Matches in SemOpenAlex for { <https://semopenalex.org/work/W2054024962> ?p ?o ?g. }
- W2054024962 endingPage "1015" @default.
- W2054024962 startingPage "993" @default.
- W2054024962 abstract "In this paper, we study the theory of the global well-posedness and scattering for the energy-critical wave equation with a cubic convolution nonlinearity $u_{tt}-Delta u+(|x|^{-4}ast|u|^2)u=0$ in spatial dimension $d geq 5$. The main difficulties are the absence of the classical finite speed of propagation (i.e. the monotonic local energy estimate on the light cone), which is a fundamental property to show the global well-posedness and then to obtain scattering for the wave equations with the local nonlinearity $u_{tt}-Delta u+|u|^frac4{d-2}u=0$. To compensate it, we resort to the extended causality and utilize the strategy derived from concentration compactness ideas. Then, the proof of the global well-posedness and scattering is reduced to show the nonexistence of the three enemies: finite time blowup; soliton-like solutions and low-to-high cascade. We will utilize the Morawetz estimate, the extended causality and the potential energy concentration to preclude the above three enemies." @default.
- W2054024962 created "2016-06-24" @default.
- W2054024962 creator A5009137511 @default.
- W2054024962 creator A5052377229 @default.
- W2054024962 creator A5057457427 @default.
- W2054024962 date "2014-01-01" @default.
- W2054024962 modified "2023-10-02" @default.
- W2054024962 title "The Defocusing Energy-critical wave Equation with a Cubic Convolution" @default.
- W2054024962 cites W1736395089 @default.
- W2054024962 cites W1783353289 @default.
- W2054024962 cites W1963481088 @default.
- W2054024962 cites W2002465072 @default.
- W2054024962 cites W2015890623 @default.
- W2054024962 cites W2026904340 @default.
- W2054024962 cites W2028212348 @default.
- W2054024962 cites W2031252201 @default.
- W2054024962 cites W2034909007 @default.
- W2054024962 cites W2041244661 @default.
- W2054024962 cites W2046973776 @default.
- W2054024962 cites W2050628952 @default.
- W2054024962 cites W2054889887 @default.
- W2054024962 cites W2060831697 @default.
- W2054024962 cites W2063927174 @default.
- W2054024962 cites W2065988506 @default.
- W2054024962 cites W2070610722 @default.
- W2054024962 cites W2073130903 @default.
- W2054024962 cites W2077005785 @default.
- W2054024962 cites W2082206024 @default.
- W2054024962 cites W2093702041 @default.
- W2054024962 cites W2102327241 @default.
- W2054024962 cites W2102648578 @default.
- W2054024962 cites W2114665797 @default.
- W2054024962 cites W2116721163 @default.
- W2054024962 cites W2167144056 @default.
- W2054024962 cites W2275344307 @default.
- W2054024962 cites W2507395880 @default.
- W2054024962 cites W2588413583 @default.
- W2054024962 cites W2951275812 @default.
- W2054024962 cites W2953365419 @default.
- W2054024962 cites W2963469178 @default.
- W2054024962 cites W2963589683 @default.
- W2054024962 cites W2963853938 @default.
- W2054024962 cites W3105823658 @default.
- W2054024962 cites W3121644528 @default.
- W2054024962 cites W42629408 @default.
- W2054024962 doi "https://doi.org/10.1512/iumj.2014.63.5271" @default.
- W2054024962 hasPublicationYear "2014" @default.
- W2054024962 type Work @default.
- W2054024962 sameAs 2054024962 @default.
- W2054024962 citedByCount "6" @default.
- W2054024962 countsByYear W20540249622015 @default.
- W2054024962 countsByYear W20540249622017 @default.
- W2054024962 countsByYear W20540249622020 @default.
- W2054024962 countsByYear W20540249622022 @default.
- W2054024962 countsByYear W20540249622023 @default.
- W2054024962 crossrefType "journal-article" @default.
- W2054024962 hasAuthorship W2054024962A5009137511 @default.
- W2054024962 hasAuthorship W2054024962A5052377229 @default.
- W2054024962 hasAuthorship W2054024962A5057457427 @default.
- W2054024962 hasBestOaLocation W20540249622 @default.
- W2054024962 hasConcept C105795698 @default.
- W2054024962 hasConcept C119857082 @default.
- W2054024962 hasConcept C121332964 @default.
- W2054024962 hasConcept C134306372 @default.
- W2054024962 hasConcept C158622935 @default.
- W2054024962 hasConcept C186370098 @default.
- W2054024962 hasConcept C18648836 @default.
- W2054024962 hasConcept C191486275 @default.
- W2054024962 hasConcept C202444582 @default.
- W2054024962 hasConcept C33676613 @default.
- W2054024962 hasConcept C33923547 @default.
- W2054024962 hasConcept C41008148 @default.
- W2054024962 hasConcept C45347329 @default.
- W2054024962 hasConcept C50644808 @default.
- W2054024962 hasConcept C59696629 @default.
- W2054024962 hasConcept C62520636 @default.
- W2054024962 hasConcept C64357122 @default.
- W2054024962 hasConcept C72169020 @default.
- W2054024962 hasConceptScore W2054024962C105795698 @default.
- W2054024962 hasConceptScore W2054024962C119857082 @default.
- W2054024962 hasConceptScore W2054024962C121332964 @default.
- W2054024962 hasConceptScore W2054024962C134306372 @default.
- W2054024962 hasConceptScore W2054024962C158622935 @default.
- W2054024962 hasConceptScore W2054024962C186370098 @default.
- W2054024962 hasConceptScore W2054024962C18648836 @default.
- W2054024962 hasConceptScore W2054024962C191486275 @default.
- W2054024962 hasConceptScore W2054024962C202444582 @default.
- W2054024962 hasConceptScore W2054024962C33676613 @default.
- W2054024962 hasConceptScore W2054024962C33923547 @default.
- W2054024962 hasConceptScore W2054024962C41008148 @default.
- W2054024962 hasConceptScore W2054024962C45347329 @default.
- W2054024962 hasConceptScore W2054024962C50644808 @default.
- W2054024962 hasConceptScore W2054024962C59696629 @default.
- W2054024962 hasConceptScore W2054024962C62520636 @default.
- W2054024962 hasConceptScore W2054024962C64357122 @default.
- W2054024962 hasConceptScore W2054024962C72169020 @default.
- W2054024962 hasIssue "4" @default.
- W2054024962 hasLocation W20540249621 @default.