Nonuniqueness for nonnegative solutions of parabolic stochastic partial differential equations

Pathwise non-uniqueness is established for non-negative solutions of the parabolic stochastic pde $$\frac{\partial X}{\partial t}=\frac{\Delta}{2}X+X^p\dot W+\psi,\ X_0\equiv 0$$ where $\dot W$ is a white noise, $\psi\ge 0$ is smooth, compactly supported and non-trivial, and $0

Keywords:

• Stochastic partial differential equation
• Mathematics
• Topology
• Mathematical analysis
• Parabola
• White noise
• non uniqueness

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