胡家信｜清华大学｜学者主页

2026

Strong Elliptic Harnack Inequality and Heat Kernel Estimate for the Resurrected Dirichlet Form

Jiaxin Hu, Zhenyu Yu

Potential Analysis

DOI

2023

The weak elliptic Harnack inequality revisited

Jiaxin Hu, Zhenyu Yu

Asian Journal of Mathematics

DOI

2023

Parabolic mean value inequality and on-diagonal upper bound of the heat kernel on doubling spaces

Alexander Asaturovich Grigor'yan, Eryan Hu, Jiaxin Hu

Mathematische Annalen

DOI

2023

Off-diagonal lower estimates and Hölder regularity of the heat kernel

Alexander Asaturovich Grigor'yan, Eryan Hu, Jiaxin Hu

Asian Journal of Mathematics

DOI

2022

Upper estimates of heat kernels for non-local Dirichlet forms on doubling spaces

Jiaxin Hu, Guanhua Liu

Forum Mathematicum

DOI

2019

Geometry of self-similar measures on intervals with overlaps and applications to sub-Gaussian heat kernel estimates

Qingsong Gu, Jiaxin Hu, Sze-Man Ngai

Communications on Pure &amp Applied Analysis

DOI

2018

Two-sided estimates of heat kernels of jump type Dirichlet forms

Alexander Asaturovich Grigor'yan, Eryan Hu, Jiaxin Hu

Advances in Mathematics

DOI

2018

The Davies method revisited for heat kernel upper bounds of regular Dirichlet forms on metric measure spaces

Jiaxin Hu, Xuliang Li

Forum Mathematicum

DOI

2017

Lower estimates of heat kernels for non-local Dirichlet forms on metric measure spaces

Alexander Asaturovich Grigor'yan, Eryan Hu, Jiaxin Hu

Journal of Functional Analysis

DOI

2015

Generalized capacity, Harnack inequality and heat kernels of Dirichlet forms on metric measure spaces

Alexander Asaturovich Grigor'yan, Jiaxin Hu, Ka‐Sing Lau

Journal of the Mathematical Society of Japan

DOI

2014

Estimates of heat kernels for non-local regular Dirichlet forms

Alexander Asaturovich Grigor'yan, Jiaxin Hu, Ka‐Sing Lau

Transactions of the American Mathematical Society

DOI

2013

分形分析引论

胡家信

《科学出版社》

2012

Heat Kernels and Green Functions on Metric Measure Spaces

Alexander Asaturovich Grigor'yan, Jiaxin Hu

Canadian Journal of Mathematics

DOI

2012

Inhomogeneous parabolic equations on unbounded metric measure spaces

K. J. Falconer, Jiaxin Hu, Yuhua Sun

Proceedings of the Royal Society of Edinburgh Section A Mathematics

DOI

2010

Comparison inequalities for heat semigroups and heat kernels on metric measure spaces

Alexander Asaturovich Grigor'yan, Jiaxin Hu, Ka‐Sing Lau

Journal of Functional Analysis

DOI

2010

Schröodinger equations and heat kernel upper bounds on metric spaces

Jiaxin Hu, Martina Zähle

Forum Mathematicum

DOI

2009

Generalized Bessel and Riesz Potentials on Metric Measure Spaces

Jiaxin Hu, Martina Zähle

Potential Analysis

DOI

2008

Off-diagonal upper estimates for the heat kernel of the Dirichlet forms on metric spaces

Alexander Asaturovich Grigor'yan, Jiaxin Hu

Inventiones mathematicae

DOI

2008

AN ANALYTICAL APPROACH TO HEAT KERNEL ESTIMATES ON STRONGLY RECURRENT METRIC SPACES

Jiaxin Hu

Proceedings of the Edinburgh Mathematical Society

DOI

2008

A note on the limiting weak-type behavior for maximal operators

Jiaxin Hu, Xueping Huang

Proceedings of the American Mathematical Society

DOI

2007

Obtaining upper bounds of heat kernels from lower bounds

Alexander Asaturovich Grigor'yan, Jiaxin Hu, Ka‐Sing Lau

Communications on Pure and Applied Mathematics

DOI

2007

Heat kernel estimates on effective resistance metric spaces

Jiaxin Hu, Yuan Ji, Wen Zhiying

Progress in Natural Science Materials International

DOI

2006

Laplace operators related to self-similar measures on R d

Jiaxin Hu, Ka‐Sing Lau, Sze-Man Ngai

Journal of Functional Analysis

DOI

2006

Equivalence conditions for on-diagonal upper bounds of heat kernels on self-similar spaces

Alexander Asaturovich Grigor'yan, Jiaxin Hu, Ka‐Sing Lau

Journal of Functional Analysis

DOI

2006

Domains of Dirichlet forms and effective resistance estimates on p.c.f. fractals

Jiaxin Hu, Xingsheng Wang

Studia Mathematica

DOI

2005

Jump processes and nonlinear fractional heat equations on metric measure spaces

Jiaxin Hu, Martina Zähle

Mathematische Nachrichten

DOI

2005

Potential spaces on fractals

Jiaxin Hu, Martina Zähle

Studia Mathematica

DOI

2004

Sierpinski垫上一类非线性椭圆方程的多值解

胡家信

《中国科学:数学》

2004

Multiple solutions for a class of nonlinear elliptic equations on the Sierpiński gasket

Jiaxin Hu

DOI

2003

A note on Hajłasz–Sobolev spaces on fractals

Jiaxin Hu

Journal of Mathematical Analysis and Applications

DOI

2003

Heat kernels on metric measure spaces and an application to semilinear elliptic equations

Alexander Asaturovich Grigor'yan, Jiaxin Hu, Ka‐Sing Lau

Transactions of the American Mathematical Society

DOI

2002

THE NAGUMO EQUATION ON SELF-SIMILAR FRACTAL SETS

Jiaxin Hu

DOI

2002

Nonlinear wave equations on a class of bounded fractal sets

Jiaxin Hu

DOI

2001

Nonlinear Diffusion Equations on Bounded Fractal Domains

Jiaxin Hu

Zeitschrift für Analysis und ihre Anwendungen

DOI

2001

Nonlinear Diffusion Equations on Unbounded Fractal Domains

K. Falconer, Jiaxin Hu

DOI

2001

Nonlinear partial differential equations on fractals

Jiaxin Hu

1999

具有泛函解的二维非线性双曲型守恒律组

胡家信

《数学学报(中文版)》

1999

无压气体动力学方程组二维Riemann问题的泛函解

彭向阳，胡家信

《中南大学学报(自然科学版)》

1999

三维非线性双曲型守恒律组的非古典激波

彭向阳，胡家信

《江西理工大学学报》

1999

Non-linear Elliptical Equations on the Sierpinski Gasket ´

K. Falconer, Jiaxin Hu

DOI

1998

THE RIEMANN PROBLEM FOR A TWO-DIMENSIONAL HYPERBOLIC SYSTEM OF CONSERVATION LAWS WITH NON-CLASSICAL SHOCK WAVES

胡家信

Acta Mathematica Scientia

1997

具有古典弱解二维双典型守恒律组Riemann问题

胡家信

《长沙大学学报》

1997

THE RIEMANN PROBLEM FOR A TWO-DIMENSIONAL HYPERBOLIC SYSTEM OF CONSERVATION LAWS WITH NON-CLASSICAL WEAK SOLUTIONS:SOME ONE-J AND NON-R INITIAL DATA

胡家信

Acta Mathematica Scientia

1996

具有非古典弱解的二维双曲型守恒律组的Riemann问题

胡家信

《长沙大学学报》

1996

A KINETIC APPROACH TO SCALAR MULTI-DIMENSIONAL CONSERVATION LAWS

胡家信

Acta Mathematica Scientia

1993

EXISTENCE OF GENERALIZED SOLUTIONS TO A HYPERBOLIC MODEL OF COMBUSTION

陆云光，胡家信

Acta Mathematica Scientia

1992

A LIMITING VISCOSITY APPROACH TO THE RIEMANN PROBLEM FOR TRANSONIC FLOW

胡家信

Acta Mathematica Scientia

1990

单个平衡律方程弱解的存在性

胡家信

《数学物理学报》

精选作品

期刊论文

Strong Elliptic Harnack Inequality and Heat Kernel Estimate for the Resurrected Dirichlet Form

The weak elliptic Harnack inequality revisited

Parabolic mean value inequality and on-diagonal upper bound of the heat kernel on doubling spaces

Off-diagonal lower estimates and Hölder regularity of the heat kernel

Upper estimates of heat kernels for non-local Dirichlet forms on doubling spaces

Geometry of self-similar measures on intervals with overlaps and applications to sub-Gaussian heat kernel estimates

Two-sided estimates of heat kernels of jump type Dirichlet forms

The Davies method revisited for heat kernel upper bounds of regular Dirichlet forms on metric measure spaces

Lower estimates of heat kernels for non-local Dirichlet forms on metric measure spaces

Generalized capacity, Harnack inequality and heat kernels of Dirichlet forms on metric measure spaces

Estimates of heat kernels for non-local regular Dirichlet forms

分形分析引论

Heat Kernels and Green Functions on Metric Measure Spaces

Inhomogeneous parabolic equations on unbounded metric measure spaces

Comparison inequalities for heat semigroups and heat kernels on metric measure spaces

Schröodinger equations and heat kernel upper bounds on metric spaces

Generalized Bessel and Riesz Potentials on Metric Measure Spaces

Off-diagonal upper estimates for the heat kernel of the Dirichlet forms on metric spaces

AN ANALYTICAL APPROACH TO HEAT KERNEL ESTIMATES ON STRONGLY RECURRENT METRIC SPACES

A note on the limiting weak-type behavior for maximal operators

Obtaining upper bounds of heat kernels from lower bounds

Heat kernel estimates on effective resistance metric spaces

Laplace operators related to self-similar measures on R d

Equivalence conditions for on-diagonal upper bounds of heat kernels on self-similar spaces

Domains of Dirichlet forms and effective resistance estimates on p.c.f. fractals

Jump processes and nonlinear fractional heat equations on metric measure spaces

Potential spaces on fractals

Sierpinski垫上一类非线性椭圆方程的多值解

Multiple solutions for a class of nonlinear elliptic equations on the Sierpiński gasket

A note on Hajłasz–Sobolev spaces on fractals

Heat kernels on metric measure spaces and an application to semilinear elliptic equations

THE NAGUMO EQUATION ON SELF-SIMILAR FRACTAL SETS

Nonlinear wave equations on a class of bounded fractal sets

Nonlinear Diffusion Equations on Bounded Fractal Domains

Nonlinear Diffusion Equations on Unbounded Fractal Domains

Nonlinear partial differential equations on fractals

具有泛函解的二维非线性双曲型守恒律组

无压气体动力学方程组二维Riemann问题的泛函解

三维非线性双曲型守恒律组的非古典激波

Non-linear Elliptical Equations on the Sierpinski Gasket ´

THE RIEMANN PROBLEM FOR A TWO-DIMENSIONAL HYPERBOLIC SYSTEM OF CONSERVATION LAWS WITH NON-CLASSICAL SHOCK WAVES

具有古典弱解二维双典型守恒律组Riemann问题

THE RIEMANN PROBLEM FOR A TWO-DIMENSIONAL HYPERBOLIC SYSTEM OF CONSERVATION LAWS WITH NON-CLASSICAL WEAK SOLUTIONS:SOME ONE-J AND NON-R INITIAL DATA

具有非古典弱解的二维双曲型守恒律组的Riemann问题

A KINETIC APPROACH TO SCALAR MULTI-DIMENSIONAL CONSERVATION LAWS

EXISTENCE OF GENERALIZED SOLUTIONS TO A HYPERBOLIC MODEL OF COMBUSTION

A LIMITING VISCOSITY APPROACH TO THE RIEMANN PROBLEM FOR TRANSONIC FLOW

单个平衡律方程弱解的存在性

书籍章节

Heat Kernels on Metric Measure Spaces

Heat Kernels on Metric Spaces with Doubling Measure

研究方向