English

Peano type theorem for abstract parabolic equations

Analysis of PDEs 2007-05-23 v1

Abstract

We consider parabolic problems with non-Lipschitz nonlinearity in the different scales of Banach spaces and prove local-in-time existence theorem. New class of parabolic equations that have analytic solutions is obtained.

Keywords

Cite

@article{arxiv.math/0611456,
  title  = {Peano type theorem for abstract parabolic equations},
  author = {Oleg Zubelevich},
  journal= {arXiv preprint arXiv:math/0611456},
  year   = {2007}
}

Comments

19 pages