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math.AP2024
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…
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…