Series expansions of solutions of the heat equation in \(n\) dimensions

DOI10.1007/BF02412092zbMath0103.06501MaRDI QIDQ774746

D. V. Widder

Publication date: 1961

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

partial differential equations

Related Items (14)

Quantitative stochastic homogenization and regularity theory of parabolic equations ⋮ Heat polynomial analogues for equations with higher order time derivatives ⋮ On elliptic and hyperbolic modular functions and the corresponding Gudermann Peeta functions ⋮ Weighted estimate of the asymptotic profiles of the Navier-Stokes flow in \(\mathbb R^n\) ⋮ The behavior of the heat operator on weighted Sobolev spaces ⋮ Many names of the Trefftz method ⋮ Some analogies from classical analysis in the theory of heat conduction ⋮ The scope of the function theoretic approach for equations permitting a separation of variables ⋮ Remarks on polynomial expansions of solutions of the heat equation in two space variables ⋮ Expansions in terms of Laguerre heat polynomials and of their temperature transforms ⋮ Widder temperature representations ⋮ Solution of a Nonlinear Partial Differential Equation with Initial Conditions ⋮ Two-phase inverse Stefan problems solved by heat polynomials method ⋮ The polynomial Trefftz method for solving backward and inverse source wave problems

Cites Work

• Expansions in Terms of Heat Polynomials and Associated Functions
• A Miniature Theory in Illustration of the Convolution Transform
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