Heat Kernel and Analysis on Manifolds
Heat Kernel and Analysis on Manifolds
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DOI：
10.1090/amsip/047
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发表时间：
2012-11
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影响因子：
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通讯作者：
A. Grigor’yan
中科院分区：
文献类型：
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作者：
A. Grigor’yan
拉普拉斯算子和热方程在$\mathbb {R}^n$函数空间在$\mathbb{R}^n$拉普拉斯算子在黎曼流形上拉普拉斯算子和热方程在$L^{2}（M）$弱极大值原理及相关主题正则性理论在$\mathbb{R}^n$流形上的热核正解作为基本解的热核谱性质距离函数和完备性高斯估计积分形式的绿色函数和绿色算子超压缩估计和特征值逐点高斯估计I逐点高斯估计II参考资料参考书目
Laplace operator and the heat equation in $\mathbb{R}^n$ Function spaces in $\mathbb{R}^n$ Laplace operator on a Riemannian manifold Laplace operator and heat equation in $L^{2}(M)$ Weak maximum principle and related topics Regularity theory in $\mathbb{R}^n$ The heat kernel on a manifold Positive solutions Heat kernel as a fundamental solution Spectral properties Distance function and completeness Gaussian estimates in the integrated form Green function and Green operator Ultracontractive estimates and eigenvalues Pointwise Gaussian estimates I Pointwise Gaussian estimates II Reference material Bibliography Some notation Index