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$L^\infty$-estimates for parabolic systems with VMO-coefficients

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  • In this paper we prove $L^\infty$-a priori estimates for parabolic evolution equations in non-divergence form on all of $\R^n$ for bounded coefficients having only vanishing mean oscillation, thus allowing in particular non continuous coefficients.
    Mathematics Subject Classification: 35J45, 35K55.

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