FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2962912057> ?p ?o ?g. }

• W2962912057 endingPage "3510" @default.
• W2962912057 startingPage "3483" @default.
• W2962912057 abstract "We prove existence and conditional energetic stability of solitary-wave solutions for the two classes of pseudodifferential equationsbegin{equation*}u_t+left(f(u)right)_x-left(L uright)_x=0end{equation*}andbegin{equation*}u_t+left(f(u)right)_x+left(L uright)_t=0,end{equation*}where $f$ is a nonlinear term, typically of the form $c|u|^p$ or $cu|u|^{p-1}$, and $L$ is a Fourier multiplier operator of positive order. The former class includes for instance the Whitham equation with capillary effects and the generalized Korteweg-de Vries equation, and the latter the Benjamin-Bona-Mahony equation. Existence and conditional energetic stability results have earlier been established using the method of concentration-compactness for a class of operators with symbol of order $sgeq 1$. We extend these results to symbols of order $0 < s < 1$, thereby improving upon the results for general operators with symbol of order $sgeq 1$ by enlarging both the class of linear operators and nonlinearities admitting existence of solitary waves. Instead of using abstract operator theory, the new results are obtained by direct calculations involving the nonlocal operator $L$, something that gives us the bounds and estimates needed for the method of concentration-compactness." @default.
• W2962912057 created "2019-07-30" @default.
• W2962912057 creator A5012140544 @default.
• W2962912057 date "2016-03-01" @default.
• W2962912057 modified "2023-09-26" @default.
• W2962912057 title "Existence of solitary-wave solutions to nonlocal equations" @default.
• W2962912057 cites W1588528702 @default.
• W2962912057 cites W1744306136 @default.
• W2962912057 cites W1969244804 @default.
• W2962912057 cites W1973347268 @default.
• W2962912057 cites W2013153702 @default.
• W2962912057 cites W2018996922 @default.
• W2962912057 cites W2029647695 @default.
• W2962912057 cites W2043855495 @default.
• W2962912057 cites W2057675424 @default.
• W2962912057 cites W2066458678 @default.
• W2962912057 cites W2188293074 @default.
• W2962912057 cites W2318119930 @default.
• W2962912057 cites W2963661406 @default.
• W2962912057 cites W3103342842 @default.
• W2962912057 cites W4240921229 @default.
• W2962912057 cites W583595445 @default.
• W2962912057 doi "https://doi.org/10.3934/dcds.2016.36.3483" @default.
• W2962912057 hasPublicationYear "2016" @default.
• W2962912057 type Work @default.
• W2962912057 sameAs 2962912057 @default.
• W2962912057 citedByCount "26" @default.
• W2962912057 countsByYear W29629120572016 @default.
• W2962912057 countsByYear W29629120572017 @default.
• W2962912057 countsByYear W29629120572018 @default.
• W2962912057 countsByYear W29629120572019 @default.
• W2962912057 countsByYear W29629120572021 @default.
• W2962912057 countsByYear W29629120572022 @default.
• W2962912057 countsByYear W29629120572023 @default.
• W2962912057 crossrefType "journal-article" @default.
• W2962912057 hasAuthorship W2962912057A5012140544 @default.
• W2962912057 hasBestOaLocation W29629120571 @default.
• W2962912057 hasConcept C10138342 @default.
• W2962912057 hasConcept C104317684 @default.
• W2962912057 hasConcept C112972136 @default.
• W2962912057 hasConcept C119857082 @default.
• W2962912057 hasConcept C121332964 @default.
• W2962912057 hasConcept C134306372 @default.
• W2962912057 hasConcept C154945302 @default.
• W2962912057 hasConcept C158448853 @default.
• W2962912057 hasConcept C158622935 @default.
• W2962912057 hasConcept C162324750 @default.
• W2962912057 hasConcept C17020691 @default.
• W2962912057 hasConcept C182306322 @default.
• W2962912057 hasConcept C185592680 @default.
• W2962912057 hasConcept C18648836 @default.
• W2962912057 hasConcept C202444582 @default.
• W2962912057 hasConcept C2777212361 @default.
• W2962912057 hasConcept C33923547 @default.
• W2962912057 hasConcept C37914503 @default.
• W2962912057 hasConcept C41008148 @default.
• W2962912057 hasConcept C55493867 @default.
• W2962912057 hasConcept C58677928 @default.
• W2962912057 hasConcept C59696629 @default.
• W2962912057 hasConcept C62520636 @default.
• W2962912057 hasConcept C86339819 @default.
• W2962912057 hasConceptScore W2962912057C10138342 @default.
• W2962912057 hasConceptScore W2962912057C104317684 @default.
• W2962912057 hasConceptScore W2962912057C112972136 @default.
• W2962912057 hasConceptScore W2962912057C119857082 @default.
• W2962912057 hasConceptScore W2962912057C121332964 @default.
• W2962912057 hasConceptScore W2962912057C134306372 @default.
• W2962912057 hasConceptScore W2962912057C154945302 @default.
• W2962912057 hasConceptScore W2962912057C158448853 @default.
• W2962912057 hasConceptScore W2962912057C158622935 @default.
• W2962912057 hasConceptScore W2962912057C162324750 @default.
• W2962912057 hasConceptScore W2962912057C17020691 @default.
• W2962912057 hasConceptScore W2962912057C182306322 @default.
• W2962912057 hasConceptScore W2962912057C185592680 @default.
• W2962912057 hasConceptScore W2962912057C18648836 @default.
• W2962912057 hasConceptScore W2962912057C202444582 @default.
• W2962912057 hasConceptScore W2962912057C2777212361 @default.
• W2962912057 hasConceptScore W2962912057C33923547 @default.
• W2962912057 hasConceptScore W2962912057C37914503 @default.
• W2962912057 hasConceptScore W2962912057C41008148 @default.
• W2962912057 hasConceptScore W2962912057C55493867 @default.
• W2962912057 hasConceptScore W2962912057C58677928 @default.
• W2962912057 hasConceptScore W2962912057C59696629 @default.
• W2962912057 hasConceptScore W2962912057C62520636 @default.
• W2962912057 hasConceptScore W2962912057C86339819 @default.
• W2962912057 hasIssue "7" @default.
• W2962912057 hasLocation W29629120571 @default.
• W2962912057 hasLocation W29629120572 @default.
• W2962912057 hasOpenAccess W2962912057 @default.
• W2962912057 hasPrimaryLocation W29629120571 @default.
• W2962912057 hasRelatedWork W2031675395 @default.
• W2962912057 hasRelatedWork W2056990933 @default.
• W2962912057 hasRelatedWork W2106413662 @default.
• W2962912057 hasRelatedWork W2802988225 @default.
• W2962912057 hasRelatedWork W2900777623 @default.
• W2962912057 hasRelatedWork W2904592692 @default.
• W2962912057 hasRelatedWork W2943957467 @default.
• W2962912057 hasRelatedWork W2963883096 @default.

• next