Well-posedness of boundary-value problems for the linear Benjamin-Bona-Mahony equation
نویسندگان
چکیده
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 boundaryvalue problem is found to be ill posed.
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