Solving strongly singular integral equations by Lp approximation methods

摘要

It has previously been shown that integral equations can be solved effectively by means of an Lp approximation technique (and particularly by means of an L1 approximation). This method has also successfully been applied to singular integral equations. In the present discussion attention is paid to solving strongly singular integral equations via Lp approximation techniques, and in particular to the case of integral equations containing Hadamard (or finite-part) integrals.