Article ID Journal Published Year Pages File Type
4617338 Journal of Mathematical Analysis and Applications 2012 9 Pages PDF
Abstract

We propose a mathematical limit of L1L1-stable weak asymptotic methods. A family of L1L1-stable approximate solutions is transformed into a normal family of holomorphic functions defined in a complex domain having the real space on its boundary. This provides a holomorphic function which is the same mathematical object as the solutions from explicit calculations. The weak limit of the approximate solutions from weak asymptotic methods in the space of bounded Radon measures is recovered as a boundary value of this holomorphic function.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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