The differential properties of a solution of a nonlinear multidimensional weakly singular integral equation of the Uryson type on an open bounded set are examined. Showing that the solution belongs to special weighted space of smooth functions, the growth of the derivatives near the boundary is described.
Cite this article
Arvet Pedas, Gennadi Vainikko, The Smoothness of Solutions to Nonlinear Weakly Singular Integral Equations. Z. Anal. Anwend. 13 (1994), no. 3, pp. 463–476DOI 10.4171/ZAA/501