A new method due to Fokas for explicitly solving boundary-value problems for linear partial differential equations is extended to equations with mixed partial derivatives. The Benjamin-Bona-Mahony equation is used as an example: we consider the Robin problem for this equation posed both on the half line and on the finite interval. For specific cases of the Robin boundary conditions the boundary-value problem is found to be ill posed.
No takes yet. Share an insight, caveat, or question.
Vasan et al. (2013) studied this question.
Synapse has enriched 4 closely related papers on similar clinical questions. Consider them for comparative context: