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Degenerate parabolic equations in divergence form: fundamental solution and Gaussian bounds

Baadi, Khalid
arXiv (All) · Papers
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analysis-of-pdesclassical-analysis-and-odesfunctional-analysisprimary
In this paper, we consider second order degenerate parabolic equations with complex, measurable, and time-dependent coefficients. The degenerate ellipticity is dictated by a spatial $A_2$-weight. We prove that having a generalized fundamental solution with upper Gaussian bounds is equivalent to Mose
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