Almost global existence for the nonlinear Klein-Gordon equation in the nonrelativistic limit
| العنوان: | Almost global existence for the nonlinear Klein-Gordon equation in the nonrelativistic limit |
|---|---|
| المؤلفون: | Stefano Pasquali |
| سنة النشر: | 2017 |
| مصطلحات موضوعية: | 010102 general mathematics, FOS: Physical sciences, Statistical and Nonlinear Physics, Mathematical Physics (math-ph), 010103 numerical & computational mathematics, 01 natural sciences, symbols.namesake, Nonlinear system, Mathematics - Analysis of PDEs, Norm (mathematics), FOS: Mathematics, symbols, 0101 mathematics, Klein–Gordon equation, Mathematical Physics, Analysis of PDEs (math.AP), Mathematical physics, Mathematics |
| الوصف: | We study the one-dimensional nonlinear Klein-Gordon (NLKG) equation with a convolution potential, and we prove that solutions with small $H^s$ norm remain small for long times. The result is uniform with respect to $c \geq 1$, which however has to belong to a set of large measure. Some typos corrected |
| اللغة: | English |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d4a6ef8e201b982c50635399f3c00bbd http://arxiv.org/abs/1703.01618 |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....d4a6ef8e201b982c50635399f3c00bbd |
| قاعدة البيانات: | OpenAIRE |
| الوصف غير متاح. |