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.

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Attribution 4.0 International

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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