Pointwise decay and smoothness for semilinear elliptic equations and travelling waves

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:443

Article

Cappiello, Marco¹  Nicola, Fabio² 

[1] Univ Turin, Dipartimento Matemat, Via Carlo Alberto 10, I-10129 Turin, Italy

[2] Politecn Torino, Dipartimento Sci Matemat, Corso Duca Abruzzi 24, I-10129 Turin, Italy

关键词: Algebraic decay;    Holomorphic extensions;    Nonlocal semilinear equations;    Travelling waves;   

DOI  :  10.1016/j.jmaa.2016.05.009

来源: Elsevier

【 摘 要 】

We derive sharp decay estimates and prove holomorphic extensions for the solutions of a class of semilinear nonlocal elliptic equations with linear part given by a sum of Fourier multipliers with finitely smooth symbols at the origin. Applications concern the decay and smoothness of travelling waves for nonlinear evolution equations in fluid dynamics and plasma physics. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free