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

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.

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Date:1996
Main Authors: Tedeev, A. F., Тедеев, А. Ф.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1996
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5271
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Tedeev, A. F.
Тедеев, А. Ф.
Тедеев, А. Ф.
author_facet Tedeev, A. F.
Тедеев, А. Ф.
Тедеев, А. Ф.
author_sort Tedeev, A. F.
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
collection OJS
datestamp_date 2020-03-18T21:29:03Z
description 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.
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spelling umjimathkievua-article-52712020-03-18T21:29:03Z Two-sided estimates of a solution of the Neumann problem as $t \rightarrow \infty$ for a second-order Quasilinear Parabolic Equation Двусторонние оценки решения задачи Неймана при $t \rightarrow \infty$ для квазилинейного параболического уравнения второго порядка Tedeev, A. F. Тедеев, А. Ф. Тедеев, А. Ф. 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. Одержані точні оцінки зверху та знизу при $t \rightarrow \infty$ норми розв'язку задачі Неймана для квазілінійного параболічного рівняння другого порядку, яка розглядається в області $D = Ω × \{>0\},$, де $Ω$, —область з некомпактною межею. Institute of Mathematics, NAS of Ukraine 1996-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5271 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 7 (1996); 989-998 Український математичний журнал; Том 48 № 7 (1996); 989-998 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5271/7234 https://umj.imath.kiev.ua/index.php/umj/article/view/5271/7235 Copyright (c) 1996 Tedeev A. F.
spellingShingle Tedeev, A. F.
Тедеев, А. Ф.
Тедеев, А. Ф.
Two-sided estimates of a solution of the Neumann problem as $t \rightarrow \infty$ for a second-order Quasilinear Parabolic Equation
title Two-sided estimates of a solution of the Neumann problem as $t \rightarrow \infty$ for a second-order Quasilinear Parabolic Equation
title_alt Двусторонние оценки решения задачи Неймана при $t \rightarrow \infty$ для квазилинейного параболического уравнения второго порядка
title_full Two-sided estimates of a solution of the Neumann problem as $t \rightarrow \infty$ for a second-order Quasilinear Parabolic Equation
title_fullStr Two-sided estimates of a solution of the Neumann problem as $t \rightarrow \infty$ for a second-order Quasilinear Parabolic Equation
title_full_unstemmed Two-sided estimates of a solution of the Neumann problem as $t \rightarrow \infty$ for a second-order Quasilinear Parabolic Equation
title_short Two-sided estimates of a solution of the Neumann problem as $t \rightarrow \infty$ for a second-order Quasilinear Parabolic Equation
title_sort two-sided estimates of a solution of the neumann problem as $t \rightarrow \infty$ for a second-order quasilinear parabolic equation
url https://umj.imath.kiev.ua/index.php/umj/article/view/5271
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