On parabolic problems with non-Lipschitz nonlinearity

We consider parabolic problems with non-Lipschitz nonlinearities in different scales of Banach spaces and prove local-in-time existence theorems. A new class of parabolic equations that have analytic solutions is obtained. © 2008 Springer Science+Business Media, Inc.

Authors
Zubelevich O. 1
Journal
Journal of Mathematical Sciences
Publisher
Springer New York LLC
Issue number
5
Language
English
Pages
710-725
State
Published
Link
External link
DOI
10.1007/S10958-008-9143-Y
Volume
153
Year
2008
Organizations
  • 1 Department of Differential Equations and Mathematical Physics, Peoples' Friendship University of Russia, Ordzhonikidze str., 3, 117198, Moscow, Russian Federation
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