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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…