Existence of asymptotic speed of solutions to birth and spread type nonlinear partial differential equations

Yoshikazu Giga; Hiroyoshi Mitake; Takeshi Ohtsuka; Hung V. Tran

Existence of asymptotic speed of solutions to birth and spread type nonlinear partial differential equations

Analysis of PDEs 2018-08-21 v1 Numerical Analysis

Authors: Yoshikazu Giga , Hiroyoshi Mitake , Takeshi Ohtsuka , Hung V. Tran

Abstract

In this paper, we prove the existence of asymptotic speed of solutions to fully nonlinear, possibly degenerate parabolic partial differential equations in a general setting. We then give some explicit examples of equations in this setting and study further properties of the asymptotic speed for each equation. Some numerical results concerning the asymptotic speed are presented.

Keywords

asymptotic speed nonlinear parabolic pdes degenerate equations existence theorem numerical results

Cite

@article{arxiv.1808.06312,
  title  = {Existence of asymptotic speed of solutions to birth and spread type nonlinear partial differential equations},
  author = {Yoshikazu Giga and Hiroyoshi Mitake and Takeshi Ohtsuka and Hung V. Tran},
  journal= {arXiv preprint arXiv:1808.06312},
  year   = {2018}
}

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31 pages

Existence of asymptotic speed of solutions to birth and spread type nonlinear partial differential equations

Abstract

Keywords

Cite

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