Boundary value problems for elliptic systems / J.T. Wloka, B. Rowley, B. Lawruk
Type de document : MonographieLangue : anglais.Pays: Grande Bretagne.Éditeur : Cambridge : Cambridge University Press, cop. 1995Description : 1 vol. (XIV-641 p.) : fig. ; 24 cmISBN: 0521430119.Bibliographie : Bibliogr. p. 635-638. Index.Sujet MSC : 35Jxx, Partial differential equations - Elliptic equations and elliptic systems35S15, PDEs - Pseudodifferential operators and other generalizations of partial differential operators, Boundary value problems for PDEs with pseudodifferential operators
58J05, Global analysis, analysis on manifolds - PDEs on manifolds; differential operators, Elliptic equations on manifolds, general theory
58J20, Global analysis, analysis on manifolds - PDEs on manifolds; differential operators, Index theory and related fixed-point theorems on manifoldsEn-ligne : sommaire
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Bibliogr. p. 635-638. Index
This book examines the theory of boundary value problems for elliptic systems of partial differential equations, a theory which has many applications in mathematics and the physical sciences. The aim is to 'algebraize' the index theory by means of pseudo-differential operators and methods in the spectral theory of matrix polynomials. This latter theory provides important tools that will enable the student to work efficiently with the principal symbols of the elliptic and boundary operators on the boundary. This book is ideal for use in graduate-level courses on partial differential equations, elliptic systems, pseudo-differential operators and matrix analysis. Since many new methods and results are introduced and used throughout the book, all the theorems are proved in detail, and the methods are well illustrated through numerous examples and exercises. (Source : CUP)
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