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

Auteur: Nishitani, Tatsuo (1950-) - AuteurType de document: MonographieCollection: Lecture notes in mathematics ; 2202Langue: anglaisPays: SwisseÉditeur: Cham : Springer, 2017Description: 1 vol. (VIII-211 p.) ; 24 cm ISBN: 9783319676111 ; br. ISSN: 0075-8434Résumé: 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..Bibliographie: Bibliogr. p. 203-207. Index. Sujets MSC: 35-02 Partial differential equations -- Research exposition (monographs, survey articles)
35L15 Partial differential equations -- Hyperbolic equations and systems -- Initial value problems for second-order hyperbolic equations
35L30 Partial differential equations -- Hyperbolic equations and systems -- Initial value problems for higher-order hyperbolic equations
34L20 Ordinary differential equations -- Ordinary differential operators -- Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions
34M40 Ordinary differential equations -- Differential equations in the complex domain -- Stokes phenomena and connection problems (linear and nonlinear)
En-ligne: ZbMath | MSN | Springer
Location Call Number Status Date Due
Salle R 12497-01 / 35 NIS (Browse Shelf) Available

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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