Matches in SemOpenAlex for { <https://semopenalex.org/work/W1973988574> ?p ?o ?g. }
Showing items 1 to 99 of
99
with 100 items per page.
- W1973988574 endingPage "205011" @default.
- W1973988574 startingPage "205011" @default.
- W1973988574 abstract "In this paper we initiate a systematic study of the well-posedness theory of the Einstein constraint equations on compact manifolds with boundary. This is an important problem in general relativity, and it is particularly important in numerical relativity, as it arises in models of Cauchy surfaces containing asymptotically flat ends and/or trapped surfaces. Moreover, a number of technical obstacles that appear when developing the solution theory for open, asymptotically Euclidean manifolds have analogues on compact manifolds with boundary. As a first step, here we restrict ourselves to the Lichnerowicz equation, also called the Hamiltonian constraint equation, which is the main source of nonlinearity in the constraint system. The focus is on low regularity data and on the interaction between different types of boundary conditions, which has not been carefully analysed before. In order to develop a well-posedness theory that mirrors the existing theory for the case of closed manifolds, we first generalize the Yamabe classification to nonsmooth metrics on compact manifolds with boundary. We then extend a result on conformal invariance to manifolds with boundary, and prove a uniqueness theorem. Finally, by using the method of sub- and super-solutions (order-preserving map iteration), we establish several existence results for a large class of problems covering a broad parameter regime, which includes most of the cases relevant in practice." @default.
- W1973988574 created "2016-06-24" @default.
- W1973988574 creator A5053230806 @default.
- W1973988574 creator A5080980271 @default.
- W1973988574 date "2013-10-01" @default.
- W1973988574 modified "2023-10-18" @default.
- W1973988574 title "The Lichnerowicz equation on compact manifolds with boundary" @default.
- W1973988574 cites W1498392140 @default.
- W1973988574 cites W1596214814 @default.
- W1973988574 cites W1989941861 @default.
- W1973988574 cites W1994815733 @default.
- W1973988574 cites W2029403139 @default.
- W1973988574 cites W2030549562 @default.
- W1973988574 cites W2031628165 @default.
- W1973988574 cites W2041492769 @default.
- W1973988574 cites W2053036573 @default.
- W1973988574 cites W2054012452 @default.
- W1973988574 cites W2131914197 @default.
- W1973988574 cites W2964047566 @default.
- W1973988574 cites W3102041565 @default.
- W1973988574 cites W4213021285 @default.
- W1973988574 cites W4234933822 @default.
- W1973988574 cites W4300641598 @default.
- W1973988574 doi "https://doi.org/10.1088/0264-9381/30/20/205011" @default.
- W1973988574 hasPublicationYear "2013" @default.
- W1973988574 type Work @default.
- W1973988574 sameAs 1973988574 @default.
- W1973988574 citedByCount "10" @default.
- W1973988574 countsByYear W19739885742014 @default.
- W1973988574 countsByYear W19739885742015 @default.
- W1973988574 countsByYear W19739885742017 @default.
- W1973988574 countsByYear W19739885742021 @default.
- W1973988574 countsByYear W19739885742022 @default.
- W1973988574 countsByYear W19739885742023 @default.
- W1973988574 crossrefType "journal-article" @default.
- W1973988574 hasAuthorship W1973988574A5053230806 @default.
- W1973988574 hasAuthorship W1973988574A5080980271 @default.
- W1973988574 hasBestOaLocation W19739885742 @default.
- W1973988574 hasConcept C108568745 @default.
- W1973988574 hasConcept C121332964 @default.
- W1973988574 hasConcept C129782007 @default.
- W1973988574 hasConcept C134306372 @default.
- W1973988574 hasConcept C147452769 @default.
- W1973988574 hasConcept C182310444 @default.
- W1973988574 hasConcept C202444582 @default.
- W1973988574 hasConcept C2524010 @default.
- W1973988574 hasConcept C2776036281 @default.
- W1973988574 hasConcept C2777021972 @default.
- W1973988574 hasConcept C2778267785 @default.
- W1973988574 hasConcept C33923547 @default.
- W1973988574 hasConcept C37914503 @default.
- W1973988574 hasConcept C58801389 @default.
- W1973988574 hasConcept C62354387 @default.
- W1973988574 hasConcept C62520636 @default.
- W1973988574 hasConcept C84114770 @default.
- W1973988574 hasConcept C98214594 @default.
- W1973988574 hasConceptScore W1973988574C108568745 @default.
- W1973988574 hasConceptScore W1973988574C121332964 @default.
- W1973988574 hasConceptScore W1973988574C129782007 @default.
- W1973988574 hasConceptScore W1973988574C134306372 @default.
- W1973988574 hasConceptScore W1973988574C147452769 @default.
- W1973988574 hasConceptScore W1973988574C182310444 @default.
- W1973988574 hasConceptScore W1973988574C202444582 @default.
- W1973988574 hasConceptScore W1973988574C2524010 @default.
- W1973988574 hasConceptScore W1973988574C2776036281 @default.
- W1973988574 hasConceptScore W1973988574C2777021972 @default.
- W1973988574 hasConceptScore W1973988574C2778267785 @default.
- W1973988574 hasConceptScore W1973988574C33923547 @default.
- W1973988574 hasConceptScore W1973988574C37914503 @default.
- W1973988574 hasConceptScore W1973988574C58801389 @default.
- W1973988574 hasConceptScore W1973988574C62354387 @default.
- W1973988574 hasConceptScore W1973988574C62520636 @default.
- W1973988574 hasConceptScore W1973988574C84114770 @default.
- W1973988574 hasConceptScore W1973988574C98214594 @default.
- W1973988574 hasIssue "20" @default.
- W1973988574 hasLocation W19739885741 @default.
- W1973988574 hasLocation W19739885742 @default.
- W1973988574 hasLocation W19739885743 @default.
- W1973988574 hasLocation W19739885744 @default.
- W1973988574 hasLocation W19739885745 @default.
- W1973988574 hasOpenAccess W1973988574 @default.
- W1973988574 hasPrimaryLocation W19739885741 @default.
- W1973988574 hasRelatedWork W186744944 @default.
- W1973988574 hasRelatedWork W1994655161 @default.
- W1973988574 hasRelatedWork W2042501092 @default.
- W1973988574 hasRelatedWork W2324557373 @default.
- W1973988574 hasRelatedWork W2354100149 @default.
- W1973988574 hasRelatedWork W2949335106 @default.
- W1973988574 hasRelatedWork W306294598 @default.
- W1973988574 hasRelatedWork W3160056315 @default.
- W1973988574 hasRelatedWork W4378942808 @default.
- W1973988574 hasRelatedWork W939557101 @default.
- W1973988574 hasVolume "30" @default.
- W1973988574 isParatext "false" @default.
- W1973988574 isRetracted "false" @default.
- W1973988574 magId "1973988574" @default.
- W1973988574 workType "article" @default.