Large Time Behavior of Solutions to a Class of Doubly Nonlinear Parabolic Equations
Date
1994-03-15
Authors
Manfredi, Juan J.
Vespri, Vincenzo
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We study the large time asymptotic behavior of solutions of the doubly degenerate parabolic equation ut = div |u|m−1|∇u|p−2∇u in a cylinder Ω × R+, with initial condition u(x, 0) = u0(x) in Ω and vanishing on the parabolic boundary ∂Ω × R+. Here Ω is a bounded domain in RN , the exponents m and p satisfy m + p ≥ 3, p > 1, and the initial datum u0 is in L1(Ω).
Description
Keywords
Doubly nonlinear parabolic equations, Asymptotic behavior
Citation
Manfredi, J. J. & Vespri, V. (1994). Large time behavior of solutions to a class of doubly nonlinear parabolic equations. <i>Electronic Journal of Differential Equations, 1994</i>(02), pp. 1-17.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.