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math.AP2014
Semilinear pseudodifferential equations in spaces of tempered ultradistributions
Marco Cappiello, Stevan Pilipovic, Bojan Prangoski
We study a class of semilinear elliptic equations on spaces of tempered ultradistributions of Beurling and Roumieu type. Assuming that the linear part of the equation is an ellipti…
math.AP2014★ 3 cited
Parametrices and hypoellipticity for pseudodifferential operators on spaces of tempered ultraditributions
Marco Cappiello, Stevan Pilipovic, Bojan Prangoski
We construct parametrices for a class of pseudodifferential operators of infinite order acting on spaces of tempered ultradistributions of Beurling and Roumieu type. As a consequen…
math.AP2014
Some remarks on the radius of spatial analyticity for the Euler equations
Marco Cappiello, Fabio Nicola
We consider the Euler equations on with analytic data and prove lower bounds for the radius of spatial analyticity of the solution using a new method based on…