The singular functions of branching edge asymptotics
B.-W. Schulze, L. Tepoyan
TL;DR
This paper studies the complex branching asymptotic structures in solutions to elliptic edge problems, focusing on how exponents, logarithmic terms, and coefficients depend on edge variables.
Contribution
It introduces a detailed analysis of the branching asymptotics in elliptic edge problems, highlighting the variable dependence of exponents and coefficients.
Findings
Characterization of branching asymptotics in elliptic edge solutions
Dependence of exponents and coefficients on edge variables
Insights into the structure of logarithmic terms
Abstract
We investigate the structure of branching asymptotics appearing in solutions to elliptic edge problems. The exponents in powers of the half-axis variable, logarithmic terms, and coefficients depend on the variables on the edge and may be branching.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Stochastic processes and statistical mechanics · Nonlinear Partial Differential Equations