Partial Differential Equations

DOI10.1142/8498zbMath1270.35001OpenAlexW4247024147MaRDI QIDQ5894792

Harumi Hattori

Publication date: 12 December 2012

Full work available at URL: https://doi.org/10.1142/8498

zbMATH Keywords

Fourier transformLaplace transformGreen's functionmethod of characteristicsFourier seriesseparation of variablesDuhamel's principleBessel's equationLegendre equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Wave equation (35L05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Linear first-order PDEs (35F05) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Initial value problems for nonlinear first-order PDEs (35F25) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to partial differential equations (35-01) Green's functions for elliptic equations (35J08) Representations of solutions to partial differential equations (35Cxx)

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