Global attractors for a class of degenerate diffusion equations

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dc.contributor.authorTakeuchi, Shingo
dc.contributor.authorYokota, Tomomi
dc.date.accessioned2020-11-25T20:30:06Z
dc.date.available2020-11-25T20:30:06Z
dc.date.issued2003-07-11
dc.description.abstractIn this paper we give two existence results for a class of degenerate diffusion equations with p-Laplacian. One is on a unique global strong solution, and the other is on a global attractor. It is also shown that the global attractor coincides with the unstable set of the set of all stationary solutions. As a by-product, an a-priori estimate for solutions of the corresponding elliptic equations is obtained.
dc.description.departmentMathematics
dc.formatText
dc.format.extent13 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationTakeuchi, S., & Yokota, T. (2003). Global attractors for a class of degenerate diffusion equations. <i>Electronic Journal of Differential Equations, 2003</i>(76), pp. 1-13.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13016
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectGlobal attractors
dc.subjectp-Laplacian
dc.subjectDegenerate diffusion
dc.titleGlobal attractors for a class of degenerate diffusion equations
dc.typeArticle

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