On Gaussian decay estimates of solutions to some linear elliptic equations and their applications

Yasunori Maekawa

研究成果: Article査読

2 被引用数 (Scopus)

抄録

In this paper we establish pointwise decay estimates of solutions to some linear elliptic equations by using the Nash-Moser iteration arguments and the ODE method. As applications we obtain sharp Gaussian decay estimates for solutions to nonlinear elliptic equations that are related with self-similar solutions to nonlinear heat equations and standing wave solutions to nonlinear Schrödinger equations with harmonic potential.

本文言語English
ページ(範囲)1-30
ページ数30
ジャーナルZeitschrift fur Angewandte Mathematik und Physik
62
1
DOI
出版ステータスPublished - 2011 2

ASJC Scopus subject areas

  • 数学 (全般)
  • 物理学および天文学(全般)
  • 応用数学

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