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We consider second order degenerate parabolic equations with real,measurable, and time-dependent coefficients. We allow for degenerateellipticity dictated by a spatial $A_2$-weight. We prove the existence of afundamental solution and derive Gaussian bounds. Our construction is based onthe original work of Kato \cite{Kato}.

On fundamental solutions and Gaussian bounds for degenerate parabolic equations with time-dependent coefficients