Abstract
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.
Original language | English |
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Pages (from-to) | 1-30 |
Number of pages | 30 |
Journal | Zeitschrift fur Angewandte Mathematik und Physik |
Volume | 62 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2011 Feb |
Keywords
- Elliptic equations
- Gaussian decay estimates
- Nonlinear convection-diffusion equations
- Standing wave solutions to nonlinear Schrödinger equations
- The Haraux-Weissler equations
ASJC Scopus subject areas
- Mathematics(all)
- Physics and Astronomy(all)
- Applied Mathematics