Open AccessThe Smoothness of Solutions to Nonlinear Weakly Singular Integral Equations
Author(s) -
Arvet Pedas,
Gennadi Vainikko
Publication year - 1994
Publication title -
zeitschrift für analysis und ihre anwendungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.567
H-Index - 35
eISSN - 1661-4534
pISSN - 0232-2064
DOI - 10.4171/zaa/501
Subject(s) - smoothness , nonlinear system , mathematics , singular integral , mathematical analysis , integral equation , singular solution , physics , quantum mechanics
The differential properties of a solution of a nonlinear multidimensional weakly singular integral equation of the Uryson type on an open bounded set G C IR" are examined. Showing that the solution belongs to special weighted space of smooth functions, the growth of the derivatives near the boundary is described.
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