29 citations · 116 across the 28 of their papers we have counts for
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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…
Convolution of ultradistributions and ultradistribution spaces associated to translation-invariant Banach spaces
Pavel Dimovski, Stevan Pilipovic, Bojan Prangoski +1
We introduce and study a number of new spaces of ultradifferentiable functions and ultradistributions and we apply our results to the study of the convolution of ultradistributions…
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…
On the solution of the Cauchy problem in the weighted spaces of Beurling ultradistributions
Stevan Pilipovi\' c, Bojan Prangoski, Daniel Velinov
Results of Da Prato and Sinestrari, on differential operators with non-dense domain but satisfying the Hille--Yosida condition, are applied in the setting of Beurling weighted spac…