A new Green's function method for solving linear PDE's in two variables

DOI10.1006/jmaa.1997.5369zbMath0881.65092OpenAlexW2077550335MaRDI QIDQ1359678

Paul C. Bressloff

Publication date: 13 January 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5369

zbMATH Keywords

Green's functiondiffusion equationSchrödinger equationKorteweg-de Vries equationspectral methodLax pairs

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Heat equation (35K05) Integral representations of solutions to PDEs (35C15) NLS equations (nonlinear Schrödinger equations) (35Q55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (1)

The Poisson and the Biharmonic Equations in the Interior of a Convex Polygon

Cites Work

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• Integrability of linear and nonlinear evolution equations and the associated nonlinear Fourier transforms
• A `sum-over-paths' approach to diffusion on trees
• Integrals of nonlinear equations of evolution and solitary waves
• A Uniform Asymptotic Turning Point Theory for Second Order Linear Ordinary Differential Equations

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