𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Decay Estimates for Solutions of Linear Elasticity for Anisotropic Media

✍ Scribed by Markus Stoth

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
665 KB
Volume
19
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis

Communicated by R. Leis

We analyse the time decay of solutions to the Cauchy problem for the linear hyperbolic system of elasticity for anisotropic media. As an example, we will consider media with hexagonal symmetry. First we derive decay estimates for special initial data using the method of stationary phase in several variables and degenerate phase function based on the Malgrange preparation theorem. Asymptotic expansions are given to prove the sharpness of the weaker time decay found for zinc and beryl than in the isotropic case. A method using Besov spaces leads to dPP-Y4-estimates.

πŸ“œ SIMILAR VOLUMES

The Nonclassical Boundary-contact Proble
The Nonclassical Boundary-contact Problems of Elasticity for Homogeneous Anisotropic Media
✍ O. O. Chkadua πŸ“‚ Article πŸ“… 1995 πŸ› John Wiley and Sons 🌐 English βš– 664 KB

## Abstract The existence and uniqueness of solutions of the nonclassical boundary‐contact problems (i.e., problems with a contact on some part of the boundaries) of elasticity for homogeneous anisotropic media are investigated in Besov and Bessel potential spaces using methods of potential theory

Decay Estimates for the Solutions of Som
Decay Estimates for the Solutions of Some Nonlinear Evolution Equations
✍ L.H. Zhang πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 610 KB

We study decay estimates for the solutions and their derivatives to the initial value problems for some generalized nonlinear evolution equations which have lower order diffusion terms. 1995 Academic Press. Inc.