Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9501633 | Journal of Differential Equations | 2005 | 23 Pages |
Abstract
We will solve the following boundary value problem in linear viscoelasticity: given the value of the stress on (a part of) the boundary of the domain find the stress in the whole body at all positive times. Using a state space setting we show that the stress field inside the body can be obtained from the boundary stress by a variation-of-parameters formula involving an analytic semigroup. The relation between the regularities of the boundary stress and the stress inside the body is therefore characterized by the well-known and rich regularity theory for analytic semigroups.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
W. Desch, E. Fašanga,