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A certain degenerate evolution equation of the subdifferential type
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Implicit Degenerate Evolution Equations and Applications
SIAM Journal on Mathematical Analysis, 1981The initial-value problem is studied for evolution equations in Hilbert space of the general form d se(u)+N(u) l:, dt where and are maximal monotone operators. Existence of a solution is proved when1 is a subgradient and either is strongly monotone or 9 is coercive; existence is established also in the case where 1 is strongly monotone and is ...
DiBenedetto, Emmanuele, Showalter, R. E.
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Nonlinear Degenerate Fractional Evolution Equations with Nonlocal Conditions
Fundamenta Informaticae, 2017We investigate the unique solvability of a class of nonlinear nonlocal differential equations associated with degenerate linear operator at the fractional Caputo derivative. For the main results, we use the theory of fractional calculus and (L, p)-boundedness technique that based on the analysis of both strongly (L, p)-sectorial operators and strongly (
Derdar, Nedjemeddine, Debbouche, Amar
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