Blow-up of Solutions of Nonlinear Heat Equation with Hypoelliptic Operators on Graded Lie Groups

Bekbolat Bayan; Kassymov Aidyn; Tokmagambetov Niyaz

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Blow-up of Solutions of Nonlinear Heat Equation with Hypoelliptic Operators on Graded Lie Groups

机译：低管术算子对分级谎言群体的非线性热方程解的爆炸

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摘要

In this paper we show blow-up of solutions of the nonlinear heat equation with the Rockland operators on the graded Lie groups. In addition, we give the necessary conditions for the existence of local or global solutions of the nonlinear heat equation with hypoelliptic operators on Heisenberg groups.

机译：在本文中，我们展示了在分级谎言群体上与Rockland运营商的非线性热方程解决方案的爆炸。此外，我们给出了Heisenberg组上的低管术算子存在局部或全球解的必要条件。

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来源
《Complex analysis and operator theory》 |2019年第7期|共11页
作者
Bekbolat Bayan; Kassymov Aidyn; Tokmagambetov Niyaz;
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作者单位

Inst Math &

Math Modeling Alma Ata Kazakhstan;

Inst Math &

Math Modeling Alma Ata Kazakhstan;

Inst Math &

Math Modeling Alma Ata Kazakhstan;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Rockland operator; Hypoelliptic operator; Nonlinear heat equation; A graded Lie group; Blow-up; Fujita exponent;

机译：Rockland操作员;低管操作员;非线性热方程;分级谎言群体;爆炸;富士人数;

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专利

1. Blow-up of Solutions of Nonlinear Heat Equation with Hypoelliptic Operators on Graded Lie Groups [J] . Bekbolat Bayan, Kassymov Aidyn, Tokmagambetov Niyaz Complex analysis and operator theory . 2019,第7期

机译：低管术算子对分级谎言群体的非线性热方程解的爆炸
2. On blow-up solutions for systems of semilinear heat equations with quadratic nonlinearities [J] . JAKOW BARIS, PIOTR BARIS Applicable Analysis . 2007,第11期

机译：具有二次非线性的半线性热方程组的爆破解
3. GLOBAL EXISTENCE AND BLOW-UP OF SOLUTIONS TO A SEMILINEAR HEAT EQUATION WITH SINGULAR POTENTIAL AND LOGARITHMIC NONLINEARITY [J] . Communications on pure and applied analysis . 2020,第2期

机译：具有奇异电位和对数非线性的半线性热方程的全局存在和爆破
4. Blow-Up Solutions for Quasilinear Heat Equations with Nonlinear Boundary Conditions [C] . Juntang Ding, rnShengjia Li ICIHDS 2007;International conference on impulsive and hybrid dynamical systems . 2007

机译：具有非线性边界条件的拟线性热方程的爆破解
5. Rough Hypoellipticity for Local Weak Solutions to the Heat Equation in Dirichlet Spaces [D] . Hou, Qi. 2019

机译：Dirichlet空间中局部弱溶液对局部弱溶液的粗糙度低管
6. Blow-up of solutions of nonlinear wave equations in three space dimensions [O] . Fritz John 1979

机译：三维空间中非线性波动方程解的爆破
7. Blow-up profile for a nonlinear heat equation with the Neumann boundary condition (Evolution Equations and Asymptotic Analysis of Solutions) [O] . Ishige Kazuhiro, Mizoguchi Noriko, Yagisita Hiroki 2004

机译：具有诺伊曼边界条件的非线性热方程的爆破轮廓（演化方程和解的渐近分析）

Blow-up of Solutions of Nonlinear Heat Equation with Hypoelliptic Operators on Graded Lie Groups

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