logo-site
Sci Math

Article Contents

1. Titles

2. Authors

3. DOI

4. Publisher

5. Publication year

6. Abstract

On the asymptotic behaviour of solutions of the first initial boundary-value problems for parabolic equations

Authors: Nguyễn Mạnh Hùng, Trần Thị Loan,

https://doi.org/10.1023/B:UKMA.0000010766.51415.08

Publisher, magazine: ,

Publication year: 2003

  Lưu        Trích dẫn         Chia sẻ

Abstract

We consider the first initial boundary-value problem for a strongly parabolic system on an infinite cylinder with nonsmooth boundary. We prove some results on the existence, uniqueness, and asymptotic behavior of solutions as t → ∞.

Tags: Asymptotic Behavior, Parabolic Equation, Parabolic System, Infinite Cylinder, Nonsmooth Boundary

Trở lại

Các bài viết liên quan đến tác giả Nguyễn Mạnh Hùng

On the smoothness of the generalized solution of a parabolic system in domains with conic points on the boundary

On the smoothness of a generalized solution of the first initial boundary-value problem for strongly parabolic systems in a cylinder with nonsmooth base with respect to time variable

On the solvability of the first initial boundary value problem for Schrodinger systems in infinite cylinders

On the asymptotic behavior of generalized solution of parabolic systems in a neighborhood of conic point

On the smoothness of the solutions of the first initial boundary value problem for Schrodinger systems in infinite cylinders

Existence and smoothness of solutions to second initial boundary value problems for Schrodinger systems in cylinders with non-smooth bases

On the stability of semilinear nonautonomous evolution equations in Banach spaces and its application to strongly parabolic equations

On the smoothness of solutions of the first initial boundary value problem for Schrodinger systems in domains with conical points

On the asymptotic behaviour of solutions of the first initial boundary-value problems for parabolic equations

On the smoothness of solution of the mixed boundary value problem for the second order hyperbolic equation in a neighbourhood of an edge