Matches in SemOpenAlex for { <https://semopenalex.org/work/W2981227476> ?p ?o ?g. }
Showing items 1 to 90 of
90
with 100 items per page.
- W2981227476 endingPage "3355" @default.
- W2981227476 startingPage "3327" @default.
- W2981227476 abstract "We consider the Cauchy problem for the energy critical heat equation begin{document}$ begin{equation} left{ begin{aligned} u_t & = Delta u + u^3 {quadhbox{in } } mathbb R^4 times (0, T), u(cdot, 0) & = u_0 {quadhbox{in } } mathbb R^4. end{aligned}right. ~~~~~~~~~~~~~~~~~~~~~~~(1)end{equation} $end{document} We find that for given points $ q_1, q_2, ldots, q_k $ and any sufficiently small $ T>0 $ there is an initial condition $ u_0 $ such that the solution $ u(x, t) $ of (1) blows up at exactly those $ k $ points with a type Ⅱ rate, namely larger than $ (T-t)^{-frac 12} $. In fact $ |u(cdot, t)|_infty sim (T-t)^{-1}log^2(T-t) $. The blow-up profile around each point is of bubbling type, in the form of sharply scaled Aubin-Talenti bubbles." @default.
- W2981227476 created "2019-10-25" @default.
- W2981227476 creator A5004342994 @default.
- W2981227476 creator A5057351789 @default.
- W2981227476 creator A5064625916 @default.
- W2981227476 creator A5079363193 @default.
- W2981227476 date "2020-01-01" @default.
- W2981227476 modified "2023-10-16" @default.
- W2981227476 title "Type Ⅱ finite time blow-up for the energy critical heat equation in <inline-formula><tex-math id=M1>begin{document}$ mathbb{R}^4 $end{document}</tex-math></inline-formula>" @default.
- W2981227476 cites W1671024816 @default.
- W2981227476 cites W1722286425 @default.
- W2981227476 cites W1913455435 @default.
- W2981227476 cites W1992067604 @default.
- W2981227476 cites W2046973776 @default.
- W2981227476 cites W2049684712 @default.
- W2981227476 cites W2062697573 @default.
- W2981227476 cites W2067431579 @default.
- W2981227476 cites W2074129374 @default.
- W2981227476 cites W2094820190 @default.
- W2981227476 cites W2165347325 @default.
- W2981227476 cites W2172179184 @default.
- W2981227476 cites W2346473017 @default.
- W2981227476 cites W2766854976 @default.
- W2981227476 cites W2952508458 @default.
- W2981227476 cites W2962755157 @default.
- W2981227476 cites W2962975452 @default.
- W2981227476 cites W2963085897 @default.
- W2981227476 cites W2963266362 @default.
- W2981227476 cites W2963961108 @default.
- W2981227476 cites W2964074788 @default.
- W2981227476 cites W2964112395 @default.
- W2981227476 cites W3100261296 @default.
- W2981227476 cites W3106360164 @default.
- W2981227476 cites W573861537 @default.
- W2981227476 doi "https://doi.org/10.3934/dcds.2020052" @default.
- W2981227476 hasPublicationYear "2020" @default.
- W2981227476 type Work @default.
- W2981227476 sameAs 2981227476 @default.
- W2981227476 citedByCount "9" @default.
- W2981227476 countsByYear W29812274762020 @default.
- W2981227476 countsByYear W29812274762021 @default.
- W2981227476 countsByYear W29812274762022 @default.
- W2981227476 countsByYear W29812274762023 @default.
- W2981227476 crossrefType "journal-article" @default.
- W2981227476 hasAuthorship W2981227476A5004342994 @default.
- W2981227476 hasAuthorship W2981227476A5057351789 @default.
- W2981227476 hasAuthorship W2981227476A5064625916 @default.
- W2981227476 hasAuthorship W2981227476A5079363193 @default.
- W2981227476 hasBestOaLocation W29812274761 @default.
- W2981227476 hasConcept C114614502 @default.
- W2981227476 hasConcept C121332964 @default.
- W2981227476 hasConcept C186370098 @default.
- W2981227476 hasConcept C18903297 @default.
- W2981227476 hasConcept C202787564 @default.
- W2981227476 hasConcept C2777299769 @default.
- W2981227476 hasConcept C33923547 @default.
- W2981227476 hasConcept C37914503 @default.
- W2981227476 hasConcept C62520636 @default.
- W2981227476 hasConcept C86803240 @default.
- W2981227476 hasConceptScore W2981227476C114614502 @default.
- W2981227476 hasConceptScore W2981227476C121332964 @default.
- W2981227476 hasConceptScore W2981227476C186370098 @default.
- W2981227476 hasConceptScore W2981227476C18903297 @default.
- W2981227476 hasConceptScore W2981227476C202787564 @default.
- W2981227476 hasConceptScore W2981227476C2777299769 @default.
- W2981227476 hasConceptScore W2981227476C33923547 @default.
- W2981227476 hasConceptScore W2981227476C37914503 @default.
- W2981227476 hasConceptScore W2981227476C62520636 @default.
- W2981227476 hasConceptScore W2981227476C86803240 @default.
- W2981227476 hasIssue "6" @default.
- W2981227476 hasLocation W29812274761 @default.
- W2981227476 hasOpenAccess W2981227476 @default.
- W2981227476 hasPrimaryLocation W29812274761 @default.
- W2981227476 hasRelatedWork W1499084548 @default.
- W2981227476 hasRelatedWork W1988323070 @default.
- W2981227476 hasRelatedWork W2026168617 @default.
- W2981227476 hasRelatedWork W2041199499 @default.
- W2981227476 hasRelatedWork W2043930649 @default.
- W2981227476 hasRelatedWork W2084143801 @default.
- W2981227476 hasRelatedWork W2128601187 @default.
- W2981227476 hasRelatedWork W2948324473 @default.
- W2981227476 hasRelatedWork W2999954399 @default.
- W2981227476 hasRelatedWork W3102427995 @default.
- W2981227476 hasVolume "40" @default.
- W2981227476 isParatext "false" @default.
- W2981227476 isRetracted "false" @default.
- W2981227476 magId "2981227476" @default.
- W2981227476 workType "article" @default.