FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W4313489719> ?p ?o ?g. }

• W4313489719 endingPage "38" @default.
• W4313489719 startingPage "1" @default.
• W4313489719 abstract "<abstract><p>The goal of this paper is to discuss some of the results in the author's previous papers and expand upon the work there by proving two new results: a global weak existence result as well as a first bubbling analysis for the half-harmonic gradient flow in finite time. In addition, an alternative local existence proof to the one provided in ^{[<xref ref-type=bibr rid=b47>47</xref>]} is presented based on a fixed-point argument. This preliminary bubbling analysis leads to two potential outcomes for the possibility of finite-time bubbling until a conjecture by Sire, Wei and Zheng, see ^{[<xref ref-type=bibr rid=b40>40</xref>]}, is settled: Either there always exists a global smooth solution to the half-harmonic gradient flow without concentration of energy in finite-time, which still allows for the formation of half-harmonic bubbles as $ t to +infty $, or finite-time bubbling may occur in a similar way as for the harmonic gradient flow due to energy concentration in finitely many points. In the first part of the introduction to this paper, we provide a survey of the theory of harmonic and fractional harmonic maps and the associated gradient flows. For clarity's sake, we restrict our attention to the case of spherical target manifolds $ S^{n-1} $, but our discussion extends to the general case after taking care of technicalities associated with arbitrary closed target manifolds $ N $ (cf. ^{[<xref ref-type=bibr rid=b48>48</xref>]}).</p></abstract>" @default.
• W4313489719 created "2023-01-06" @default.
• W4313489719 creator A5020864581 @default.
• W4313489719 date "2023-01-01" @default.
• W4313489719 modified "2023-10-14" @default.
• W4313489719 title "Half-harmonic gradient flow: aspects of a non-local geometric PDE" @default.
• W4313489719 cites W1524433941 @default.
• W4313489719 cites W1569271856 @default.
• W4313489719 cites W1963867115 @default.
• W4313489719 cites W1969228569 @default.
• W4313489719 cites W1971640679 @default.
• W4313489719 cites W1974228548 @default.
• W4313489719 cites W2011095781 @default.
• W4313489719 cites W2029831933 @default.
• W4313489719 cites W2050994955 @default.
• W4313489719 cites W2051371320 @default.
• W4313489719 cites W2059505101 @default.
• W4313489719 cites W2061771547 @default.
• W4313489719 cites W2064179011 @default.
• W4313489719 cites W2081559794 @default.
• W4313489719 cites W2132834302 @default.
• W4313489719 cites W2163151633 @default.
• W4313489719 cites W2167675215 @default.
• W4313489719 cites W2206721869 @default.
• W4313489719 cites W2317675533 @default.
• W4313489719 cites W2325505781 @default.
• W4313489719 cites W2325869167 @default.
• W4313489719 cites W2600774353 @default.
• W4313489719 cites W2750709357 @default.
• W4313489719 cites W2796398001 @default.
• W4313489719 cites W2962801573 @default.
• W4313489719 cites W2963701315 @default.
• W4313489719 cites W2964137714 @default.
• W4313489719 cites W2964809261 @default.
• W4313489719 cites W3102016083 @default.
• W4313489719 cites W3103229763 @default.
• W4313489719 cites W3106452197 @default.
• W4313489719 cites W3201739674 @default.
• W4313489719 cites W3215320556 @default.
• W4313489719 cites W84423543 @default.
• W4313489719 doi "https://doi.org/10.3934/mine.2023058" @default.
• W4313489719 hasPublicationYear "2023" @default.
• W4313489719 type Work @default.
• W4313489719 citedByCount "1" @default.
• W4313489719 countsByYear W43134897192023 @default.
• W4313489719 crossrefType "journal-article" @default.
• W4313489719 hasAuthorship W4313489719A5020864581 @default.
• W4313489719 hasBestOaLocation W43134897191 @default.
• W4313489719 hasConcept C105795698 @default.
• W4313489719 hasConcept C121332964 @default.
• W4313489719 hasConcept C127934551 @default.
• W4313489719 hasConcept C134306372 @default.
• W4313489719 hasConcept C167879884 @default.
• W4313489719 hasConcept C186370098 @default.
• W4313489719 hasConcept C18903297 @default.
• W4313489719 hasConcept C202444582 @default.
• W4313489719 hasConcept C2524010 @default.
• W4313489719 hasConcept C2777299769 @default.
• W4313489719 hasConcept C2780990831 @default.
• W4313489719 hasConcept C33923547 @default.
• W4313489719 hasConcept C38349280 @default.
• W4313489719 hasConcept C62520636 @default.
• W4313489719 hasConcept C86803240 @default.
• W4313489719 hasConceptScore W4313489719C105795698 @default.
• W4313489719 hasConceptScore W4313489719C121332964 @default.
• W4313489719 hasConceptScore W4313489719C127934551 @default.
• W4313489719 hasConceptScore W4313489719C134306372 @default.
• W4313489719 hasConceptScore W4313489719C167879884 @default.
• W4313489719 hasConceptScore W4313489719C186370098 @default.
• W4313489719 hasConceptScore W4313489719C18903297 @default.
• W4313489719 hasConceptScore W4313489719C202444582 @default.
• W4313489719 hasConceptScore W4313489719C2524010 @default.
• W4313489719 hasConceptScore W4313489719C2777299769 @default.
• W4313489719 hasConceptScore W4313489719C2780990831 @default.
• W4313489719 hasConceptScore W4313489719C33923547 @default.
• W4313489719 hasConceptScore W4313489719C38349280 @default.
• W4313489719 hasConceptScore W4313489719C62520636 @default.
• W4313489719 hasConceptScore W4313489719C86803240 @default.
• W4313489719 hasIssue "3" @default.
• W4313489719 hasLocation W43134897191 @default.
• W4313489719 hasLocation W43134897192 @default.
• W4313489719 hasOpenAccess W4313489719 @default.
• W4313489719 hasPrimaryLocation W43134897191 @default.
• W4313489719 hasRelatedWork W1529715114 @default.
• W4313489719 hasRelatedWork W1996842796 @default.
• W4313489719 hasRelatedWork W2011488868 @default.
• W4313489719 hasRelatedWork W2022017350 @default.
• W4313489719 hasRelatedWork W2120826334 @default.
• W4313489719 hasRelatedWork W2901766321 @default.
• W4313489719 hasRelatedWork W2951387277 @default.
• W4313489719 hasRelatedWork W3038654277 @default.
• W4313489719 hasRelatedWork W3105807034 @default.
• W4313489719 hasRelatedWork W3199469332 @default.
• W4313489719 hasVolume "5" @default.
• W4313489719 isParatext "false" @default.
• W4313489719 isRetracted "false" @default.
• W4313489719 workType "article" @default.