Well-posedness and the small time large deviations of the stochastic integrable equation governing short-waves in a long-wave model

DOI10.1016/j.nonrwa.2015.10.009zbMath1382.35344OpenAlexW2174962175MaRDI QIDQ899618

Lili Fan, Yong Chen, Hong-Jun Gao

Publication date: 30 December 2015

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2015.10.009

zbMATH Keywords

regulationwell-posednesslarge deviationstrilinear estimatestochastic integrable equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Large deviations (60F10) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

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Well-posedness and large deviations of the stochastic modified Camassa-Holm equation, The Hunter-Saxton equation with noise, Well-posedness and blow-up solution for the stochastic Dullin-Gottwald-Holm equation, Small time asymptotics for SPDEs with locally monotone coefficients

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