Branching Asymptotics on Manifolds with Edge
B.-Wolfgang Schulze, Andrea Volpato
TL;DR
This paper investigates pseudo-differential operators on wedge-shaped manifolds with complex branching asymptotics, advancing understanding of their behavior in such geometric settings.
Contribution
It introduces a framework for analyzing pseudo-differential operators with variable branching asymptotics on manifolds with edges.
Findings
Developed new asymptotic analysis techniques for edge manifolds.
Characterized the behavior of operators with continuous and variable discrete branching.
Provided insights into the structure of solutions near edges.
Abstract
We study pseudo-differential operators on a wedge with continuous and variable discrete branching asymptotics.
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Taxonomy
Topicsadvanced mathematical theories · Mathematical Dynamics and Fractals · Stochastic processes and statistical mechanics