FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2799462007> ?p ?o ?g. }

• W2799462007 abstract "We use the notion of first and second inner variations as a bridge allowing one to pass to the limit of first and second Gateaux variations for the Allen-Cahn, Cahn-Hilliard and Ohta-Kawasaki energies. Under suitable assumptions, this allows us to show that stability passes to the sharp interface limit, including boundary terms, by considering non-compactly supported velocity and acceleration fields in our variations. This complements the results of Tonegawa, and Tonegawa and Wickramasekera, where interior stability is shown to pass to the limit. As a further application, we prove an asymptotic upper bound on the $k^{th}$ Neumann eigenvalue of the linearization of the Allen-Cahn operator, relating it to the $k^{th}$ Robin eigenvalue of the Jacobi operator, taken with respect to the minimal surface arising as the asymptotic location of the zero set of the Allen-Cahn critical points. We also prove analogous results for eigenvalues of the linearized operators arising in the Cahn-Hilliard and Ohta-Kawasaki settings. These complement the earlier result of the first author where such an asymptotic upper bound is achieved for Dirichlet eigenvalues for the linearized Allen-Cahn operator. Our asymptotic upper bound on Allen-Cahn Neumann eigenvalues extends, in one direction, the asymptotic equivalence of these eigenvalues established in the work of Kowalczyk in the two-dimensional case where the minimal surface is a line segment and specific Allen-Cahn critical points are suitably constructed." @default.
• W2799462007 created "2018-05-17" @default.
• W2799462007 creator A5027907644 @default.
• W2799462007 creator A5033685679 @default.
• W2799462007 date "2018-05-07" @default.
• W2799462007 modified "2023-09-27" @default.
• W2799462007 title "Asymptotic Behavior of Allen-Cahn Type Energies and Neumann Eigenvalues via Inner Variations" @default.
• W2799462007 cites W1489458628 @default.
• W2799462007 cites W1580929281 @default.
• W2799462007 cites W1603289878 @default.
• W2799462007 cites W1680579736 @default.
• W2799462007 cites W1969505588 @default.
• W2799462007 cites W2041001120 @default.
• W2799462007 cites W2061454730 @default.
• W2799462007 cites W2081812572 @default.
• W2799462007 cites W2093626071 @default.
• W2799462007 cites W2104361850 @default.
• W2799462007 cites W2138618054 @default.
• W2799462007 cites W2141411107 @default.
• W2799462007 cites W2159456902 @default.
• W2799462007 cites W2607828465 @default.
• W2799462007 cites W2730037232 @default.
• W2799462007 cites W2761918954 @default.
• W2799462007 cites W2766181973 @default.
• W2799462007 cites W2962791298 @default.
• W2799462007 cites W2962936276 @default.
• W2799462007 cites W2964180324 @default.
• W2799462007 cites W3104533527 @default.
• W2799462007 cites W603851488 @default.
• W2799462007 cites W649818166 @default.
• W2799462007 cites W656727543 @default.
• W2799462007 cites W954334214 @default.
• W2799462007 hasPublicationYear "2018" @default.
• W2799462007 type Work @default.
• W2799462007 sameAs 2799462007 @default.
• W2799462007 citedByCount "1" @default.
• W2799462007 countsByYear W27994620072017 @default.
• W2799462007 crossrefType "posted-content" @default.
• W2799462007 hasAuthorship W2799462007A5027907644 @default.
• W2799462007 hasAuthorship W2799462007A5033685679 @default.
• W2799462007 hasConcept C104317684 @default.
• W2799462007 hasConcept C121332964 @default.
• W2799462007 hasConcept C134306372 @default.
• W2799462007 hasConcept C151201525 @default.
• W2799462007 hasConcept C158448853 @default.
• W2799462007 hasConcept C158693339 @default.
• W2799462007 hasConcept C163681178 @default.
• W2799462007 hasConcept C17020691 @default.
• W2799462007 hasConcept C185592680 @default.
• W2799462007 hasConcept C18903297 @default.
• W2799462007 hasConcept C2777166216 @default.
• W2799462007 hasConcept C2777299769 @default.
• W2799462007 hasConcept C33923547 @default.
• W2799462007 hasConcept C55493867 @default.
• W2799462007 hasConcept C62354387 @default.
• W2799462007 hasConcept C62520636 @default.
• W2799462007 hasConcept C77553402 @default.
• W2799462007 hasConcept C86339819 @default.
• W2799462007 hasConcept C86803240 @default.
• W2799462007 hasConceptScore W2799462007C104317684 @default.
• W2799462007 hasConceptScore W2799462007C121332964 @default.
• W2799462007 hasConceptScore W2799462007C134306372 @default.
• W2799462007 hasConceptScore W2799462007C151201525 @default.
• W2799462007 hasConceptScore W2799462007C158448853 @default.
• W2799462007 hasConceptScore W2799462007C158693339 @default.
• W2799462007 hasConceptScore W2799462007C163681178 @default.
• W2799462007 hasConceptScore W2799462007C17020691 @default.
• W2799462007 hasConceptScore W2799462007C185592680 @default.
• W2799462007 hasConceptScore W2799462007C18903297 @default.
• W2799462007 hasConceptScore W2799462007C2777166216 @default.
• W2799462007 hasConceptScore W2799462007C2777299769 @default.
• W2799462007 hasConceptScore W2799462007C33923547 @default.
• W2799462007 hasConceptScore W2799462007C55493867 @default.
• W2799462007 hasConceptScore W2799462007C62354387 @default.
• W2799462007 hasConceptScore W2799462007C62520636 @default.
• W2799462007 hasConceptScore W2799462007C77553402 @default.
• W2799462007 hasConceptScore W2799462007C86339819 @default.
• W2799462007 hasConceptScore W2799462007C86803240 @default.
• W2799462007 hasLocation W27994620071 @default.
• W2799462007 hasOpenAccess W2799462007 @default.
• W2799462007 hasPrimaryLocation W27994620071 @default.
• W2799462007 hasRelatedWork W1527536902 @default.
• W2799462007 hasRelatedWork W1973643272 @default.
• W2799462007 hasRelatedWork W2032721301 @default.
• W2799462007 hasRelatedWork W2038059270 @default.
• W2799462007 hasRelatedWork W2080297285 @default.
• W2799462007 hasRelatedWork W2082252997 @default.
• W2799462007 hasRelatedWork W2151137248 @default.
• W2799462007 hasRelatedWork W2175070667 @default.
• W2799462007 hasRelatedWork W2269451126 @default.
• W2799462007 hasRelatedWork W2519859723 @default.
• W2799462007 hasRelatedWork W2896786915 @default.
• W2799462007 hasRelatedWork W2949751915 @default.
• W2799462007 hasRelatedWork W2951728378 @default.
• W2799462007 hasRelatedWork W2951924629 @default.
• W2799462007 hasRelatedWork W2960968585 @default.
• W2799462007 hasRelatedWork W2963697126 @default.
• W2799462007 hasRelatedWork W3031487561 @default.
• W2799462007 hasRelatedWork W3085212004 @default.
• W2799462007 hasRelatedWork W3163090613 @default.

• next