A stability result for Neumann problems in dimension $N \ge 3$
Alessandro Giacomini
TL;DR
This paper establishes a sufficient condition for the stability of solutions to Neumann boundary problems on fractured domains in dimensions three and higher, contributing to the understanding of boundary value problems in complex geometries.
Contribution
It introduces a new stability criterion for Neumann problems on fractured domains in higher dimensions, expanding the theoretical framework for boundary value problems.
Findings
Provides a stability condition for Neumann problems in dimension N≥3
Extends stability analysis to fractured domains
Enhances understanding of boundary problems in complex geometries
Abstract
We give a sufficient condition in dimension in order to obtain the stability of a sequence of Neumann problems on fractured domains.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Advanced Mathematical Modeling in Engineering · Analytic and geometric function theory