Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10224120 | Journal of Differential Equations | 2018 | 17 Pages |
Abstract
The article is to study singular integro-differential equations involving convolutional operators and Cauchy integral operators via Riemann-Hilbert problem. To do this, we adopt a new approach through Fourier transform on L2 subspace which is Hölder-continuous with a certain decay at infinity. The Fourier transform converts the equations into a Riemann-Hilbert problem with Hölder-continuous coefficients and with nodal points, which allows us to construct the general solutions.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Pingrun Li, Guangbin Ren,