39 citations · 82 across the 20 of their papers we have counts for
14 papers · 1 filter
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…
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…
On the Development of a Coupled Non-linear Telegraph-Diffusion Model for Image Restoration
Sudeb Majee, Subit K. Jain, Rajendra K. Ray +1
In this work, we propose a telegraph coupled partial differential equation (TCPDE) based model for image restoration. New framework interpolates between a couple of non-linear tele…
Well-posedness study of a non-linear hyperbolic-parabolic coupled system applied to image speckle reduction
Sudeb Majee, Rajendra K. Ray, Ananta K. Majee
In this article, we consider a non-linear hyperbolic-parabolic coupled system based on telegraph diffusion framework applied to image despeckling. A separate equation is used to ca…
Stochastic optimal control of a evolutionary -Laplace equation with multiplicative Lévy noise
Ananta K. Majee
In this article, we are interested in an initial value optimal control problem for a evolutionary -Laplace equation driven by multiplicative Lévy noise. We first present wellpos…