Publications

• Ananta K Majee, Nonlinear stochastic Laplace equation: Large deviation and measure concentration, Potential Analysis, accepted.

• Soumya Ranjan Behera and Ananta K. Majee, Homogeneous Dirichlet problem for degenerate parabolic-hyperbolic PDE driven by L\'evy noise, Journal of Dynamics and Differential Equations, 2025, accepted. 

• Soumya Ranjan Behera and Ananta K. Majee, Stochastic Fractional Conservation Laws: Large deviation principle, Central limit theorem and Moderate deviation principle,  Stochastics and Partial Differential Equations: Analysis and Computations 13 (2025), no. 3, 1361–1406.

• Kavin R and Ananta K. Majee,   L\'{e}vy driven stochastic heat equation with logarithmic nonlinearity: well-posedness and large deviation principle, Applied Mathematics and Optimization, 91 (2025), no. 2, Paper No. 51, 48 pp.

• Kavin R and Ananta K. Majee,  Nonlinear SPDE driven by L\'{e}vy noise: Well-posedness, optimal control and invariant measure, Journal of Evolution Equations, 25 (2025), no. 1, Paper No. 22, 37 pp.

•  Soumya Ranjan Behera and Ananta K. Majee, Convergence of a Operator Splitting Scheme for Fractional Conservation laws with L\'{e}vy Noise,  Computational Methods in Applied Mathematics, 25 (2025), no. 1, 1-37. 

•  Kavin R and Ananta K. Majee, Stochastic evolutionary p-Laplace equation: Large Deviation Principles and Transportation Cost Inequality, Journal of Mathematical Analysis and Applications, 536 (2024), no. 1, Paper No. 128163.

• Ananta K. Majee, Stochastic doubly nonliner PDE: Large deviation principle and existence of invariant measure, Potential Analysis,  60 (2024), no. 3, 1139–1179.

• Ananta K. Majee,  Stochastic optimal control of a doubly nonlinear PDE driven by multiplicative Le ́vy noise,  Applied Mathematics and Optimization, 87 (2023), no. 1, 7.  

• Xin An, Ananta K. Majee, Andreas Prohl and Thanh Tran,  Optimal control for a coupled spin-polarized current and magnetization system,  Advances in Computional Mathematics, 48 (2022), no. 3, Paper No. 28.

• Sudeb Majee, Rajendra K. Ray and Ananta K. Majee,  A New Non-linear Hyperbolic-parabolic Coupled PDE Model for Image Despeckling,   IEEE Transactions on Image Processing, vol. 31, pp. 1963-1977, 2022, doi: 10.1109/TIP.2022.3149230. 

• Sudeb Majee, Subit K. Jain, Rajendra K. Ray and Ananta K. Majee,   A Fuzzy Edge Detector Driven Telegraph Total Variation Model for Image Despeckling,   Inverse Problems and Imaging  Volume 16, No. 2 ( 2022), 367-396. 

• Ananta K. Majee and Andreas Prohl,  A posteriori Error Estimation and Space-time Adaptivity for a Linear Stochastic PDE with additive Noise,  IMA Journal of Numerical Analysis,   42 (2022), no. 2, 1526–1567.

• Sudeb Majee, Subit K. Jain, Rajendra K. Ray and Ananta K. Majee,  On the Development of a Coupled Non-linear Telegraph-Diffusion Model for Image Restoration, Computers and Mathematics with Applications 80(2020), 1745-1766.  

• Ananta K. Majee,  Stochastic Optimal Control of a Evolutionary p-Laplace equation with Multiplicative Le ́vy nois,  ESAIM: Control, Optimisation and Calculus of Variations  26 (2020), No. 100, 22 pp.  

• Sudeb Majee, Rajendra K. Ray and Ananta K. Majee,  A Gray Level Indicator-Based Regularized Telegraph Diffusion Model: Application to Image Despeckling,  SIAM Journal on Imaging Sciences (2020) 13(2) 844-870.  

• Max Jensen, Ananta K. Majee, Andreas Prohl and Christian Schellnegger,  Dynamic Programming for Finite Ensembles of Nanomagnetic Particles,  Journal of Scientific Computing 80 (2019), No.1, 351-375. 

• Thomas Dunst, Ananta K. Majee,  Andreas Prohl and Guy Vallet, Stochastic Optimal Control in Ferromagnetism,   Archive for Rational Mechanics and Analysis 233 (2019), No. 3, 1383-1440. 

• Imran H. Biswas, Ananta K. Majee and Guy Vallet,  On the Cauchy problem of a degenerate parabolic-hyperbolic PDE with Le ́vy noise,  Advances in Nonlinear Analysis 2019: 8(1), 809-844. 

• Ananta K. Majee,  Convergence of a flux-splitting finite volume scheme for conservation laws driven by Le ́vy noise,   Applied Mathematics and Computation 338 (2018), 676-697.  

• Ananta K. Majee and Andreas Prohl,  Optimal strong rates of convergence for a space-time discretization of the stochastic Allen-Cahn equation with multiplicative noise,  Computational Methods in Applied Mathematics 2018; 18(2): 297-311.   

• Ujjwal Koley, Ananta K. Majee and Guy Vallet,  A finite difference scheme for conservation laws driven by Le ́vy noise,  IMA Journal of Numerical Analysis (2018) 38, 998-1050.  

• Ujjwal Koley, Ananta K. Majee and Guy Vallet,  Continuous dependence estimate for a degenerate parabolic-hyperbolic equation with Le ́vy noise,  Stochastics and Partial Differential Equations: Analysis and Computations 5 (2017), No. 2, 145-191. 

• Imran H. Biswas, Ujjwal Koley and Ananta K. Majee,  Continuous dependence estimate for conservation laws with Le ́vy noise,  Journal of Differential Equations 259 (2015), 4683-4706. 

• Imran H. Biswas, Kenneth H. Karlsen and Ananta K. Majee,  Conservation laws driven by Le ́vy white noise,  Journal of Hyperbolic Differential Equation 12 (2015), No. 3, 581-654.  

• Imran H. Biswas and Ananta. K. Majee,  Stochastic conservation laws: Weak-in-time formulation and strong entropy condition,  Journal of Functional Analysis 267 (2014), 2199-2252. 

Submitted/Preprints 

• Soumya Ranjan Behera and Ananta K Majee,  Renormalized stochastic  entropy solution for degenerate parabolic-hyperbolic equations with L\'evy noise, submitted. 

• Soumya Ranjan Behera and Ananta K Majee,  Nonhomogeneous Dirichlet problem for degenerate parabolic-hyperbolic equation driven by L\'evy noise, submitted.