39 citations · 82 across the 20 of their papers we have counts for
25 papers
Levy driven stochastic heat equation with logarithmic nonlinearity: Well-posedness and Large deviation principle
Kavin R, Ananta K Majee
In this article, we study the well-posedness theory for solutions of the stochastic heat equations with logarithmic nonlinearity perturbed by multiplicative Levy noise. By using Al…
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…
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…
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…
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…
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…