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Characterization of
the homogeneous polynomials P
for which (P + Q)(D) admits a
continuous linear right inverse for all lower order
perturbations Q
Rüdiger W. Braun, Reinhold Meise and B.A. Taylor |
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Vol. 192 (2000), No. 2, 201–218
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Abstract |
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Those homogeneous polynomials P are characterized for which for arbitrary lower order polynomials Q the partial differential operator (P + Q)(D) admits a continuous linear right inverse if regarded as an operator from the space of all C∞-functions on ℝn into itself. It is shown that P has this property if and only if P is of principal type and real up to a complex constant and has no elliptic factor. |
Milestones
Received: 4 June 1998
Published: 1 February 2000
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Authors |
| Rüdiger W. Braun | |
| Mathematisches Institut Heinrich-Heine-Universität Universitätsstraße 1 40225 Düsseldorf Germany |
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| Reinhold Meise | |
| Mathematisches Institut Heinrich-Heine-Universität Universitätsstraße 1 40225 Düsseldorf Germany |
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| B.A. Taylor | |
| Department of Mathematics University of Michigan Ann Arbor, MI 48109 |
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