Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1180.35126
Song, Lingyu; Zhang, Yindi; Ma, Tian
Global attractor of a modified Swift-Hohenberg equation in $H^k$ spaces. (English)
[J] Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 1, A, 183-191 (2010). ISSN 0362-546X

Summary: By using an iteration procedure, regularity estimates for linear semigroups and a classical existence theorem of a global attractor, we prove that a modified Swift-Hohenberg equation $u_t= - \varDelta ^{2}u+g(u)$ possesses a global attractor in the Sobolev space $H^k$ for all $k\geq 0$, which attracts any bounded subset of $H^k(\varOmega )$ in the $H^k$-norm.

MSC 2000:: *35B41 Attractors
35K35 Higher order parabolic equations, boundary value problems
35K58

Keywords: iteration procedure; regularity estimates

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]