Peano type theorem for abstract parabolic equations

Details Peano type theorem for abstract parabolic equations Peano type theorem for abstract parabolic equations

2006-11-15

arxiv.org/abs/math/0611456v1

Mathematics

Analysis of PDEs

19 pages

Scientific paper

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.

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