Boundary value problem: A static solution of the problem should be found in some region-and the dependent variable is specified on its boundary. Example: The Laplace equation.

A nonlinear problem with an initial condition is solved and the corresponding linear problem with constant coefficients is solved as an example. Further, the half-order linear problem with constant ...

In recent papers Kreiss and others have shown that initial-boundary value problems for strictly hyperbolic systems in regions with smooth boundaries are well-posed under uniform Lopatinskiĭ conditions ...