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.
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页码：1 / 30
页数：30
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