The mixed problem for the Laplace equation outside cuts in a plane is considered. The Dirichlet condition is posed on one side of each cut and the skew derivative condition is posed on the other side.

This is a preview. Log in through your library . Abstract A nonlinear boundary value problem for Laplace's equation on a polygonal domain is solved with a collocation method applied to a boundary ...

Studies properties and solutions of partial differential equations. Covers methods of characteristics, well-posedness, wave, heat and Laplace equations, Green's functions, and related integral ...