Strong ellipticity and Van Hove’s lemma in inhomogeneous media

Walker, Homer F.

doi:10.1090/qam/445117

Author: Homer F. Walker
Journal: Quart. Appl. Math. 35 (1977), 287-292
MSC: Primary 35J55; Secondary 73.35
DOI: https://doi.org/10.1090/qam/445117
MathSciNet review: 445117
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Warren S. Edelstein and Roger L. Fosdick, A note on non-uniqueness in linear elasticity theory, Z. Angew. Math. Phys. 19 (1968), 906–912 (English, with German summary). MR 239798, DOI https://doi.org/10.1007/BF01602270
Gaetano Fichera, Linear elliptic differential systems and eigenvalue problems, Lecture Notes in Mathematics, vol. 8, Springer-Verlag, Berlin-New York, 1965. MR 0209639
R. J. Knops and L. E. Payne, Uniqueness theorems in linear elasticity, Springer-Verlag, New York-Berlin, 1971. Springer Tracts in Natural Philosophy, Vol. 19. MR 0421244
A. V. Lair, A Rellich compactness theorem for sets of finite volume, Amer. Math. Monthly 83 (1976), no. 5, 350–351. MR 402489, DOI https://doi.org/10.2307/2318646
Lewis Wheeler, A uniqueness theorem for the displacement problem in finite elastodynamics, Arch. Rational Mech. Anal. 63 (1976), no. 2, 183–189 (1977). MR 421253, DOI https://doi.org/10.1007/BF00280604