The stochastic Burgers equation with additive Hermite sheet noise admits a unique mild solution that is Hölder continuous in time and space with exponents from the Hurst parameters and inherits anisotropic self-similarity.
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Stochastic Burgers Equation Driven by a Hermite Sheet with Additive Noise: Existence, Uniqueness, and Regularity
The stochastic Burgers equation with additive Hermite sheet noise admits a unique mild solution that is Hölder continuous in time and space with exponents from the Hurst parameters and inherits anisotropic self-similarity.