Two-sided estimates of a solution of the Neumann problem as $t \rightarrow \infty$ for a second-order Quasilinear Parabolic Equation

  • A. F. Tedeev Ин-т прикл. математики и механики НАН Украины, Донецк

Abstract

We establish exact upper and lower bounds as $t \rightarrow \infty$ for the norm ‖u(·, t)‖ L ∞(Ω) of a solution of the Neumann problem for a second-order quasilinear parabolic equation in the region D=Ω×{>0}, where Ω is a region with noncompact boundary.
Published
25.07.1996
How to Cite
TedeevA. F. “Two-Sided Estimates of a Solution of the Neumann Problem As $t \rightarrow \infty$ for a Second-Order Quasilinear Parabolic Equation”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 48, no. 7, July 1996, pp. 989-98, https://umj.imath.kiev.ua/index.php/umj/article/view/5271.
Section
Research articles