Interior Lp-estimates for functions with integral representations
Wolfgang Tutschke, Ü. Yüksel · Applicable Analysis · 1999
For fnctions having either boundary integral representations or domain integral representations the present paper proves apriori estimate of first order derivatives in the Lpnorm. An overview of integral representations and their application to partial differential equations can be found in H. Begehr's and R. P.Gilbert's two volumes [2]. Interior esitmates in the Hijlder norm for very general (elliptic) systems of partial differential equations can be found in A. Douglis' and L. Nirenberg's paper [7], while estimates in the Lp-norm are contained, for instance, in the papers I ofthe threeauthors S. Agmon, A. Douglis and L. Nirenberg. In these papers [1,7] one can find further references.