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THE WELLPOSEDNESS OF ABSTRACT CAUCHY PROBLEMAND SEMIGROUPS OF OPERATORS
抽象Cauchy问题的适定性与算子半群

Keywords: The abstract Cauchy problem,C-sendgroup,generator,C-wellposedness,(n,k)-wellposedness
抽象Cauchy问题
,C半群,生成元,C适定,(n,k)适定

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Abstract:

In the case where A is not defined densely and the solutions are exponentiallyunbounded, we consider the wellposedness of the abstract Cauchy Problem and its relation tothe semigroups generated by A. First, we introduce a new concept- C- wellpos

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