By G. M. de La Penha, L. A. J. Medeiros

ISBN-10: 0444851666

ISBN-13: 9780444851666

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The 5 c a n he a d a p t e d w i t h o u t change t o t r e a t methods o f S e c t i o n I n particular, t h e c o r r e s p o n d i n g s e m i - i n v e r s e problems. the p r o c e d u r e b e g i n n i n g w i t h t h e weak e q u a t i o n s p r o d u c e s a soluticn t o t h e e v e r s i o n problem, d i s c u s s e d by T r u e s d e l l [ 1 2 ] elsewhe= i n t h i s volume. T h i s problem c a n h e s o l v e d u n d e r t h e requirement that there he zero r e s u l t a n t t h e ends of the tube.

STUART S. 22 ANTMAN The r e s u l t s r e p o r t e d h e r e s u g g e s t t h a t a l l r e a s o n a b l e boundary v a l u e problems f o r q u a s i l i n e a r systems of o r d i n a r y d i f f e r e n t i a l equations describing semi-inverse problems of compressible e l a s t i c bodies ha>e c l a s s i c a l solutions. o n a f o r m u l a t i o n i n m a t e r i a l c o o r d i n a t e s and analysis relies on t h e e x p l o i t a t i o n o f Many of the strong e l l i p t i c i t y condition, t h e s t u d i e s of semi-inverse employed s p a t i a l d e s c r i p t i o n s , equations (cf.

And Related T o p i c s , S c a t t e r i n g T h e o r y , Academic 1967. The S i n g u l a r i t i e s o f NYU R e s a r c h R e p o r t (1961). S. G. [71 D. Ludwig, The Radon transform Cornm. I. Pai, COSTA on Euclidean spaces, Pure Appl. Math. 19 (1966), pp. 49-81. Magnetogasdynamics and Plasma Dynamics, Springer, 1962. H. Wilcox, Wave operators and asymptotic solutions o f wave propagation problems of classical physics, Arch. Rat. Mech. Anal. 22 (1966) PP. 37-78. H. Wilcox, Measurable eigenvectors f o r Hermitian matrix-valued polynomials, J.

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