SOME GENERALIZED EIGENFUNCTION EXPANSIONS AND UNIQUENESS THEOREMS.
NEW YORK UNIV N Y COURANT INST OF MATHEMATICAL SCIENCES
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A generalized eigenfunction expansion method, Churchills method, and a transform method are used to investigate the uniqueness of the solution of the equation the partial derivative with respect to y of py the partial derivative with respect to y of phix,y qyphi ry the second partial derivative of phi with respect to x 0, minus infinity x plus infinity, 0 y 1 subject to the boundary conditions phi sub yx,0 alpha sub 0 phi sub xx x,0 beta sub 0 phi x,0 0 and phi sub y x, 1 alpha sub 1 phi sub xx x, 1 beta sub 1 phi x, 1 0. Author
- Theoretical Mathematics
- Fluid Mechanics