The heat equation and the shrinking
dc.contributor.author | Kawagishi, Masaki | |
dc.contributor.author | Yamanaka, Takesi | |
dc.date.accessioned | 2021-01-27T14:46:07Z | |
dc.date.available | 2021-01-27T14:46:07Z | |
dc.date.issued | 2003-09-17 | |
dc.description.abstract | This 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.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 14 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Kawagishi, M., & Yamanaka, T. (2003). The heat equation and the shrinking. <i>Electronic Journal of Differential Equations, 2003</i>(97), pp. 1-14. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/13148 | |
dc.language.iso | en | |
dc.publisher | Southwest Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
dc.subject | Partial differential equation | |
dc.subject | Heat equation | |
dc.subject | Shrinking | |
dc.subject | Delay | |
dc.subject | Gevrey | |
dc.title | The heat equation and the shrinking | |
dc.type | Article |