Stability of ground states for a nonlinear parabolic equation

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dc.contributor.authorBisconti, Luca
dc.contributor.authorFranca, Matteo
dc.date.accessioned2022-02-22T18:43:48Z
dc.date.available2022-02-22T18:43:48Z
dc.date.issued2018-08-10
dc.description.abstractWe consider the Cauchy-problem for the parabolic equation ut = ∆u + ƒ(u, |x|), where x ∈ ℝn, n > 2, and ƒ(u, |x|) is either critical or supercritical with respect to the Joseph-Lundgren exponent. In particular, we improve and generalize some known results concerning stability and weak asymptotic stability of positive ground states.
dc.description.departmentMathematics
dc.formatText
dc.format.extent26 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationBisconti, L., & Franca, M. (2018). Stability of ground states for a nonlinear parabolic equation. <i>Electronic Journal of Differential Equations, 2018</i>(151), pp. 1-26.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15400
dc.language.isoen
dc.publisherTexas 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, 2018, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectWeak asymptotic stability
dc.subjectSupercritical parabolic equations
dc.subjectGround states
dc.subjectAsymptotic expansion
dc.titleStability of ground states for a nonlinear parabolic equationen_US
dc.typeArticle

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