2 problems

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Explosion criterion and strong law for reflected Brownian motion in generalized parabolic domains
Let $Z_t$ be reflected Brownian motion in the generalized parabolic domain ${\mathcal D}$ , let $X_t$ denote its horizontal coordinate, and define … where $b$ describes the domain's…
Conjectureopenexplosion reflected-brownian-motion stochastic-processesarXiv posted 2 days ago
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Non-explosion conjecture for the remaining power-law regime
Non-explosion conjecture. In this regime, solutions cannot explode in finite time.
Conjectureopenexplosion stochastic-heat-equation stochastic-reaction-diffusionarXiv posted 2 days ago

Explosion criterion and strong law for reflected Brownian motion in generalized parabolic domains