The Heat Equation in the Interior of an Equilateral Triangle

DOI10.1111/j.1467-9590.2009.00471.xzbMath1189.35045OpenAlexW1991885520MaRDI QIDQ3553250

Konstantinos Kalimeris, Athanassios S. Fokas

Publication date: 22 April 2010

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1467-9590.2009.00471.x

zbMATH Keywords

integral transformsDirichlet boundary conditions

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Integral representations of solutions to PDEs (35C15)

Related Items (10)

Generalised Dirichlet to Neumann maps for linear dispersive equations on half-line ⋮ Newtonian flow in a triangular duct with slip at the wall ⋮ Boundary behavior for the heat equation on the half‐line ⋮ The unified transform for the heat equation: II. Non-separable boundary conditions in two dimensions ⋮ The linear Lugiato-Lefever equation with forcing and nonzero periodic or nonperiodic boundary conditions ⋮ Boundary behavior of the solution to the linear Korteweg‐De Vries equation on the half line ⋮ The Unified Transform and the Water Wave Problem ⋮ Elliptic PDEs with constant coefficients on convex polyhedra via the unified method ⋮ Gambling for resurrection and the heat equation on a triangle ⋮ Eigenvalues for the Laplace operator in the interior of an equilateral triangle

Cites Work

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• A steepest descent method for oscillatory Riemann-Hilbert problems
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• THE mKdV EQUATION ON THE HALF-LINE
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• The nonlinear Schrödinger equation on the half-line
• The spectral representation of two-point boundary-value problems for third-order linear evolution partial differential equations
• A transform method for linear evolution PDEs on a finite interval

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