Cauchy problem for differential operators with double characteristics : non-effectively hyperbolic characteristics / Tatsuo Nishitani

Auteur principal : Nishitani, Tatsuo, 1950-, AuteurType de document : MonographieCollection : Lecture notes in mathematics, 2202Langue : anglais.Pays: Swisse.Éditeur : Cham : Springer, 2017Description : 1 vol. (VIII-211 p.) ; 24 cmISBN: 9783319676111.ISSN: 0075-8434.Bibliographie : Bibliogr. p. 203-207. Index.Sujet MSC : 35-02, Research exposition (monographs, survey articles) pertaining to partial differential equations
35L15, PDEs - Hyperbolic equations and hyperbolic systems, Initial value problems for second-order hyperbolic equations
35L30, PDEs - Hyperbolic equations and hyperbolic systems, Initial value problems for higher-order hyperbolic equations
34L20, Ordinary differential equations, Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators
34M40, Ordinary differential equations in the complex domain, Stokes phenomena and connection problems (linear and nonlinear)
En-ligne : ZbMath | MSN | Springer
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 Monographie Monographie CMI
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35 NIS (Browse shelf(Opens below)) Available 12497-01

Bibliogr. p. 203-207. Index

Publisher’s description: Combining geometrical and microlocal tools, this monograph gives detailed proofs of many well/ill-posed results related to the Cauchy problem for differential operators with non-effectively hyperbolic double characteristics. Previously scattered over numerous different publications, the results are presented from the viewpoint that the Hamilton map and the geometry of bicharacteristics completely characterizes the well/ill-posedness of the Cauchy problem.

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