Boundary value problems for evolution partial differential equations with discontinuous data

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.

References in corpus (3)

• The Linear KdV Equation with an Interface
• Heat equation on a network using the Fokas method
• Gibbs phenomenon for dispersive PDEs on the line