most citedLocal well-posedness of subcritical non-linear heat equations with Gaussian initial data

1 citations · 1 across the 2 of their papers we have counts for

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2 papers

math.PR2026

Subcritical non-linear heat equations via spectral gap

Ilya Chevyrev, Hora Mirsajjadi

We establish local well-posedness for a class of non-linear heat equations on the torus whose highest order non-linearities have scaling-critical dimension $-1/k, \,…

math.PR2024★ 1 cited

Local well-posedness of subcritical non-linear heat equations with Gaussian initial data

Ilya Chevyrev, Hora Mirsajjadi

We show that any non-linear heat equation with scaling critical dimension is locally well-posed when its initial condition is taken as the Gaussian free field in fractional di…