#stability
10 papers match
The Existence and Stability of Generalized Multi-Source Weber Problems
V. S. T. Long, N. M. Nam, T. H. Tai +1
The paper investigates a generalized multi-source Weber problem with set-valued targets using minimal time functions, establishing existence of solutions, their qualitative propert…
CACHE-UK: A Stability-Aware Memory Editor for Sequentially Updated Quantized LLMs in Finance
Anubhav Lakra, Yue Feng
The paper introduces CACHE-UK, a stability-aware memory editing framework for 4-bit quantized large language models used in UK finance, which reduces knowledge degradation during s…
Stability of persistent path homology of path complexes
Chris Kapulkin, Kyle Koyanagi
The paper proves that the persistent path homology of path complexes is stable under perturbations, and extends this stability to hypergraphs, sequence hypergraphs, and digraphs.
Energy decay and weak observability for some evolution systems
Kaïs Ammari, Faouzi Triki
The paper shows that, under suitable conditions, weak observability and energy decay are equivalent properties for a class of dissipative evolution operators, linking stability est…
Strict Lyapunov function for the one-dimensional linear wave equation with a locally distributed damping
Jean-Michel Coron
The paper presents an explicit strict Lyapunov function to prove stability for the one‑dimensional linear wave equation with locally distributed damping and Dirichlet boundary cond…
Serrin's Problem under Dirichlet Perturbations: Geometric Compactness and Sharp Planar Stability
Qinfeng Li, Weihong Xie, Hang Yang
The paper studies the stability of Serrin's overdetermined problem under Dirichlet perturbations in two dimensions, proving sharp quantitative convergence to a disk for convex doma…