The heat equation and the shrinking
Date
2003-09-17
Authors
Kawagishi, Masaki
Yamanaka, Takesi
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
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.
Description
Keywords
Partial differential equation, Heat equation, Shrinking, Delay, Gevrey
Citation
Kawagishi, M., & Yamanaka, T. (2003). The heat equation and the shrinking. <i>Electronic Journal of Differential Equations, 2003</i>(97), pp. 1-14.
Rights
Attribution 4.0 International