English

A short remark on a Growth Fragmentation equation

Analysis of PDEs 2017-01-10 v2

Abstract

An explicit solution for a growth fragmentation equation with constant dislocation measure is obtained. In this example the necessary condition for the general results in \cite{BW} about the existence of global solutions in the so called self similar case is not satisfied. The solution is local and blows up in finite time.

Keywords

Cite

@article{arxiv.1611.09324,
  title  = {A short remark on a Growth Fragmentation equation},
  author = {M. Escobedo},
  journal= {arXiv preprint arXiv:1611.09324},
  year   = {2017}
}

Comments

Revised version. Added a reference. Corrected two misprints, in formulas (15) and (29)

R2 v1 2026-06-22T17:07:04.089Z