Heat kernel
In the mathematical study of heat conduction and diffusion, a heat kernel is the fundamental solution to the heat equation on a specified domain with appropriate boundary conditions. It is also one of the main tools in the study of the spectrum of the Laplace operator, and is thus of some auxiliary importance throughout mathematical physics. The heat kernel represents the evolution of temperature in a region whose boundary is held fixed at a particular temperature (typically zero), such that an initial unit of heat energy is placed at a point at time t = 0. This solves the heat equation
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Heat kernel
In the mathematical study of heat conduction and diffusion, a heat kernel is the fundamental solution to the heat equation on a specified domain with appropriate boundary conditions. It is also one of the main tools in the study of the spectrum of the Laplace operator, and is thus of some auxiliary importance throughout mathematical physics. The heat kernel represents the evolution of temperature in a region whose boundary is held fixed at a particular temperature (typically zero), such that an initial unit of heat energy is placed at a point at time t = 0. This solves the heat equation
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En mathématiques, le noyau de ...... ur en un point en temps t = 0.
@fr
In the mathematical study of h ...... lower bounds of Gaussian type.
@en
数学の特に熱伝導や拡散の研究に現れる熱核(ねつかく、英: h ...... 写像定理によって、次のような T の表現を得ることが出来る。
@ja
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En mathématiques, le noyau de ...... ur en un point en temps t = 0.
@fr
In the mathematical study of h ...... This solves the heat equation
@en
数学の特に熱伝導や拡散の研究に現れる熱核(ねつかく、英: h ...... を満たすものとなる。このとき、熱核は次のように表現される:
@ja
label
Heat kernel
@en
Noyau de la chaleur
@fr
熱核
@ja