SINGULAR BACKWARD SELF-SIMILAR SOLUTIONS OF A SEMILINEAR PARABOLIC EQUATION

Shota Sato; EIJI YANAGIDA

首页> 外文期刊>Discrete and continuous dynamical systems >SINGULAR BACKWARD SELF-SIMILAR SOLUTIONS OF A SEMILINEAR PARABOLIC EQUATION

【24h】

SINGULAR BACKWARD SELF-SIMILAR SOLUTIONS OF A SEMILINEAR PARABOLIC EQUATION

机译：半线性抛物方程的奇异向后自相似解

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

We consider a parabolic partial differential equation with power nonlinearity. Our concern is the existence of a singular solution whose singularity becomes anomalous in finite time. First we study the structure of singular radial solutions for an equation derived by backward self-similar variables. Using this, we obtain a singular backward self-similar solution whose singularity becomes stronger or weaker than that of a singular steady state.

机译：我们考虑具有功率非线性的抛物型偏微分方程。我们关注的是奇异解的存在，其奇异性在有限的时间内变得异常。首先，我们研究由后向自相似变量导出的方程的奇异径向解的结构。使用此方法，我们获得了奇异的向后自相似解，其奇异性比奇异稳态变得更强或更弱。

著录项

来源
《Discrete and continuous dynamical systems》 |2011年第4期|p.897-906|共10页
作者
Shota Sato; EIJI YANAGIDA;
展开▼
作者单位

Mathematical Institute Tohoku University Sendai 980-8578, Japan;

Department of Mathematics Tokyo Institute of Technology Meguro-ku, Tokyo 152-8551, Japan;

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类
关键词
semilinear parabolic equation; backward self-similar solution; singular solution; critical exponent;

机译：半线性抛物方程;向后自相似解;奇异解;临界指数;

相似文献

外文文献
中文文献
专利

1. UNIQUENESS OF SINGULAR SELF-SIMILAR SOLUTIONS OF A SEMILINEAR PARABOLIC EQUATION [J] . Quittner Pavol Differential and integral equations . 2018,第11a12期

机译：半线性抛物线方程的奇异自相似解的唯一性
2. FORWARD SELF-SIMILAR SOLUTION WITH A MOVING SINGULARITY FOR A SEMILINEAR PARABOLIC EQUATION [J] . Shota Sato, Eiji Yanagida Discrete and continuous dynamical systems . 2010,第1期

机译：半线性抛物型方程的运动奇异性的前向相似解
3. Global solutions and self-similar solutions of semilinear parabolic equations with nonlinear gradient terms [J] . Qingshan Zhang, Peihu Shi Nonlinear Analysis: An International Multidisciplinary Journal . 2010,第6期

机译：具有非线性梯度项的半线性抛物方程的整体解和自相似解
4. The Control of the Quenching Time for Impulsive Semilinear Parabolic Equation with Singular Term [C] . Renbin Sun, Junhao Hu ICIHDS 2007;International conference on impulsive and hybrid dynamical systems . 2007

机译：具有奇异项的脉冲半线性抛物方程的淬火时间控制
5. Solutions for semilinear parabolic equations in L^P and Regularity of Weak Solutions of the Navier-Stokes System利用統計を見る [D] . Giga Yoshikazu 1985

机译：L ^ P中的半线性抛物方程的解和Navier-Stokes系统的弱解的正则性
6. Hazardous Continuation Backward in Time in Nonlinear Parabolic Equations and an Experiment in Deblurring Nonlinearly Blurred Imagery [O] . Alfred S Carasso 2013

机译：非线性抛物方程在时间上向后的危险连续性以及非线性模糊图像去模糊的实验
7. Singular backward self-similar solutions of a semilinear parabolic equation [O] . Shota Sato, Eiji Yanagida 2011

机译：半线性抛物线方程的奇异向后自相似解
8. Singular Solutions for Some Semilinear Elliptic Equations [R] . Brezis, H., Oswald, L. 1985

机译：一类半线性椭圆型方程的奇异解

SINGULAR BACKWARD SELF-SIMILAR SOLUTIONS OF A SEMILINEAR PARABOLIC EQUATION

摘要

著录项

相似文献

相关主题

期刊订阅