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20162026
most citedStochastic Porous Media Equation on General Measure Spaces with Increasing Lipschitz Nonlinearties

1 citations · 1 across the 9 of their papers we have counts for

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9 papers

math.PR2026

Stochastic curve shortening flow driven by a transport-type pure jump Lévy noise

Xiaotian Ge, Shijie Shang, Weina Wu +1

We study the existence and uniqueness, the regularity, and the long-time behavior of strong solutions to stochastic curve shortening flow driven by a transport-type pure jump Lévy…

math.PR2024

SVI solutions to stochastic nonlinear diffusion equations on general measure spaces

Benjamin Gess, Michael Röckner, Weina Wu

We establish a framework for the existence and uniqueness of solutions to stochastic nonlinear (possibly multi-valued) diffusion equations driven by multiplicative noise, with the…

math.PR2024

Large deviations for locally monotone stochastic partial differential equations driven by Lévy noise

Weina Wu, Jianliang Zhai, Jiahui Zhu

We establish a Freidlin-Wentzell type large deviation principle (LDP) for a class of stochastic partial differential equations with locally monotone coefficients driven by Lévy noi…

nlin.PS2023

New Exact Solutions Of General Degasperis-Procesi Equations In Plasmas

Bingnuo Yang, Weinan Wu, Hongfeng Yu +1

In this paper, a new exact solution of general Degasperis-Procesi (gDP) equation, a nonlinear equation in plasma, will be constructed by using PPA method, extended trigonometry and…

math.PR2022

Large Deviations for Stochastic Generalized Porous Media Equations driven by Lévy Noise

Weina Wu, Jianliang Zhai

We establish a large deviation principle (LDP) for a class of stochastic porous media equations driven by Lévy-type noise on a -finite measure space , with…

math.PR2021

Stochastic Generalized Porous Media Equations over -finite Measure Spaces with Non-Continuous Diffusivity Function

Michael Röckner, Weina Wu, Yingchao Xie

In this paper, we prove that stochastic porous media equations over -finite measure spaces , driven by time-dependent multiplicative noise, with the Laplacian…

math.PR2020

Stochastic generalized porous media equations driven by Lévy noise with increasing Lipschitz nonlinearities

Weina Wu, Jianliang Zhai

We establish the existence and uniqueness of strong solutions to stochastic porous media equations driven by Lévy noise on a -finite measure space , and wi…

math.PR2019

Large Deviations for Stochastic Porous Media Equation on General Measure Spaces

Weina Wu, Jianliang Zhai

In this paper, we establish the large deviation principles for stochastic porous media equations driven by time-dependent multiplicative noise on -finite measure space $(E,\math…

math.PR2016★ 1 cited

Stochastic Porous Media Equation on General Measure Spaces with Increasing Lipschitz Nonlinearties

Michael Röckner, Weina Wu, Yingchao Xie

We prove the existence and uniqueness of probabilistically strong solutions to stochastic porous media equations driven by time-dependent multiplicative noise on a general measure…