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- W196399341 abstract "where f : ro,+ro[ x 0 + X is a smooth function, O,X are Banach spaces with D continuously embedded in X, and U o c D. Local and global existence and uniqueness results for the solution of (*) have been proved in [LS1], [LS2] under the assumptions that f(O,u O) belongs to a suitable intermediate space between 0 and X, and for each t > a and Y E D the linear operator (t,y) : 0 + X generates an analytic semi group in X. Here we show that, if f belongs to Cro([O,+ro[ x D;X) and [0, T[ is the maximal interval of definition of the solution u of (*), then u belongs to C ro( ]O,T[;O). Moreover, if certain compatibility conditions hold, u belongs to COO([O,T[;O)." @default.
- W196399341 created "2016-06-24" @default.
- W196399341 creator A5065428845 @default.
- W196399341 date "1986-01-01" @default.
- W196399341 modified "2023-09-27" @default.
- W196399341 title "C∞ regularity for fully nonlinear abstract evolution equations" @default.
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- W196399341 doi "https://doi.org/10.1007/bfb0099192" @default.
- W196399341 hasPublicationYear "1986" @default.
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