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Results of Hörmander on evolution operators together with a characterization of the present authors [Ann. Inst. Fourier, Grenoble 40, 619 – 655 (1990)] are used to prove the following: Let and denote by its principal part. If is dominated by then the following assertions for the partial differential operators and are equivalent for :¶¶(1)  and/or admit a continuous linear right inverse on .¶(2)  admits a continuous linear right inverse on and a fundamental solution satisfying Supp ,¶where 0} $]]>

Right inverses for linear, constant coefficient partial differential operators on distributions over open half spaces