English

Nonlinear evolution equations with a non-Lipschitz perturbation: convergence of successive approximations and uniqueness of solutions

Analysis of PDEs 2026-05-01 v1

Abstract

This paper investigates the existence and uniqueness of solutions for a nonlinear evolution equation governed by an m-accretive operator A in a Banach space, presenting a perturbation term that does not satisfy the Lipschitz condition.

Keywords

Cite

@article{arxiv.2604.28086,
  title  = {Nonlinear evolution equations with a non-Lipschitz perturbation: convergence of successive approximations and uniqueness of solutions},
  author = {G. Diaz and J. I. Dıaz},
  journal= {arXiv preprint arXiv:2604.28086},
  year   = {2026}
}

Comments

24 pages 1 figure