Abstract parabolic problems with non-Lipschitz critical nonlinearities

• Autorzy: Konrad J. Wąs
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35B33: Critical exponents
• 35K90: Abstract parabolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2010
• Tom: 121
• Numer: 2
• Strony: 203-223

Daty

wydano

2010

Twórcy

autor

Konrad J. Wąs

• Institute of Mathematics, Silesian University, 40-007 Katowice, Poland

Identyfikatory

DOI

10.4064/cm121-2-4