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math.PR2025
Blowup for the multiplicative stochastic heat equation with superlinear drift
Mathew Joseph, Shubham Ovhal
We consider the stochastic heat equation with multiplicative white noise: , both on and . In the case of $[0,1]…
math.PR2025
Instantaneous blowup for interacting SDEs with superlinear drift
Mathew Joseph, Shubham Ovhal
We consider a system of interacting SDEs on the integer lattice with multiplicative noise and a drift satisfying the finite Osgood's condition. We show instantaneous everywhere blo…