Qualitative properties of solutions to semilinear heat equations with singular initial data

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dc.contributor.authorLi, Junjie
dc.date.accessioned2021-04-19T14:11:40Z
dc.date.available2021-04-19T14:11:40Z
dc.date.issued2004-04-08
dc.description.abstractThis article concerns the nonnegative solutions to the Cauchy problem ut - ∆u + b(x, t) |u|p-1 u = 0 in ℝN x (0, ∞), u(x, 0) = u0(x) in ℝN. We investigate how the comparison principle, extinction in finite time, instantaneous shrinking of support, and existence of solutions depend on the behaviour of the coefficient b(x, t).
dc.description.departmentMathematics
dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationLi, J. (2004). Qualitative properties of solutions to semilinear heat equations with singular initial data. <i>Electronic Journal of Differential Equations, 2004</i>(53), pp. 1-12.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13390
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, 2004, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectComparison principle
dc.subjectExtinction
dc.subjectShrinking of support
dc.subjectExistence
dc.titleQualitative properties of solutions to semilinear heat equations with singular initial dataen_US
dc.typeArticle

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