Microlocal regularity for global solutions of partial differential equations with polynomial coefficients

DOI10.1007/BF00140753zbMath0649.35014WikidataQ115395194 ScholiaQ115395194MaRDI QIDQ1105767

Otto Liess

Publication date: 1987

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

regularityuniquenesspolynomial coefficientsanalytic wave front setcharacteristic Cauchy problemsgrowth restritions at infinity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Initial value problems for linear higher-order PDEs (35G10) Linear higher-order PDEs (35G05)

Cites Work

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• Intersection properties of weak analytically uniform classes of functions
• On the characteristic Cauchy problem for partial differential equations
• Pseudo-differential operators and Gevrey classes
• Necessary and sufficient conditions for propagation of singularities for systems of linear partial differential operators with constant coefficients
• Uniqueness theorems and wave front sets for solutions of linear differential equations with analytic coefficients

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