Matches in SemOpenAlex for { <https://semopenalex.org/work/W160293> ?p ?o ?g. }
Showing items 1 to 62 of
62
with 100 items per page.
- W160293 endingPage "357" @default.
- W160293 startingPage "336" @default.
- W160293 abstract "This chapter discusses the second-order elliptic differential equations. For elliptic partial equations, the Cauchy or mixed problems are not the natural ones to consider. While on one hand, the initial conditions have to be analytic to assure the existence of solutions, on the other hand, even such strong conditions do not assure the continuous dependence of the solution on the initial data. It turns out that the correctly posed problems for elliptic equations are the boundary value problems. The simplest elliptic equation of the second order is the Laplace equation whose solutions are called harmonic functions. The chapter presents the fundamental boundary value problems for elliptic operators and describes the general properties of elliptic operators. It also illustrates the application of the Green's function in the solution of Dirichlet's problem for a half-plane. The physical interpretation of the Green's function is the potential at M because of a positive unit charge placed at Mi. The surface S is assumed to be a grounded conductor." @default.
- W160293 created "2016-06-24" @default.
- W160293 creator A5029472353 @default.
- W160293 date "1969-01-01" @default.
- W160293 modified "2023-09-24" @default.
- W160293 title "Second-Order Elliptic Differential Equations" @default.
- W160293 doi "https://doi.org/10.1016/b978-1-4832-3098-6.50021-7" @default.
- W160293 hasPublicationYear "1969" @default.
- W160293 type Work @default.
- W160293 sameAs 160293 @default.
- W160293 citedByCount "0" @default.
- W160293 crossrefType "book-chapter" @default.
- W160293 hasAuthorship W160293A5029472353 @default.
- W160293 hasConcept C123958593 @default.
- W160293 hasConcept C134306372 @default.
- W160293 hasConcept C154416045 @default.
- W160293 hasConcept C179603306 @default.
- W160293 hasConcept C182310444 @default.
- W160293 hasConcept C197875053 @default.
- W160293 hasConcept C201801670 @default.
- W160293 hasConcept C2779560616 @default.
- W160293 hasConcept C33923547 @default.
- W160293 hasConcept C54067925 @default.
- W160293 hasConcept C70610323 @default.
- W160293 hasConcept C70615421 @default.
- W160293 hasConcept C73749972 @default.
- W160293 hasConcept C93779851 @default.
- W160293 hasConcept C94242865 @default.
- W160293 hasConceptScore W160293C123958593 @default.
- W160293 hasConceptScore W160293C134306372 @default.
- W160293 hasConceptScore W160293C154416045 @default.
- W160293 hasConceptScore W160293C179603306 @default.
- W160293 hasConceptScore W160293C182310444 @default.
- W160293 hasConceptScore W160293C197875053 @default.
- W160293 hasConceptScore W160293C201801670 @default.
- W160293 hasConceptScore W160293C2779560616 @default.
- W160293 hasConceptScore W160293C33923547 @default.
- W160293 hasConceptScore W160293C54067925 @default.
- W160293 hasConceptScore W160293C70610323 @default.
- W160293 hasConceptScore W160293C70615421 @default.
- W160293 hasConceptScore W160293C73749972 @default.
- W160293 hasConceptScore W160293C93779851 @default.
- W160293 hasConceptScore W160293C94242865 @default.
- W160293 hasLocation W1602931 @default.
- W160293 hasOpenAccess W160293 @default.
- W160293 hasPrimaryLocation W1602931 @default.
- W160293 hasRelatedWork W160293 @default.
- W160293 hasRelatedWork W1998025755 @default.
- W160293 hasRelatedWork W1999502879 @default.
- W160293 hasRelatedWork W2017172644 @default.
- W160293 hasRelatedWork W2051984630 @default.
- W160293 hasRelatedWork W2053813370 @default.
- W160293 hasRelatedWork W2187243483 @default.
- W160293 hasRelatedWork W3048041696 @default.
- W160293 hasRelatedWork W4297782757 @default.
- W160293 hasRelatedWork W624341636 @default.
- W160293 isParatext "false" @default.
- W160293 isRetracted "false" @default.
- W160293 magId "160293" @default.
- W160293 workType "book-chapter" @default.