English

Variational Approach to Complicated Similarity Solutions of Higher-Order Nonlinear PDEs. II

Analysis of PDEs 2015-03-19 v1

Abstract

Some higher-order quasilinear parabolic, hyperbolic, and nonlinear dispersion equations are shown to admit various blow-up, extinction, and travelling wave solutions, which reduce to variational problems admitting countable families of compactly supported solutions.

Keywords

Cite

@article{arxiv.1103.2643,
  title  = {Variational Approach to Complicated Similarity Solutions of Higher-Order Nonlinear PDEs. II},
  author = {V. A. Galaktionov and E. Mitidieri and S. I. Pohozaev},
  journal= {arXiv preprint arXiv:1103.2643},
  year   = {2015}
}

Comments

48 pages, 26 figures