scientific article
zbMath0551.35001MaRDI QIDQ3344518
Alan B. Tayler, John R. Ockendon
Publication date: 1982
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
maximum principleCauchy problemweak solutionsdiffusion equationGreen's functionsmethod of characteristicsPoisson equationsimilarity solutionspartial differential equationsFourier integralsquasi-linear equationswell posed problemapplied mathematicspropagation of discontinuitiestransform methodsfirst order equationharmonic Dirichlet problemCauchy- Kowaleski theoremd'Alembert's solutionRiemann integration technique
Heat equation (35K05) Integral representations of solutions to PDEs (35C15) Nonlinear first-order PDEs (35F20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Linear first-order PDEs (35F05) Geometric theory, characteristics, transformations in context of PDEs (35A30) First-order hyperbolic systems (35L40) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to partial differential equations (35-01)
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