most citedStochastic Fractional Conservation Laws: Large deviation principle, Central limit theorem and Moderate deviation principle

2 citations · 4 across the 5 of their papers we have counts for

collaborators

5 papers

math.PR2024

Nonlinear stochastic Laplace equation: Large Deviations and Measure Concentration

Ananta K Majee

In this paper, a large deviation principle for the strong solution of the p-Laplace equation on unbounded domain driven by small multiplicative Brownian noise is established. The w…

math.AP2024

Homogeneous Dirichlet problem for degenerate parabolic-hyperbolic PDE driven by Levy noise

Soumya Ranjan Behera, Ananta K Majee

In this article, we study the homogeneous Dirichlet problem for a degenerate parabolic-hyperbolic PDE perturbed by Levy noise. In particular, we develop the well-posedness theory o…

math.AP2024

Renormalized stochastic entropy solution for degenerate parabolic-hyperbolic equations with Levy noise

Soumya Ranjan Behera, Ananta K Majee

In this article, we establish the well-posedness theory for renormalized entropy solutions of a degenerate parabolic-hyperbolic PDE perturbed by a multiplicative Levy noise with ge…

math.PR20232 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.PR20232 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…