Kawagishi, MasakiYamanaka, Takesi2021-01-272021-01-272003-09-17Kawagishi, M., & Yamanaka, T. (2003). The heat equation and the shrinking. <i>Electronic Journal of Differential Equations, 2003</i>(97), pp. 1-14.1072-6691https://hdl.handle.net/10877/13148This 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.Text14 pages1 file (.pdf)enAttribution 4.0 InternationalPartial differential equationHeat equationShrinkingDelayGevreyArticle