Half Space and Quarter Space Dirichlet Problems for the Partial Differential Equation

DOI10.1080/00036817208839020zbMath0262.35009OpenAlexW2055215183WikidataQ58291162 ScholiaQ58291162MaRDI QIDQ5677872

M. T. Boudjelkha, Joaquin B. Diaz

Publication date: 1972

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036817208839020

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Solutions to PDEs in closed form (35C05)

Related Items (6)

Addendum. Laplacian image contrast in mirror electron microscopy ⋮ Panharmonic functions: mean value properties and related topics ⋮ Laplacian image contrast in mirror electron microscopy ⋮ A Ritz's method based solution for the contact problem of a deformable rectangular plate on an elastic quarter-space ⋮ Laplace transformation of vector-valued distributions and applications to Cauchy-Dirichlet problems ⋮ A relation between the solutions of the half-space Dirichlet problems for Helmholtz's equation in R\(^n\) and Laplace's equation in R\(^{n+1}\)

Cites Work

• Reflection principles for linear elliptic second order partial differential equations with constant coefficients
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