Exponential function of pseudo-differential operators in Gevrey spaces

DOI10.1007/S00020-010-1850-3zbMath1221.35459OpenAlexW1990185554MaRDI QIDQ543473

Anahit Galstian

Publication date: 17 June 2011

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-010-1850-3

zbMATH Keywords

exponential functionCauchy problemGevrey classespseudo-differential operatorshyperbolic operators

Mathematics Subject Classification ID

Volterra integral equations (45D05) Degenerate hyperbolic equations (35L80) Pseudodifferential operators (47G30) Initial value problems for PDEs with pseudodifferential operators (35S10)

Cites Work

• The hyperbolic Cauchy problem
• Fundamental solution for a degenerate hyperbolic operator in Gevrey classes
• On a sharp Levi condition in Gevrey classes for some infinitely degenerate hyperbolic equations and its necessity
• Gevrey Asymptotic Representation of the Solutions of Equations with One Turning Point
• Pseudodifferential operators of infinite order and Gevrey classes
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