Hypoelliptic overdetermined systems of partial differential equation
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Publication:3876315
DOI10.1080/0360530800882142zbMath0436.35024OpenAlexW2026313543MaRDI QIDQ3876315
Publication date: 1980
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/0360530800882142
Pseudodifferential operators as generalizations of partial differential operators (35S05) Hypoelliptic equations (35H10) Overdetermined problems for partial differential equations and systems of partial differential equations (35N99)
Related Items (15)
On Microlocal Regularity for Involutive Systems of Complex Vector Fields of Tube Type in $${\mathbb {R}}^{n+m}$$ ⋮ Gevrey vectors in involutive tube structures and Gevrey regularity for the solutions of certain classes of semilinear systems ⋮ Global solvability of real analytic involutive systems on compact manifolds ⋮ Hypoellipticity for certain systems of complex vector fields ⋮ Régularité optimale des solutions de systèmes différentiels et du Laplacian associé; application ⋮ On some systems of real or complex vector fields and their related Laplacians ⋮ The Hartogs property for tube structures ⋮ Global solvability of real analytic involutive systems on compact manifolds. Part 2 ⋮ Domains with maximal estimate. ⋮ Estimations along components for the \(\bar{\partial}\)-Neumann problem for some classes of pseudoconvex domains in \(\mathbb{C}^ n\). ⋮ Subelliptic estimates for some systems of complex vector fields: Quasihomogeneous case ⋮ Global hypoellipticity for a class of overdetermined systems of pseudo-differential operators on the torus ⋮ Partial hypoellipticity for a class of abstract differential complexes on Banach space scales ⋮ Subellipticity of some complex vector fields related to the Witten Laplacian ⋮ Hypoellipticity of a system of complex vector fields
Cites Work
- Sur les exposants de Lojasiewicz
- Study of a model in the theory of complexes of pseudodifferential operators
- Pseudo-differential operators and non-elliptic boundary problems
- Hypoelliptic operators with double characteristics and related pseudo-differential operators
- On local solvability of linear partial differential equations part I: Necessary conditions
- Hypoelliptic partial differential equations of principal type. Sufficient conditions and necessary conditions
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