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Global attractors in stronger norms for a class of parabolic systems with nonlinear boundary conditions

Global attractors in stronger norms for a class of parabolic systems with nonlinear boundary conditions

Authors :
Meyries, Martin
Source :
Nonlinear Analysis. Mar2012, Vol. 75 Issue 5, p2922-2935. 14p.
Publication Year :
2012

Abstract

Abstract: For a class of quasilinear parabolic systems with nonlinear Robin boundary conditions we construct a compact local solution semiflow in a nonlinear phase space of high regularity. We further show that a priori estimates in lower norms are sufficient for the existence of a global attractor in this phase space. The approach relies on maximal -regularity with temporal weights for the linearized problem. An inherent smoothing effect due to the weights is employed for obtaining gradient estimates. In several applications we can improve the convergence to an attractor by one regularity level. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
0362546X
Volume :
75
Issue :
5
Database :
Academic Search Index
Journal :
Nonlinear Analysis
Publication Type :
Academic Journal
Accession number :
70364526
Full Text :
https://doi.org/10.1016/j.na.2011.11.034