On a closed range property of a linear differential operator

DOI10.3792/PJAA.62.386zbMath0607.35033OpenAlexW2085551489MaRDI QIDQ1085335

Takahiro Kawai, Yoshitsugu Takei

Publication date: 1986

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.62.386

zbMATH Keywords

cohomology groupsa priori estimateselliptic systemreal analytic functionsCauchy-Riemann operatorsfinite-dimensionalitytangential systemgeneralized Levi formuniform P-convexity

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) A priori estimates in context of PDEs (35B45) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Geometric theory, characteristics, transformations in context of PDEs (35A30) Relations of PDEs on manifolds with hyperfunctions (58J15)

Related Items (1)

Bicharacteristical convexity and the semi-global existence of holomorphic solutions of linear differential equations with holomorphic coefficients

Cites Work

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• On the global existence of holomorphic solutions and the semi-global existence of real analytic solutions of linear partial differential equations
• Existence et prolongement des solutions holomorphes des équations aux dérivées partielles
• On the global existence of real analytic solutions and hyperfunction solutions of linear differential equations
• Projective and injective limits of weakly compact sequences of locally convex spaces
• Theorems on the finite-dimensionality of cohomology groups, III
• Theorems on the finite-dimensionality of cohomology groups, IV

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