR ], [CW], [Z].”
• Stochastic 2D Hydrodynamical Type Systems: Well Posedness and Large Deviations (2008, result): “We also refer to [6] for large deviation results for evolution equations in the case on non-Lipschitz coefficients.”
• Stabilization by noise for a class of stochastic reaction-diffusion equations (2005, background): “But unfortunately it has not been possible to prove that such an invariant measure is unique, without assuming a strong enough dissipativity of the reaction term (to this purpose see also [8] and [7]).”
• Freidlin-Wentzell's Large Deviations for Stochastic Evolution Equations (2008, background): “In the past two decades, there are numerous results about the LDP for stochastic partial differential equations(SPDE) (cf. [29, 10, 20, 16, 7 , 12, 6], etc.).”
• A moderate deviation principle for 2-D stochastic Navier-Stokes equations (2015, background): “Large deviations for stochastic partial differential equations have been investigated in many papers, see [5], [6], [15], [19], etc.”