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This innovative reference contains a detailed study of linear abstract degenerate differential equations and the regularity of their relations, using the semigroups generated by multivalued (linear) operators and extensions of the operational method of Da Prato and Grisvard. Wit…
The proof of the almost everywhere regularity of solutions is then achieved via an extremely delicate combination of local linearization methods, together with a proper use of DiBenedetto's intrinsic geometry: the general approach that consists in performing the local analysis b…