A Span Classsearchtermclassspan of Improper Boundary Value Problems With
A Span Classsearchtermclassspan of Improper Boundary Value Problems With
J M Zimmerman
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sufficiently small for (50) v^h (^ e-2h^ + e^^^^) 1 and a - 3 | u/ 1 oo (in which case (3) degenerates into the linear problem Lu = 0) the solution given by our method reduces, as it should, to the unique global one guaranteed by the classical theory* ir-'^^rrr^;;/. :/ 19 "^p+l^y^ - Up(y)|| CD ^ (for each y) exists belongs to L»[and satisfies the integral equation (35) • Similarly from the equivalence of (39) and (i;0), and the uniqueness of the Fourier transform, the limit of the iterates def...ined by (39) u(x, y) = lim u (x, y) p->oo ^ exists, belongs to S, ("L ) and satisfies (36).
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