DIFFERENTIAL EQUATIONS WITH COEFFICIENTS OF NEGATIVE DIFFERENTIAL DIMENSIONReport as inadecuate




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1 ICJ - Institut Camille Jordan Villeurbanne

Abstract : We prove well posedness for ordinary differential equations with coefficients in Banach valued Besov spaces B^s {p,q} 0, T, E with max{− 1-2 , 1-p − 1} < s < 0. In the linear case, a representation formula is given.

Keywords : Linear differential equations differential equations irregular coefficients Poincaré inequality well-posedness Cauchy-Lipschitz theorem Peano theorem fractional Besov spaces paraproduct





Author: Arnaud Heibig -

Source: https://hal.archives-ouvertes.fr/



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