Strongly Elliptic Systems and Boundary Integral Equations eBook

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DESCRIPTION

Partial differential equations provide mathematical models of many important problems in the physical sciences and engineering. This book treats one class of such equations, concentrating on methods involving the use of surface potentials. It provides the first detailed exposition of the mathematical theory of boundary integral equations of the first kind on non-smooth domains. Included are chapters on three specific examples: the Laplace equation, the Helmholtz equation and the equations of linear elasticity.The book is designed to provide an ideal preparation for studying the modern research literature on boundary element methods.

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Strongly Elliptic Systems and Boundary Integral Equations Bill McLean March 20, 2017 27(-6) The statement of Theorem 2.14 should read \In any complete metric space X, ...". 28(-10) Here, it would be better to say \any (bounded) linear operator". 60(5) One usually proves ! p(t;u) !0 rst for u2C0 comp and then uses density of C0 comp in L p(Rn) (1 p<1). 64(7) Note that the constant Cdepends on ...

TAILLE DU FICHIER: 5,56 MB

AUTEUR: William McLean

NOM DE FICHIER: Strongly Elliptic Systems and Boundary Integral Equations.pdf

DATE DE PUBLICATION: 2000-Mar-21

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Strongly Elliptic Systems and Boundary Integral Equations ...

Among a number of difficult problems addressed are the Dirichlet and oblique derivative problems for non- uniformly elliptic equations and non-strongly elliptic systems and the Cauchy and Darloux problems for non-strongly hyperbolic systems and hyperbolic equations with parabolic degeneracy on the boundary. Written at a level suitable for undergraduate and graduate students and researchers ...

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