Geodesic
Abstract parabolic problems with non-Lipschitz critical nonlinearities
Konrad J. W/as 1
1 Institute of Mathematics Silesian University 40-007 Katowice, Poland
Colloquium Mathematicum, Tome 121 (2010) no. 2, pp. 203-223 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The Cauchy problem for a semilinear abstract parabolic equation is considered in a fractional power scale associated with a sectorial operator appearing in the linear main part of the equation. Existence of local solutions is proved for non-Lipschitz nonlinearities satisfying a certain critical growth condition.
DOI : 10.4064/cm121-2-4
Keywords: cauchy problem semilinear abstract parabolic equation considered fractional power scale associated sectorial operator appearing linear main part equation existence local solutions proved non lipschitz nonlinearities satisfying certain critical growth condition

Konrad J. W/as  1

1 Institute of Mathematics Silesian University 40-007 Katowice, Poland 
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Konrad J. W/as. Abstract parabolic problems
 with non-Lipschitz critical nonlinearities. Colloquium Mathematicum, Tome 121 (2010) no. 2, pp. 203-223. doi: 10.4064/cm121-2-4

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