Characterization of the homogeneous polynomials \(P\) for which \((P+Q)(D)\) admits a continuous linear right inverse for all lower order perturbations \(Q\).

DOI10.2140/pjm.2000.192.201zbMath1071.47512OpenAlexW2087093050MaRDI QIDQ1568934

Rüdiger W. Braun, Reinhold Meise, B. Alan Taylor

Publication date: 22 June 2000

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2000.192.201

zbMATH Keywords

homogeneous polynomialspartial differential operatorprincipal typecontinuous linear right inversePhragmén-Lindelöf estimateselliptic factor

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) General theory of PDEs and systems of PDEs with constant coefficients (35E20) Banach spaces of continuous, differentiable or analytic functions (46E15)

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Parameter dependence of solutions of differential equations on spaces of distributions and the splitting of short exact sequences

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