We show that, for certain non-smooth bounded domains Ω ⊂ Rn, the real interpolation space (Lp(Ω), W1,p(Ω))s,p is the subspace Ws,p(Ω) ⊂ Lp(Ω) induced by the restricted fractional seminorm |f| Ws,p(Ω) = ∫ Ω ∫ |x−y|< d(x) 2 ...

In addition to the distinct internal symmetry of domain walls discussed in Chapter 1, local stresses can induce new physical properties at domain walls. In this chapter, we discuss how the intense stress fields generated ...

Currently, there are almost as many conceptions of emergence as authors who address the issue. Most literature on the matter focuses either on discussing, evaluating and comparing particular contributions or accounts of ...

In the model driven engineering (MDE), modeling languages play a central role. They range from the most generic languages such as UML, to more individual ones, called domain-specific modeling languages (DSML). These languages ...

We obtain improved fractional Poincaré and Sobolev-Poincaré inequalities including powers of the distance to the boundary in bounded John, s-John, and Hölder-α domains, and discuss their optimality.