Peano type theorem for abstract parabolic equations

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We consider parabolic problems with non-Lipschitz nonlinearity in the different scales of Banach spaces and prove local-in-time existence theorem. New class of parabolic equations that have analytic solutions is obtained.
19 pages

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Analysis of PDEs

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http://salesiana.dossiersoluciones.com/handle/123456789/119288

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0611456
 http://arxiv.org/abs/math/0611456

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arXiv