English

Exotic n-d'Alembert PDE's and Stability

General Mathematics 2013-05-29 v2

Abstract

In the framework of the PDE's algebraic topology, previously introduced by A. Pr\'astaro, {\em exotic nn-d'Alembert PDE's} are considered. These are nn-d'Alembert PDE's, (dA)n(d'A)_n, admitting Cauchy manifolds N(dA)nN\subset (d'A)_n identifiable with exotic spheres, or such that N\partial N, can be exotic spheres. For such equations local and global existence theorems and stability theorems are obtained.

Cite

@article{arxiv.1011.0081,
  title  = {Exotic n-d'Alembert PDE's and Stability},
  author = {Agostino Prástaro},
  journal= {arXiv preprint arXiv:1011.0081},
  year   = {2013}
}

Comments

13 pages

R2 v1 2026-06-21T16:36:29.025Z