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math.PR2026
Local linearization for the nonlinear damped stochastic Klein-Gordon equation
Guanglin Rang, Ran Wang
For the dimensional nonlinear damped stochastic Klein-Gordon equation driven by space-time white noise, we prove that the second-order increments of the solution can be appro…
math.PR2025
Local linearization for estimating the diffusion parameter of nonlinear stochastic wave equations with spatially correlated noise
Guoping Liu, Ran Wang
We study the bi-parameter local linearization of the one-dimensional nonlinear stochastic wave equation driven by a Gaussian noise, which is white in time and has a spatially homog…