10 citations · 30 across the 31 of their papers we have counts for
Showing 2015Show all
3 papers · 1 filter
math.FA2015
Pseudo-differential operators in a Gelfand-Shilov setting
Marco Cappiello, Joachim Toft
We introduce some general classes of pseudodifferential operators with symbols admitting exponential type growth at infinity and we prove mapping properties for these operators on…
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…