References
Volterra, V., Sulle equazioni integro-differenziali della teoria dell'elasticita. Atti della Reale Accademia dei Lincei 18, 2, 295 (1909).
Edelstein, W. S., & M. E. Gurtin, Uniqueness thorems in the linear dynamic theory of anisotropic viscoelastic solids. Arch. Rational Mech. Anal. 17, 1, 47–60 (1964).
Odeh, F., & I. Tadjbakhsh, Uniqueness in the linear theory of viscoelaticity. Arch. Rational Mech. Anal. 18, 244–250 (1965).
Agmon, S., A. Douglis, & L. Nirenberg, Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II. Comm. Pure Appl. Math. 17, 35–92 (1964).
Fichera, Gaetano, Lectures on Linear Elliptic Differential Systems and Eigenvalue Problems. Lecture Notes in Mathematics. Berlin-Heidelberg-New York: Springer 1965.
Gurtin, M. E., & Eli Sternberg, On the linear theory of viscoelasticity. Arch. Rational Mech. Anal. 11, 4, 291 (1962).
Courant, R., & D. Hilbert, Methods of Mathematical Physics, Vol. 2. New York: Wiley 1962.
Sokolnikoff, I. S., Mathematical Theory of Elasticity, Second Edition. New York: McGraw Hill 1956.
Gurtin, M. E., A note on the principle of minimum potential energy for linear anisotropic elastic solids. Quarterly of Applied Mathematics 20, 4 (1963).
Hlaváček, I., & M. Predeleanu, Sur l'existence et l'unicité de la solution dans la théorie du fluage lineaire. I. Premier probleme aux limites. Aplikace Matematiky 9, 321–327 (1964).
Author information
Authors and Affiliations
Additional information
Communicated by J. L. Ericksen
Rights and permissions
About this article
Cite this article
Edelstein, W.S. Existence of solutions to the displacement problem for quasistatic viscoelasticity. Arch. Rational Mech. Anal. 22, 121–128 (1966). https://doi.org/10.1007/BF00276512
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00276512