Peano type theorem for abstract parabolic equations
Oleg Zubelevich
Department of Differential Equations and Mathematical Physics, Peoples Friendship University of Russia, Ordzhonikidze st., 3, 117198, Moscow, Russia
![Peano type theorem for abstract parabolic equations cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-aihpc-volume-26-issue-4.png&w=3840&q=90)
Abstract
We consider parabolic problems with non-Lipschitz nonlinearity in the different scales of Banach spaces and prove local-in-time existence theorem.
Cite this article
Oleg Zubelevich, Peano type theorem for abstract parabolic equations. Ann. Inst. H. Poincaré Anal. Non Linéaire 26 (2009), no. 4, pp. 1407–1421
DOI 10.1016/J.ANIHPC.2008.12.002