Format:
Online-Ressource
ISBN:
9783642110924
Series Statement:
C.I.M.E. Summer Schools 75
Content:
A. Dynin: Pseudo-differential operators on Heisenberg groups.- A. Dynin: An index formula for elliptic boundary problems.- G.I. Eskin: General mixed boundary problems for elliptic differential equations.- B. Helffer: Hypoellipticite pour des operateurs differentiels sur des groupes de Lie nilpotents.- J.J. Kohn: Lectures on degenerate elliptic problems.- K. Taira: Conditions necessaires et suffisantes pour l'existence et l'unicite des solutions du probleme de la derivee oblique.- F. Treves: Boundary value problems for elliptic equations
Note:
Description based upon print version of record
,
Pseudodifferential Operators with Applications; Copyright Page; Contents; Pseudo-Differential Operators on Heisenberg Groups; Introduction; 1. Heisenberg Lie groups and algebras; 3. H. Weyl quantization.; 4. Pseudo - differential operators on (Image); An Index Formula for Elliptic Boundary Problems; 1. Notation; 2. Elliptic Boundary Problems; 3. The Index Formula; 4. The Index Formula for Systems; References; General mixed boundary problems for elliptic differential equations; 0. Introduction; 1. Sobolev's spaces with weights; 2. Solution of the mixed problem in the half-space
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3. The Cauchy integral4. Factorization of an elliptic symbol; 5. Solution of the mixed problem in the half-space (continuation); 6. Examples of the mixed problems in the half-space; 7. Asymptotic behaviour of the solution of the mixed problem near the hyperplane Image; 8. Mixed problem for second order elliptic equation in a bounded domain; 9. Generalized mixed problem; 10. The Riemann-Hilbert problem for the system of functions; 11.Normal solvability of pseudodifferential operator of the half-line(continuation); 12. The factorization of matrices arid the construction of regularizer
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V. The Image-Neumann Problem in Subdomains of CNVI . Boundary Value Problems of Principal Type; Bibliographical References;
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13. General boundary problem for system of pseudodifferential equation ona half-line14. Necessary and sufficient conditions for the existence of the uniquelysolvable boundary problem; 15. Generalized mixedroblem in the half-space; References; Hypoellipticite Pour des Operateurs Differentiels sur Desgroupes de lie Nilpotents; 0. Enoncé des résultats; 1. Rappels sur les résultats de [3]; 2. Application à l'étude de l'hypoellipticité pour des opérateurs différentiels invariants à gauche sur des groupes nilpotents de rang de nilpotence 2; Bibliographie; Lectures On Degenerate Elliptic Problems
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Lecture 1Lecture 2; Lecture 3; Lecture 4; Lecture 5; Lecture 6; Lecture 7; Lecture 8; References; Conditions nécessaires et suffisantes pour l'edstence et l'unicité des solutions du problème de la dérivée oblique; Introduction; 1. Formulation du problème; 4. Conititios nécessaires et snffisantes; Bibliographie; Boundary Value Problems for Elliptic Equations; Introduction; I. Backsound on Pseudodifferential Operators. Wave-front sets; II. The Generalized Heat Equation and its Parametrix; III. Application to Boundary Value Problems for elliptic Equations; IV. Coercive Boundary Value Problems
Language:
English
Keywords:
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