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

被引：2

作者：

Maekawa, Yasunori

机构：

[1] Nada-ku, Kobe 657-8501, 1-1, Rokkodai

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2011年 / 62卷 / 01期

基金：

日本学术振兴会;

关键词：

Elliptic equations; Gaussian decay estimates; Nonlinear convection-diffusion equations; The Haraux-Weissler equations; Standing wave solutions to nonlinear Schrodinger equations; SELF-SIMILAR SOLUTIONS; HARAUX-WEISSLER EQUATION; NONLINEAR SCHRODINGER-EQUATION; POSITIVE RADIAL SOLUTIONS; SCALAR FIELD-EQUATIONS; HEAT-EQUATION; NONUNIQUENESS; UNIQUENESS; SYMMETRY;

D O I：

10.1007/s00033-010-0080-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 Schrodinger equations with harmonic potential.

引用

页码：1 / 30

页数：30

共 25 条

[1] SELF-SIMILAR SOLUTIONS OF A CONVECTION DIFFUSION EQUATION AND RELATED SEMILINEAR ELLIPTIC PROBLEMS [J].