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.

Pointwise decay and smoothness for semilinear elliptic equations and travelling waves

CAPPIELLO, Marco;
2016-01-01

Abstract

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.
2016
443
1
1
10
http://www.elsevier.com/inca/publications/store/6/2/2/8/8/6/index.htt
Algebraic decay; Holomorphic extensions; Nonlocal semilinear equations; Travelling waves; Analysis; Applied Mathematics
Cappiello, Marco; Nicola, Fabio
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1622543
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