The scale-splitting operators revisited
In Section 1.4, some estimates and convergence were obtained for functions in W1,p(ℝN), p ϵ [1+∞] (cf. Proposition 1.38 to Theorem 1.41). This chapter is devoted to similar estimates and convergences for functions in Lp(ℝN). Accordingly, the estimates are shifted by one order of derivation, e.g. (12.6). These results play a fundamental role in the following chapters on error estimates.
Unable to display preview. Download preview PDF.