A Mean Value Theorem for the Heat Equation
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Publication:5531289
DOI10.2307/2035052zbMath0152.10503OpenAlexW4254095357MaRDI QIDQ5531289
Publication date: 1966
Full work available at URL: https://doi.org/10.2307/2035052
Related Items (18)
Mean value properties of solutions to parabolic equations with variable coefficients ⋮ Inverse mean value properties (a survey) ⋮ Asymptotic mean value formulas for parabolic nonlinear equations ⋮ Asymptotic behaviour of fundamental solutions and potential theory of parabolic operators with variable coefficients ⋮ Regular boundary points and exit distributions for parabolic differential operators ⋮ Initial-boundary value problem for the heat equation -- a stochastic algorithm ⋮ A probabilistic proof and applications of Wiener's test for the heat operator ⋮ Local monotonicity and mean value formulas for evolving Riemannian manifolds ⋮ Measuring the level sets of anisotropic homogeneous functions ⋮ Volume mean densities for the heat equation ⋮ Heat ball formulæ for \(k\)-forms on evolving manifolds ⋮ Parabolic mean values and maximal estimates for gradients of temperatures ⋮ Local monotonicity formulas for some nonlinear diffusion equations ⋮ Mean value theorem and a maximum principle for Kolmogorov's equation ⋮ Characterization by asymptotic mean formulas of \(q\)-harmonic functions in Carnot groups ⋮ Mean value theorems for solutions of linear partial differential equations ⋮ Liouville's theorem and Laurent series expansions for solutions of the heat equation ⋮ Local monotonicity for the Yang-Mills-Higgs flow
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