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The Complex WKB Method for Nonlinear Equations I: Linear Theory by Victor P. Mas

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This book deals with asymptotic solutions of linear and nonlinear equa tions which decay as h —+ 0 outside a neighborhood of certain points, curves and surfaces. Such solutions are almost everywhere well approximated by the functions cp(x) exp{iS(x)/h}, x E 1R3, where S(x) is complex, and ImS(x) ~ o.

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