FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3009063390> ?p ?o ?g. }

• W3009063390 endingPage "15081" @default.
• W3009063390 startingPage "15040" @default.
• W3009063390 abstract "Abstract We prove sharp inequalities for the symmetric-decreasing rearrangement in Fourier space of functions in $mathbb{R}^d$. Our main result can be applied to a general class of (pseudo-)differential operators in $mathbb{R}^d$ of arbitrary order with radial Fourier multipliers. For example, we can take any positive power of the Laplacian $(-Delta )^s$ with $s&gt; 0$ and, in particular, any polyharmonic operator $(-Delta )^m$ with integer $m geqslant 1$. As applications, we prove radial symmetry and real-valuedness (up to trivial symmetries) of optimizers for (1) Gagliardo–Nirenberg inequalities with derivatives of arbitrary order, (2) ground states for bi- and polyharmonic nonlinear Schrödinger equations (NLS), and (3) Adams–Moser–Trudinger type inequalities for $H^{d/2}(mathbb{R}^d)$ in any dimension $d geqslant 1$. As a technical key result, we solve a phase retrieval problem for the Fourier transform in $mathbb{R}^d$. To achieve this, we classify the case of equality in the corresponding Hardy–Littlewood majorant problem for the Fourier transform in $mathbb{R}^d$." @default.
• W3009063390 created "2020-03-13" @default.
• W3009063390 creator A5022399477 @default.
• W3009063390 creator A5063831177 @default.
• W3009063390 date "2020-03-05" @default.
• W3009063390 modified "2023-09-24" @default.
• W3009063390 title "A Sharp Rearrangement Principle in Fourier Space and Symmetry Results for PDEs with Arbitrary Order" @default.
• W3009063390 cites W1513832254 @default.
• W3009063390 cites W1659004305 @default.
• W3009063390 cites W1695100291 @default.
• W3009063390 cites W1744306136 @default.
• W3009063390 cites W175087337 @default.
• W3009063390 cites W1970211540 @default.
• W3009063390 cites W1977212986 @default.
• W3009063390 cites W1982357817 @default.
• W3009063390 cites W1989243683 @default.
• W3009063390 cites W2003146446 @default.
• W3009063390 cites W2011020349 @default.
• W3009063390 cites W2017437908 @default.
• W3009063390 cites W2024793963 @default.
• W3009063390 cites W2027736906 @default.
• W3009063390 cites W2049000754 @default.
• W3009063390 cites W2053694636 @default.
• W3009063390 cites W2066458678 @default.
• W3009063390 cites W2066606909 @default.
• W3009063390 cites W2077034061 @default.
• W3009063390 cites W2082750537 @default.
• W3009063390 cites W2084880547 @default.
• W3009063390 cites W2091293042 @default.
• W3009063390 cites W2093905372 @default.
• W3009063390 cites W2104846375 @default.
• W3009063390 cites W2118818801 @default.
• W3009063390 cites W2153919696 @default.
• W3009063390 cites W2335553642 @default.
• W3009063390 cites W2396338340 @default.
• W3009063390 cites W2952077239 @default.
• W3009063390 cites W2964135802 @default.
• W3009063390 cites W2964308045 @default.
• W3009063390 cites W3016762350 @default.
• W3009063390 cites W3021947329 @default.
• W3009063390 cites W3101112497 @default.
• W3009063390 doi "https://doi.org/10.1093/imrn/rnz274" @default.
• W3009063390 hasPublicationYear "2020" @default.
• W3009063390 type Work @default.
• W3009063390 sameAs 3009063390 @default.
• W3009063390 citedByCount "8" @default.
• W3009063390 countsByYear W30090633902020 @default.
• W3009063390 countsByYear W30090633902021 @default.
• W3009063390 countsByYear W30090633902022 @default.
• W3009063390 crossrefType "journal-article" @default.
• W3009063390 hasAuthorship W3009063390A5022399477 @default.
• W3009063390 hasAuthorship W3009063390A5063831177 @default.
• W3009063390 hasBestOaLocation W30090633902 @default.
• W3009063390 hasConcept C10138342 @default.
• W3009063390 hasConcept C102519508 @default.
• W3009063390 hasConcept C104317684 @default.
• W3009063390 hasConcept C114614502 @default.
• W3009063390 hasConcept C134306372 @default.
• W3009063390 hasConcept C138885662 @default.
• W3009063390 hasConcept C158448853 @default.
• W3009063390 hasConcept C162324750 @default.
• W3009063390 hasConcept C165700671 @default.
• W3009063390 hasConcept C17020691 @default.
• W3009063390 hasConcept C182306322 @default.
• W3009063390 hasConcept C185592680 @default.
• W3009063390 hasConcept C18903297 @default.
• W3009063390 hasConcept C199360897 @default.
• W3009063390 hasConcept C202444582 @default.
• W3009063390 hasConcept C2524010 @default.
• W3009063390 hasConcept C2777299769 @default.
• W3009063390 hasConcept C2778572836 @default.
• W3009063390 hasConcept C2779886137 @default.
• W3009063390 hasConcept C33676613 @default.
• W3009063390 hasConcept C33923547 @default.
• W3009063390 hasConcept C41008148 @default.
• W3009063390 hasConcept C41895202 @default.
• W3009063390 hasConcept C55493867 @default.
• W3009063390 hasConcept C70915906 @default.
• W3009063390 hasConcept C86339819 @default.
• W3009063390 hasConcept C86803240 @default.
• W3009063390 hasConcept C96469262 @default.
• W3009063390 hasConcept C97137487 @default.
• W3009063390 hasConceptScore W3009063390C10138342 @default.
• W3009063390 hasConceptScore W3009063390C102519508 @default.
• W3009063390 hasConceptScore W3009063390C104317684 @default.
• W3009063390 hasConceptScore W3009063390C114614502 @default.
• W3009063390 hasConceptScore W3009063390C134306372 @default.
• W3009063390 hasConceptScore W3009063390C138885662 @default.
• W3009063390 hasConceptScore W3009063390C158448853 @default.
• W3009063390 hasConceptScore W3009063390C162324750 @default.
• W3009063390 hasConceptScore W3009063390C165700671 @default.
• W3009063390 hasConceptScore W3009063390C17020691 @default.
• W3009063390 hasConceptScore W3009063390C182306322 @default.
• W3009063390 hasConceptScore W3009063390C185592680 @default.
• W3009063390 hasConceptScore W3009063390C18903297 @default.
• W3009063390 hasConceptScore W3009063390C199360897 @default.
• W3009063390 hasConceptScore W3009063390C202444582 @default.
• W3009063390 hasConceptScore W3009063390C2524010 @default.

• next