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math.PR2024
Blow-up of stochastic semilinear parabolic equations driven by Lévy noise
Manil T. Mohan, S. Pradeep, S. Sankar +1
The blow-up phenomena of stochastic semilinear parabolic equations with additive as well as linear multiplicative Lévy noises are investigated in this work. By suitably modifying t…
math.PR2023
Global existence and non-existence of weak solutions for non-local stochastic semilinear reaction-diffusion equations driven by a fractional noise
S. Sankar, Manil T. Mohan, S. Karthikeyan
In the present paper, we study the existence and blow-up behavior to the following stochastic non-local reaction-diffusion equation: \begin{equation*} \left\{ \begin{aligned} du(t,…
math.PR2022
Blow-up estimates for a system of semilinear SPDEs driven by mixed fractional Brownian motions
S. Sankar, Manil T. Mohan, S. Karthikeyan
In this paper, we obtain the existence and finite-time blow-up for the solution to a system of semilinear stochastic partial differential equations driven by a combination of Brown…