This work presents a detailed study of linear abstract degenerate
differential equations, using both the semigroups generated by
multivalued (linear) operators and extensions of the operational
method from Da Prato and Grisvard. The authors describe the recent
and original results on PDEs and algebraic-differential equations,
and establishes the analyzability of the semigroup generated by
some degenerate parabolic operators in spaces of continuous
functions.
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