## Communicated by J. Banasiak In this paper we study an application of nonlinear B-bounded semigroups introduced in a previous paper. The application is similar to the particle transport problem which led to B-bounded linear semigroups. We deal with a nonlinear particle transport problem, which c
B-bounded nonlinear semigroups
β Scribed by Meri Lisi; Silvia Totaro
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 142 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1310
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β¦ Synopsis
Abstract
In this paper we study the properties of a new one parameter family of nonlinear operators which is a generalization of Bβbounded linear semigroups. This family is constructed by means of a nonlinear operator A and a linear operator B. We give also examples of problems which can be solved by using such a family. Copyright Β© 2010 John Wiley & Sons, Ltd.
π SIMILAR VOLUMES
By TAKAYUKI TAMURA of Davis/Calif. (Eingegangen am 12. 6. 1972) \*) This paper was presented a t the meeting of American Mathematical Society at Berkeley, April 22, 1972.
The evolution of an elastic-plastic material is modeled as an initial boundary value problem consisting of the dynamic momentum equation coupled with a constitutive law for which the hysteretic dependence between stress and strain is described by a system of variational inequalities. This system is