Summary
We obtain some new existence, uniqueness and stability results for ordinary differential equations with coefficients in Sobolev spaces. These results are deduced from corresponding results on linear transport equations which are analyzed by the method of renormalized solutions.
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DiPerna, R.J., Lions, P.L.: In preparation, see also in Séminaire EDP, Ecole Polytechnique, 1988–89, Palaiseau
DiPerna, R.J., Lions, P.L.: In preparation, see also in Séminaire EDP, Ecole Polytechnique, 1988–89, Palaiseau
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DiPerna, R.J., Lions, P.L. Ordinary differential equations, transport theory and Sobolev spaces. Invent Math 98, 511–547 (1989). https://doi.org/10.1007/BF01393835
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DOI: https://doi.org/10.1007/BF01393835