New classes of non-convolution integral equations arising from Lie symmetry analysis of hyperbolic PDEs

• Type: Article in International Scientific Journal
• Date: 2017

Authors

Craddock, M (Author) Other; Yakubovich, SB (Author) FCUP

Journal

Title: Journal of Differential Equations

Vol. 263

Pages: 7412-7447

ISSN: 0022-0396

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 1 Citation

Other information

Authenticus ID: P-00N-3TY

DOI: 10.1016/j.jde.2017.08.012

Abstract (EN): In this paper we consider some new classes of integral equations that arise from Lie symmetry analysis. Specifically, we consider the task of obtaining solutions of a Cauchy problem for some classes of second order hyperbolic partial differential equations. Our analysis leads to new integral equations of non-convolution type, which can be solved by classical methods. We derive solutions of these integral equations, which in turn lead to solutions of the associated Cauchy problems.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 36