The heat equation and the shrinking

dc.contributor.authorKawagishi, Masaki
dc.contributor.authorYamanaka, Takesi
dc.date.accessioned2021-01-27T14:46:07Z
dc.date.available2021-01-27T14:46:07Z
dc.date.issued2003-09-17
dc.description.abstractThis article concerns the Cauchy problem for the partial differential equation ∂1u(t, x) - α∂22u(t, x) = ƒ(t, x, ∂p2 u(μ(t) t, x), ∂q2 u(t, v(t)x)). Here t and x are real variables, p and q are positive integers greater than 1, and the shrinking factors μ(t), v(t) are positive-valued functions such that their suprema are less than 1.
dc.description.departmentMathematics
dc.formatText
dc.format.extent14 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationKawagishi, M., & Yamanaka, T. (2003). The heat equation and the shrinking. <i>Electronic Journal of Differential Equations, 2003</i>(97), pp. 1-14.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13148
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.subjectPartial differential equation
dc.subjectHeat equation
dc.subjectShrinking
dc.subjectDelay
dc.subjectGevrey
dc.titleThe heat equation and the shrinking
dc.typeArticle

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