Cone invariance and squeezing properties for inertial manifolds for nonautonomous evolution equations

• Autorzy: Norbert Koksch , Stefan Siegmund
• Języki publikacji: EN

Abstrakty

EN

In this paper we summarize an abstract approach to inertial manifolds for nonautonomous dynamical systems. Our result on the existence of inertial manifolds requires only two geometrical assumptions, called cone invariance and squeezing property, and some additional technical assumptions like boundedness or smoothing properties. We apply this result to processes (two-parameter semiflows) generated by nonautonomous semilinear parabolic evolution equations.

Kategorie tematyczne

• 34D45: Attractors
• 34G20: Nonlinear equations
• 37L25: Inertial manifolds and other invariant attracting sets
• 35B42: Inertial manifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2003
• Tom: 60
• Numer: 1
• Strony: 27-48

Daty

wydano

2003

Twórcy

autor

Norbert Koksch

• Department of Mathematics, Technical University Dresden, 01062, Dresden, Germany

autor

Stefan Siegmund

• Department of Mathematics, University of California, Berkeley, CA 94720, USA

Identyfikatory

DOI

10.4064/bc60-0-2