JournalsaihpcVol. 26, No. 4pp. 1407–1421

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
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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