English

Representation formulas and large time behavior for solutions to some nonconvex Hamilton-Jacobi equations

Analysis of PDEs 2025-05-05 v1

Abstract

We give a new representation formula for solutions to nonconvex first-order Hamilton--Jacobi equations in the periodic setting and present some applications. We then prove the large time behavior for solutions under some additional assumptions.

Keywords

Cite

@article{arxiv.2505.01377,
  title  = {Representation formulas and large time behavior for solutions to some nonconvex Hamilton-Jacobi equations},
  author = {Hung Vinh Tran},
  journal= {arXiv preprint arXiv:2505.01377},
  year   = {2025}
}

Comments

31 pages