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arxiv: 1809.10096 · v1 · pith:4VT7WIWZnew · submitted 2018-09-26 · 🧮 math.PR

Joint H\"older continuity of parabolic Anderson model

classification 🧮 math.PR
keywords andersonolderparaboliccontinuitycontinuousdeltadiamondequation
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We show that the random field solution to the parabolic Anderson equation $(\partial_t-\frac12 \Delta)u=u\diamond \dot{W}$ is jointly H\"older continuous in space and time.

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