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Peano type theorem for abstract parabolic equations |
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| Authors: | Oleg Zubelevich |
| Affiliation: | aDepartment of Differential Equations and Mathematical Physics, Peoples Friendship University of Russia, Ordzhonikidze st., 3, 117198, Moscow, Russia |
| Abstract: | We consider parabolic problems with non-Lipschitz nonlinearity in the different scales of Banach spaces and prove local-in-time existence theorem. |
| Keywords: | Peano theorem Abstract Cauchy problem Nonlocal problems Functional-differential equations Integro-differential equations Quasilinear parabolic equations |
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