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math.PR2023★ 2 cited
Nonlinear SPDE driven by Levy noise: Well-posedness, optimal control and invariant measure
Kavin R, Ananta K. Majee
In this article, we study a nonlinear stochastic control problem perturbed by multiplicative Levy noise, where the nonlinear operator in divergence form satisfies p type growth wit…
math.PR2023★ 2 cited
Stochastic Fractional Conservation Laws: Large deviation principle, Central limit theorem and Moderate deviation principle
Soumya Ranjan Behera, Ananta K. Majee
In this article, we establish the Freidlin-Wentzell type large deviation principle and central limit theorem for stochastic fractional conservation laws with small multiplicative n…