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- W1536210570 abstract "In this paper, we are concerned with backward solvabilities of heat equations, in an abstract framework. We show that semigroups $T_t$ in Banach spaces $X$, generated by heat operators, are extendable to groups in an extended space $E$, which is obtained by considering a sequence of wider Banach spaces containing $X$, i.e. $X$$/subset$$X_t$$/subset$$X_s$... $(t 0$. Another is the backward uniqueness of the semigroup $T_t$. For example, we prove the holomorphic semigroup satisfies the above conditions, and thus is extendable to a group in a larger functional space $E$. We also studied structual properties of the extended space $E$." @default.
- W1536210570 created "2016-06-24" @default.
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- W1536210570 date "2011-12-08" @default.
- W1536210570 modified "2023-09-27" @default.
- W1536210570 title "Extended groups of semigroups and backward problems of heat equations" @default.
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