Matches in SemOpenAlex for { <https://semopenalex.org/work/W3698508> ?p ?o ?g. }
- W3698508 abstract "We complete the work of Part I and present a pseudodifferential calculus for boundary value problems on a manifold D with finitely many conical singularities. Outside the singular set, D is a smooth bounded manifold, and we use Boutet de Monvel’s calculus in its standard form. Near a singularity, D is diffeomorphic to the cone X × [0,∞)/X × {0}, where X is a smooth compact manifold with boundary. We then work on the cylinder X ×R+ with operators of Mellin type on R+ taking values in Boutet de Monvel’s calculus on X . First we construct the so-called cone algebra without asymptotics. It provides a framework in which all the relevant operations can be performed, although it is too coarse a tool to achieve a Fredholm theory. To this end we then develop the cone algebra with asymptotics, a calculus for boundary value problems based on meromorphic Mellin symbols. The associated operators act between Mellin Sobolev spaces with and without asymptotics. A basic result is the construction of parametrices to elliptic operators in the algebra. The ellipticity is defined in terms of the symbols involved. It entails the Fredholm property of the associated operators and allows conclusions on regularity and asymptotics of solutions to elliptic equations. AMS Subject Classification: 35 S 15, 58 G 20, 46 E 35, 46 H 35" @default.
- W3698508 created "2016-06-24" @default.
- W3698508 creator A5008213685 @default.
- W3698508 creator A5044435802 @default.
- W3698508 date "1995-01-01" @default.
- W3698508 modified "2023-10-12" @default.
- W3698508 title "Boundary value problems in Boutet de Monvel's algebra for manifolds with conical singularities II" @default.
- W3698508 cites W1212101458 @default.
- W3698508 cites W1482020180 @default.
- W3698508 cites W1532154335 @default.
- W3698508 cites W1533055209 @default.
- W3698508 cites W1533889494 @default.
- W3698508 cites W1539548302 @default.
- W3698508 cites W1548110689 @default.
- W3698508 cites W1571918780 @default.
- W3698508 cites W1964233563 @default.
- W3698508 cites W1970227905 @default.
- W3698508 cites W1970863499 @default.
- W3698508 cites W1981641567 @default.
- W3698508 cites W1989683689 @default.
- W3698508 cites W1991211943 @default.
- W3698508 cites W1992085623 @default.
- W3698508 cites W2000077489 @default.
- W3698508 cites W2011347541 @default.
- W3698508 cites W2012497429 @default.
- W3698508 cites W2013052961 @default.
- W3698508 cites W2014700477 @default.
- W3698508 cites W2020150158 @default.
- W3698508 cites W2041400746 @default.
- W3698508 cites W2042654311 @default.
- W3698508 cites W2052629369 @default.
- W3698508 cites W2062462246 @default.
- W3698508 cites W2084929741 @default.
- W3698508 cites W2091722810 @default.
- W3698508 cites W2129361784 @default.
- W3698508 cites W2130711343 @default.
- W3698508 cites W2227674044 @default.
- W3698508 cites W2312446715 @default.
- W3698508 cites W2602965513 @default.
- W3698508 cites W2700803694 @default.
- W3698508 cites W2798644970 @default.
- W3698508 cites W2911870966 @default.
- W3698508 cites W3038830718 @default.
- W3698508 cites W342976511 @default.
- W3698508 cites W574631597 @default.
- W3698508 cites W597773890 @default.
- W3698508 cites W599673803 @default.
- W3698508 cites W60650197 @default.
- W3698508 cites W2483566916 @default.
- W3698508 cites W2724994544 @default.
- W3698508 hasPublicationYear "1995" @default.
- W3698508 type Work @default.
- W3698508 sameAs 3698508 @default.
- W3698508 citedByCount "20" @default.
- W3698508 countsByYear W36985082016 @default.
- W3698508 countsByYear W36985082017 @default.
- W3698508 countsByYear W36985082021 @default.
- W3698508 crossrefType "journal-article" @default.
- W3698508 hasAuthorship W3698508A5008213685 @default.
- W3698508 hasAuthorship W3698508A5044435802 @default.
- W3698508 hasConcept C127413603 @default.
- W3698508 hasConcept C12843 @default.
- W3698508 hasConcept C134306372 @default.
- W3698508 hasConcept C136119220 @default.
- W3698508 hasConcept C190333341 @default.
- W3698508 hasConcept C202444582 @default.
- W3698508 hasConcept C33923547 @default.
- W3698508 hasConcept C47556283 @default.
- W3698508 hasConcept C529865628 @default.
- W3698508 hasConcept C62354387 @default.
- W3698508 hasConcept C78519656 @default.
- W3698508 hasConcept C99730327 @default.
- W3698508 hasConceptScore W3698508C127413603 @default.
- W3698508 hasConceptScore W3698508C12843 @default.
- W3698508 hasConceptScore W3698508C134306372 @default.
- W3698508 hasConceptScore W3698508C136119220 @default.
- W3698508 hasConceptScore W3698508C190333341 @default.
- W3698508 hasConceptScore W3698508C202444582 @default.
- W3698508 hasConceptScore W3698508C33923547 @default.
- W3698508 hasConceptScore W3698508C47556283 @default.
- W3698508 hasConceptScore W3698508C529865628 @default.
- W3698508 hasConceptScore W3698508C62354387 @default.
- W3698508 hasConceptScore W3698508C78519656 @default.
- W3698508 hasConceptScore W3698508C99730327 @default.
- W3698508 hasLocation W36985081 @default.
- W3698508 hasOpenAccess W3698508 @default.
- W3698508 hasPrimaryLocation W36985081 @default.
- W3698508 hasRelatedWork W1482020180 @default.
- W3698508 hasRelatedWork W1528744405 @default.
- W3698508 hasRelatedWork W1532154335 @default.
- W3698508 hasRelatedWork W1539548302 @default.
- W3698508 hasRelatedWork W1680946454 @default.
- W3698508 hasRelatedWork W1968099842 @default.
- W3698508 hasRelatedWork W1970227905 @default.
- W3698508 hasRelatedWork W1976342154 @default.
- W3698508 hasRelatedWork W1991211943 @default.
- W3698508 hasRelatedWork W2000077489 @default.
- W3698508 hasRelatedWork W2040607427 @default.
- W3698508 hasRelatedWork W2042654311 @default.
- W3698508 hasRelatedWork W2062462246 @default.