Matches in SemOpenAlex for { <https://semopenalex.org/work/W2278549117> ?p ?o ?g. }
Showing items 1 to 82 of
82
with 100 items per page.
- W2278549117 endingPage "54" @default.
- W2278549117 startingPage "31" @default.
- W2278549117 abstract "We study the homogeneous Dirichlet problem for the evolution p-Laplacian with the nonlocal memory term (0.1)ut−Δpu=∫0tg(t−s)Δpu(x,s)ds+Θ(x,t,u)+f(x,t)in Q=Ω×(0,T), where Ω⊂Rn is a bounded domain, Θ, g and f are given functions. It is proved that for max{1,2nn+2}<p<∞, g,g′∈L2(0,T) and u0∈W01,p(Ω), f∈L2(Q) the problem admits a weak solution, which is global or local in time in dependence on the growth rate of Θ(x,t,s) as |s|→∞. Conditions of uniqueness are established. It is proved that for p>2 and sΘ(x,t,s)≤0 the disturbances from the data propagate with finite speed and the “waiting time” effect is possible. We present simple explicit solutions that show the failure of the maximum and comparison principles for the solutions of equation (0.1)." @default.
- W2278549117 created "2016-06-24" @default.
- W2278549117 creator A5034076121 @default.
- W2278549117 creator A5052783073 @default.
- W2278549117 creator A5057877409 @default.
- W2278549117 creator A5069175255 @default.
- W2278549117 date "2016-03-01" @default.
- W2278549117 modified "2023-10-18" @default.
- W2278549117 title "On the evolution <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif display=inline overflow=scroll><mml:mi>p</mml:mi></mml:math>-Laplacian with nonlocal memory" @default.
- W2278549117 cites W1977063579 @default.
- W2278549117 cites W1981964663 @default.
- W2278549117 cites W1982978058 @default.
- W2278549117 cites W2004856910 @default.
- W2278549117 cites W2005650339 @default.
- W2278549117 cites W2012908390 @default.
- W2278549117 cites W2029300394 @default.
- W2278549117 cites W2037661756 @default.
- W2278549117 cites W2044412379 @default.
- W2278549117 cites W2046305371 @default.
- W2278549117 cites W2046775852 @default.
- W2278549117 cites W2048626366 @default.
- W2278549117 cites W2050735300 @default.
- W2278549117 cites W2073078790 @default.
- W2278549117 cites W2073428348 @default.
- W2278549117 cites W2111819168 @default.
- W2278549117 cites W4237169581 @default.
- W2278549117 doi "https://doi.org/10.1016/j.na.2015.12.011" @default.
- W2278549117 hasPublicationYear "2016" @default.
- W2278549117 type Work @default.
- W2278549117 sameAs 2278549117 @default.
- W2278549117 citedByCount "6" @default.
- W2278549117 countsByYear W22785491172016 @default.
- W2278549117 countsByYear W22785491172018 @default.
- W2278549117 countsByYear W22785491172019 @default.
- W2278549117 countsByYear W22785491172022 @default.
- W2278549117 countsByYear W22785491172023 @default.
- W2278549117 crossrefType "journal-article" @default.
- W2278549117 hasAuthorship W2278549117A5034076121 @default.
- W2278549117 hasAuthorship W2278549117A5052783073 @default.
- W2278549117 hasAuthorship W2278549117A5057877409 @default.
- W2278549117 hasAuthorship W2278549117A5069175255 @default.
- W2278549117 hasConcept C114614502 @default.
- W2278549117 hasConcept C134306372 @default.
- W2278549117 hasConcept C165700671 @default.
- W2278549117 hasConcept C169214877 @default.
- W2278549117 hasConcept C182310444 @default.
- W2278549117 hasConcept C2777021972 @default.
- W2278549117 hasConcept C33923547 @default.
- W2278549117 hasConcept C34388435 @default.
- W2278549117 hasConcept C36503486 @default.
- W2278549117 hasConcept C66882249 @default.
- W2278549117 hasConceptScore W2278549117C114614502 @default.
- W2278549117 hasConceptScore W2278549117C134306372 @default.
- W2278549117 hasConceptScore W2278549117C165700671 @default.
- W2278549117 hasConceptScore W2278549117C169214877 @default.
- W2278549117 hasConceptScore W2278549117C182310444 @default.
- W2278549117 hasConceptScore W2278549117C2777021972 @default.
- W2278549117 hasConceptScore W2278549117C33923547 @default.
- W2278549117 hasConceptScore W2278549117C34388435 @default.
- W2278549117 hasConceptScore W2278549117C36503486 @default.
- W2278549117 hasConceptScore W2278549117C66882249 @default.
- W2278549117 hasFunder F4320322930 @default.
- W2278549117 hasLocation W22785491171 @default.
- W2278549117 hasOpenAccess W2278549117 @default.
- W2278549117 hasPrimaryLocation W22785491171 @default.
- W2278549117 hasRelatedWork W1585870819 @default.
- W2278549117 hasRelatedWork W2015432890 @default.
- W2278549117 hasRelatedWork W2068419836 @default.
- W2278549117 hasRelatedWork W2137055417 @default.
- W2278549117 hasRelatedWork W2144676691 @default.
- W2278549117 hasRelatedWork W2365429901 @default.
- W2278549117 hasRelatedWork W2369657536 @default.
- W2278549117 hasRelatedWork W2508279689 @default.
- W2278549117 hasRelatedWork W2968750893 @default.
- W2278549117 hasRelatedWork W3035309904 @default.
- W2278549117 hasVolume "134" @default.
- W2278549117 isParatext "false" @default.
- W2278549117 isRetracted "false" @default.
- W2278549117 magId "2278549117" @default.
- W2278549117 workType "article" @default.
