On the solution of the Cauchy problem in the weighted spaces of Beurling ultradistributions

2014/02/13 by c, Stevan Pilipovi\', Prangoski, Bojan, Velinov, Daniel
#FOS: Mathematics #Functional Analysis (math.FA) #Primary 47D03 #Secondary 35A01

paper · doi:10.48550/arxiv.1402.3113

Abstract

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 spaces of ultradistributions \DD'^(s)_L^p((0,T)× U), where U is open and bounded set in \mathbb R^d.

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