English

Generalized solutions of nonlinear differential equations A nonstandard jets approach

Analysis of PDEs 2012-05-03 v1

Abstract

Using the rudiments of pde jets theory in a nonstandard setting, we first deepen and extend previous nonstandard existence results for generalized solutions of linear differential equations and second extend the previous results for linear differential equations to a much broader class of nonlinear differential equations.

Keywords

Cite

@article{arxiv.1205.0510,
  title  = {Generalized solutions of nonlinear differential equations A nonstandard jets approach},
  author = {Tom McGaffey},
  journal= {arXiv preprint arXiv:1205.0510},
  year   = {2012}
}