## Communicated by B. Brosowski We show the existence of periodic solutions to models in elastoplasticity, like the Chaboche model.
Periodic Solutions of Non-linear Anisotropic Partial Differential Equations
✍ Scribed by Klaus Pflüger
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 471 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0170-4214
No coin nor oath required. For personal study only.
✦ Synopsis
Periodic solutions of arbitrary period to semilinear partial differential equations of Zabusky or Boussinesq type are obtained. More generally, for a linear differential operator A ( y , a ) , the equation A ( y , a)u = ( -l)lYlas,f(y, Pu), y = (t, x) E Rk x G is studied, where homogeneous boundary conditions on aG and periodicity conditions on t are imposed. The solutions are obtained by variational methods in anisotropic Sobolev spaces.
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