Boundary value problems for evolution partial differential equations with discontinuous data
Analysis of PDEs
2017-07-26 v3
Abstract
We characterize the behavior of the solutions of linear evolution partial differential equations on the half line in the presence of discontinuous initial conditions or discontinuous boundary conditions, as well as the behavior of the solutions in the presence of corner singularities. The characterization focuses on an expansion in terms of computable special functions.
Cite
@article{arxiv.1510.02033,
title = {Boundary value problems for evolution partial differential equations with discontinuous data},
author = {Gino Biondini and Thomas Trogdon},
journal= {arXiv preprint arXiv:1510.02033},
year = {2017}
}