Smooth dependence of solutions of the dbar-Neumann problem on parameters
Abstract
In this thesis, the author studies the smooth dependence of solution of the [special characters omitted]-Neumann problem on parameters. A theorem on smooth dependence is proved in the strictly pseudoconvex domains. Then, this theorem is used to prove two other theorems on local [special characters omitted]-closed extensions of forms. And, those two extension theorems is applied to prove a theorem on local solvability of the tangential Cauchy-Riemann equations.
Degree
Ph.D.
Advisors
Catlin, Purdue University.
Subject Area
Mathematics
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