Boundary Value Problems for Linear PDEs with Variable Coefficients
نویسنده
چکیده
A new method is introduced for studying boundary value problems for a class of linear PDEs with variable coefficients. This method is based on ideas recently introduced by the author for the study of boundary value problems for PDEs with constant coefficients. As illustrative examples the following boundary value problems are solved: (a) A Dirichlet and a Neumann problem on the half line for the time-dependent Schrödinger equation with a space dependent potential. (b) A Poincaré problem on the quarter plane for a variable coefficient generalisation of the Laplace equation.
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