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Microlocal Analysis.

By: Contributor(s): Material type: TextTextSeries: Contemporary MathematicsPublisher: Providence : American Mathematical Society, 1984Copyright date: ©1984Edition: 1st edDescription: 1 online resource (261 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780821876121
Subject(s): Genre/Form: Additional physical formats: Print version:: Microlocal AnalysisDDC classification:
  • 515
LOC classification:
  • QA299.6 -- .M52 1984eb
Online resources:
Contents:
Intro -- Contents -- Introduction -- I. Survey articles -- Uniqueness and non-uniqueness in the Cauchy problem -- Hypo-analytic structures -- II. Spectrum of operators -- The multidimensional inverse spectral problem with a periodic potential -- A subelliptic, nonlinear eigenvalue problem and scalar curvature on CR manifolds -- The heat equation for Ob -- III. Nonlinear problems -- Propagation of analyticity for solutions of non linear partial differential equations -- Nonlinear wave equations with data singular at one point -- Non linear oblique derivative problems with non smooth solutions -- Ray-like solutions of semilinear wave equations -- IV. Asymptotics -- Global and partially global operators. Propagation of singularities and spectral asymptotics -- The trace of the wave group -- Airy operator calculus -- V. Pseudodifferential operators of multiple characteristics -- A necessary condition for solvability for a class of operators with involutive double characteristics -- Approximation of systems of pseudodifferential operators -- VI. Operators on groups and homogeneous spaces -- Toward analytic pseudodifferential operators for the Heisenberg group -- Microhypoellipticity on step two nilpotent Lie groups -- Symbolic calculi and the duality of homogeneous spaces.
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Intro -- Contents -- Introduction -- I. Survey articles -- Uniqueness and non-uniqueness in the Cauchy problem -- Hypo-analytic structures -- II. Spectrum of operators -- The multidimensional inverse spectral problem with a periodic potential -- A subelliptic, nonlinear eigenvalue problem and scalar curvature on CR manifolds -- The heat equation for Ob -- III. Nonlinear problems -- Propagation of analyticity for solutions of non linear partial differential equations -- Nonlinear wave equations with data singular at one point -- Non linear oblique derivative problems with non smooth solutions -- Ray-like solutions of semilinear wave equations -- IV. Asymptotics -- Global and partially global operators. Propagation of singularities and spectral asymptotics -- The trace of the wave group -- Airy operator calculus -- V. Pseudodifferential operators of multiple characteristics -- A necessary condition for solvability for a class of operators with involutive double characteristics -- Approximation of systems of pseudodifferential operators -- VI. Operators on groups and homogeneous spaces -- Toward analytic pseudodifferential operators for the Heisenberg group -- Microhypoellipticity on step two nilpotent Lie groups -- Symbolic calculi and the duality of homogeneous spaces.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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