KnowraFundamental solutionLinked fromLinked fromThe 9 pages that link to Fundamental solution, each with the reason it gives.All 9Broader topic 1Related 7Compared with 1Partial differential equationRelated: Fundamental solutions reveal how many linear PDE operators propagate localized inputs.Green's functionCompared with: A fundamental solution supplies the point-source response before boundary conditions select a Green's function.Heat equationBroader topic: The Gaussian fundamental solution shows exactly how a localized heat pulse spreads.Poisson's equationRelated: It gives the basic singular response underlying Poisson solutions in unbounded space.Distribution (mathematics)Related: It turns a point-source equation into a tool for constructing broader solutions.Linear differential equationRelated: It is the basic impulse response underlying Green’s functions.Potential theoryRelated: The fundamental solution of the Laplacian generates classical potentials.Distribution theoryRelated: Its defining equation often has no classical-function solution.Parabolic partial differential equationRelated: For the heat equation, it describes how a point source spreads over time.