Matches in SemOpenAlex for { <https://semopenalex.org/work/W1948904664> ?p ?o ?g. }
Showing items 1 to 93 of
93
with 100 items per page.
- W1948904664 abstract "We consider the Cauchy problem for the biharmonic (i.,e.~fourth-order) NLS with focusing nonlinearity given by $i partial_t u = Delta^2 u - mu Delta u -|u|^{2 sigma} u$ for $(t,x) in [0,T) times mathbb{R}^d$, where $0 4/d$, we prove a general result on finite-time blowup for radial data in $H^2(mathbb{R}^d)$ in any dimension $d geq 2$. Moreover, we derive a universal upper bound for the blowup rate for suitable $4/d < sigma < 4/(d-4)$. In the mass-critical case $sigma=4/d$, we prove a general blowup result in finite or infinite time for radial data in $H^2(mathbb{R}^d)$. As a key ingredient, we utilize the time evolution of a nonnegative quantity, which we call the (localized) Riesz bivariance for biharmonic NLS. This construction provides us with a suitable substitute for the variance used for classical NLS problems. In addition, we prove a radial symmetry result for ground states for the biharmonic NLS, which may be of some value for the related elliptic problem." @default.
- W1948904664 created "2016-06-24" @default.
- W1948904664 creator A5022399477 @default.
- W1948904664 creator A5062756910 @default.
- W1948904664 date "2015-03-05" @default.
- W1948904664 modified "2023-09-27" @default.
- W1948904664 title "Blowup for Biharmonic NLS" @default.
- W1948904664 cites W1977225278 @default.
- W1948904664 cites W1992776019 @default.
- W1948904664 cites W2005053510 @default.
- W1948904664 cites W2009699289 @default.
- W1948904664 cites W2011667189 @default.
- W1948904664 cites W2027736906 @default.
- W1948904664 cites W2033702927 @default.
- W1948904664 cites W2051195713 @default.
- W1948904664 cites W2077663392 @default.
- W1948904664 cites W2082676557 @default.
- W1948904664 cites W2118818801 @default.
- W1948904664 cites W2343865007 @default.
- W1948904664 cites W3021947329 @default.
- W1948904664 cites W3104896876 @default.
- W1948904664 cites W3140296781 @default.
- W1948904664 hasPublicationYear "2015" @default.
- W1948904664 type Work @default.
- W1948904664 sameAs 1948904664 @default.
- W1948904664 citedByCount "5" @default.
- W1948904664 countsByYear W19489046642015 @default.
- W1948904664 countsByYear W19489046642017 @default.
- W1948904664 countsByYear W19489046642023 @default.
- W1948904664 crossrefType "posted-content" @default.
- W1948904664 hasAuthorship W1948904664A5022399477 @default.
- W1948904664 hasAuthorship W1948904664A5062756910 @default.
- W1948904664 hasConcept C10138342 @default.
- W1948904664 hasConcept C114614502 @default.
- W1948904664 hasConcept C121332964 @default.
- W1948904664 hasConcept C134306372 @default.
- W1948904664 hasConcept C145784156 @default.
- W1948904664 hasConcept C162324750 @default.
- W1948904664 hasConcept C182306322 @default.
- W1948904664 hasConcept C182310444 @default.
- W1948904664 hasConcept C202444582 @default.
- W1948904664 hasConcept C2524010 @default.
- W1948904664 hasConcept C2778049214 @default.
- W1948904664 hasConcept C2779886137 @default.
- W1948904664 hasConcept C33676613 @default.
- W1948904664 hasConcept C33923547 @default.
- W1948904664 hasConcept C37914503 @default.
- W1948904664 hasConcept C49344536 @default.
- W1948904664 hasConcept C62520636 @default.
- W1948904664 hasConceptScore W1948904664C10138342 @default.
- W1948904664 hasConceptScore W1948904664C114614502 @default.
- W1948904664 hasConceptScore W1948904664C121332964 @default.
- W1948904664 hasConceptScore W1948904664C134306372 @default.
- W1948904664 hasConceptScore W1948904664C145784156 @default.
- W1948904664 hasConceptScore W1948904664C162324750 @default.
- W1948904664 hasConceptScore W1948904664C182306322 @default.
- W1948904664 hasConceptScore W1948904664C182310444 @default.
- W1948904664 hasConceptScore W1948904664C202444582 @default.
- W1948904664 hasConceptScore W1948904664C2524010 @default.
- W1948904664 hasConceptScore W1948904664C2778049214 @default.
- W1948904664 hasConceptScore W1948904664C2779886137 @default.
- W1948904664 hasConceptScore W1948904664C33676613 @default.
- W1948904664 hasConceptScore W1948904664C33923547 @default.
- W1948904664 hasConceptScore W1948904664C37914503 @default.
- W1948904664 hasConceptScore W1948904664C49344536 @default.
- W1948904664 hasConceptScore W1948904664C62520636 @default.
- W1948904664 hasLocation W19489046641 @default.
- W1948904664 hasOpenAccess W1948904664 @default.
- W1948904664 hasPrimaryLocation W19489046641 @default.
- W1948904664 hasRelatedWork W192171901 @default.
- W1948904664 hasRelatedWork W1986281072 @default.
- W1948904664 hasRelatedWork W2005914573 @default.
- W1948904664 hasRelatedWork W2045171161 @default.
- W1948904664 hasRelatedWork W2118818801 @default.
- W1948904664 hasRelatedWork W2333440715 @default.
- W1948904664 hasRelatedWork W2383115700 @default.
- W1948904664 hasRelatedWork W2733889586 @default.
- W1948904664 hasRelatedWork W2783500984 @default.
- W1948904664 hasRelatedWork W2786179147 @default.
- W1948904664 hasRelatedWork W2803397749 @default.
- W1948904664 hasRelatedWork W2883956268 @default.
- W1948904664 hasRelatedWork W2914851552 @default.
- W1948904664 hasRelatedWork W2950321739 @default.
- W1948904664 hasRelatedWork W2951757479 @default.
- W1948904664 hasRelatedWork W2951866961 @default.
- W1948904664 hasRelatedWork W2964308045 @default.
- W1948904664 hasRelatedWork W3102647927 @default.
- W1948904664 hasRelatedWork W3127267605 @default.
- W1948904664 hasRelatedWork W3202998358 @default.
- W1948904664 isParatext "false" @default.
- W1948904664 isRetracted "false" @default.
- W1948904664 magId "1948904664" @default.
- W1948904664 workType "article" @default.