English

Classical approximation of a linearized three waves kinetic equation

Analysis of PDEs 2020-07-15 v2 Mathematical Physics math.MP

Abstract

The fundamental solution of the classical approximation of a three waves kinetic equation that happens in the kinetic theory of a condensed gas of bosons near the critical temperature is obtained. It is also proved to be unique in a suitable space of distributions and several of its properties are described. The fundamental solution is used to solve the initial value problem for a general class of initial data.

Keywords

Cite

@article{arxiv.2005.12984,
  title  = {Classical approximation of a linearized three waves kinetic equation},
  author = {Miguel Escobedo},
  journal= {arXiv preprint arXiv:2005.12984},
  year   = {2020}
}

Comments

54 pages. One Proposition and two references have been added. Some misprints have been corrected

R2 v1 2026-06-23T15:50:01.013Z