English

Gevrey estimates for certain moment partial differential equations

Analysis of PDEs 2019-11-28 v2 Complex Variables

Abstract

We consider the Cauchy problem for inhomogeneous linear moment differential equations with holomorphic time dependent coefficients. Using such tools as the formal norms, theory of majorants and the properties of the Newton polygon, we obtain the Gevrey estimate for the formal solution of the equation.

Keywords

Cite

@article{arxiv.1812.10698,
  title  = {Gevrey estimates for certain moment partial differential equations},
  author = {Sławomir Michalik and Maria Suwińska},
  journal= {arXiv preprint arXiv:1812.10698},
  year   = {2019}
}

Comments

13 pages, 1 figure

R2 v1 2026-06-23T06:57:14.415Z