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The coerciveness for integro-differential quadratic forms and Korn’s inequality

Published online by Cambridge University Press:  22 January 2016

Yoshio Kato
Yoshio Kato*
Affiliation:
Department of Engineering Mathematics, Faculty of Engineering, Nagoya University
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Let Q be a bounded open set of Rn (n ≧ 2) with a C∞ boundary Γ and assume that be functions in such that where s1, …, sN are integers ≧ and are n-tuples of non-negative integers with

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 73 , March 1979 , pp. 7 - 28
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1979

References

[1] Fichera, G., Linear elliptic differential systems and eigenvalue problems, Lecture Notes in Math., 8 (1965), Springer-Verlag.CrossRefGoogle Scholar
[2] Fichera, G., Existence theorems in elasticity, Handbuch der Physik, Bd. VI a/2, Springer Verlag (1972), 347–389.Google Scholar
[3] Friedrichs, K. O., On the boundary value problems of the theory of elasticity and Korn’s inequality, Annals of Math., 48 (1947), 441–471.CrossRefGoogle Scholar
[4] Kato, Y., On the coerciveness for integro-differential quadratic forms, J. Analyse Math., 27 (1974), 118–158.CrossRefGoogle Scholar