The mixed initial-boundary value problem in the context of elasticity of porous bodies having a dipolar structure is considered. By means of a semigroup of contractions, we can obtain some results regarding the existence and uniqueness of solutions for this mixed problem, after proving the equivalence between this problem and a Cauchy problem attached to an abstract equation of evolution. Also, by means of this Cauchy problem, we deduce two continuous dependence results, regarding the supply terms of the original mixed problem and upon initial data.

中文翻译：

---

多孔体弹性的半收缩

考虑具有偶极结构的多孔体的弹性时的混合初始边界值问题。通过证明该问题与附加在抽象演化方程上的柯西问题之间的等价关系，我们可以通过半群收缩来获得有关该混合问题解的存在性和唯一性的一些结果。同样，借助这个柯西问题，我们得出了两个连续的依赖结果，分别是原始混合问题的供给条件和初始数据。