Abstract parabolic problems in ordered Banach spaces

• Autorzy: Alexandre N. Carvalho , Jan W. Cholewa , Tomasz Dlotko
• Języki publikacji: EN

Abstrakty

EN

We consider abstract parabolic problems in ordered Banach spaces and give conditions under which they have global attractors. Our approach is via comparison of solutions. Within this approach abstract comparison principles are obtained and bounds on the attractors are given by order intervals in Banach spaces. These results are applied to ordinary differential equations and to parabolic equations for which the main part is given by a sum of fractional powers of sectorial operators having increasing resolvents and integral operators having positive kernels.

Kategorie tematyczne

• 35S15: Boundary value problems for pseudodifferential operators
• 35K90: Abstract parabolic equations
• 35B40: Asymptotic behavior of solutions
• 35B41: Attractors

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2001
• Tom: 90
• Numer: 1
• Strony: 1-17

Daty

wydano

2001

Twórcy

autor

Alexandre N. Carvalho

• Departamento de Matemática, Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, Campus de São Carlos, Caixa Postal 668, 13.560-970 São Carlos SP, Brazil

autor

Jan W. Cholewa

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

autor

Tomasz Dlotko

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

Identyfikatory

DOI

10.4064/cm90-1-1