Article Contents
Article Contents

Generalized solutions for the abstract singular Cauchy problem

• In this work we study existence of solutions in convoluted sense for the abstract singular Cauchy problem. We relate the existence of convoluted solutions with the existence of a generalized singular evolution operator, and we establish a Hille-Yosida type theorem to characterize the existence of a local generalized singular evolution operator.
Mathematics Subject Classification: Primary: 34G10, 35K65; Secondary: 47D62.

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