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math.AP2015★ 3 cited
Pointwise decay and smoothness for semilinear elliptic equations and travelling waves
Marco Cappiello, Fabio Nicola
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 m…
math.AP2015
Sharp decay estimates and smoothness for solutions to nonlocal semilinear equations
Marco Cappiello, Fabio Nicola
We consider semilinear equations of the form p(D)u=F(u), with a locally bounded nonlinearity F(u), and a linear part p(D) given by a Fourier multiplier. The multiplier p(ξ) is the…