Some results on surjectivity of augmented differential operators

DOI10.1016/J.JMAA.2011.07.049zbMath1248.35044OpenAlexW1997442742MaRDI QIDQ640952

Thomas Kalmes

Publication date: 21 October 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.07.049

zbMATH Keywords

convexity conditionspropagation of singularitiescharacteristic hyperplaneslinear partial differential operator

Mathematics Subject Classification ID

General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) General theory of PDEs and systems of PDEs with constant coefficients (35E20) Topological invariants ((DN), ((Omega)), etc.) for locally convex spaces (46A63)

Related Items (2)

Linear topological invariants for kernels of convolution and differential operators ⋮ Surjectivity of differential operators and linear topological invariants for spaces of zero solutions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Surjectivity of partial differential operators with good fundamental solutions
• Every \(P\)-convex subset of \({\mathbb{R}^2}\) is already strongly \(P\)-convex
• Parameter dependence of solutions of differential equations on spaces of distributions and the splitting of short exact sequences
• Characterization of the linear partial differential operators with constant coefficients that admit a continuous linear right inverse
• On the range of convolution operators
• Ultradifferentiable functions and Fourier analysis
• Inheritance of surjectivity for partial differential operators on spaces of real analytic functions
• Some results on surjectivity of augmented semi-elliptic differential operators
• The augmented operator of a surjective partial differential operator with constant coefficients need not be surjective
• Surjectivity of partial differential operators on ultradistributions of Beurling type in two dimensions
• Characterization of surjective partial differential operators on spaces of real analytic functions

This page was built for publication: Some results on surjectivity of augmented differential operators