On the regularity of solutions to integral equations with nonsmooth kernels on a union of open intervals

✍ Scribed by Arvet Pedas; Gennadi Vainikko

• Book ID: 104005888
• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 843 KB
• Volume: 229
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/j.cam.2008.04.009

✦ Synopsis

The behaviour of a solution to a Fredholm integral equation of the second kind on a union of open intervals is examined. The kernel of the corresponding integral operator may have diagonal singularities, information about them is given through certain estimates. The weighted spaces of smooth functions with boundary singularities containing the solution of the integral equation are described.