Matches in SemOpenAlex for { <https://semopenalex.org/work/W2077888733> ?p ?o ?g. }
Showing items 1 to 96 of
96
with 100 items per page.
- W2077888733 endingPage "174" @default.
- W2077888733 startingPage "165" @default.
- W2077888733 abstract "In accordance with the demands of the so-called local approach to inverse problems, the set of “waves” uf (·, T) is studied, where uf (x,t) is the solution of the initial boundary-value problem utt−Δu=0 in Ω×(0,T), u|t<0=0, u|∂Ω×(0,T)=f, and the (singular) control f runs over the class L2((0,T); H−m (∂Ω)) (m>0). The following result is established. Let ΩT={x ∈ Ω : dist(x, ∂Ω)<T)} be a subdomain of Ω ⊂ ℝn (diam Ω<∞) filled with waves by a final instant of time t=T, let T*=inf{T : ΩT=Ω} be the time of filling the whole domain Ω. We introduce the notation Dm=Dom((−Δ)m/2), where (−Δ) is the Laplace operator, Dom(−Δ)=H2(Ω)∩H 0 1 (Ω);D−m=(Dm)′;D−m(ΩT)={y∈D−m:supp y ⋐ ΩT. If T<T., then the reachable set R m T ={ut(·, T): f ∈ L2((0,T), H−m (∂Ω))} (∀m>0), which is dense in D−m(ΩT), does not contain the class C 0 ∞ (ΩT). Examples of a ∈ C 0 ∞ , a ∈ R m T , are presented." @default.
- W2077888733 created "2016-06-24" @default.
- W2077888733 creator A5004625354 @default.
- W2077888733 creator A5040915935 @default.
- W2077888733 creator A5066573953 @default.
- W2077888733 date "1997-01-01" @default.
- W2077888733 modified "2023-09-27" @default.
- W2077888733 title "Controllability in a filled domain for the multidimensional wave equation with a singular boundary control" @default.
- W2077888733 cites W1230571684 @default.
- W2077888733 cites W1974146271 @default.
- W2077888733 cites W1985190605 @default.
- W2077888733 cites W2031521898 @default.
- W2077888733 cites W2033067769 @default.
- W2077888733 cites W2057817591 @default.
- W2077888733 cites W2066096538 @default.
- W2077888733 cites W3208289146 @default.
- W2077888733 cites W2521818335 @default.
- W2077888733 doi "https://doi.org/10.1007/bf02405808" @default.
- W2077888733 hasPublicationYear "1997" @default.
- W2077888733 type Work @default.
- W2077888733 sameAs 2077888733 @default.
- W2077888733 citedByCount "5" @default.
- W2077888733 countsByYear W20778887332014 @default.
- W2077888733 countsByYear W20778887332021 @default.
- W2077888733 crossrefType "journal-article" @default.
- W2077888733 hasAuthorship W2077888733A5004625354 @default.
- W2077888733 hasAuthorship W2077888733A5040915935 @default.
- W2077888733 hasAuthorship W2077888733A5066573953 @default.
- W2077888733 hasBestOaLocation W20778887331 @default.
- W2077888733 hasConcept C104317684 @default.
- W2077888733 hasConcept C109282560 @default.
- W2077888733 hasConcept C114614502 @default.
- W2077888733 hasConcept C121332964 @default.
- W2077888733 hasConcept C134306372 @default.
- W2077888733 hasConcept C154945302 @default.
- W2077888733 hasConcept C158448853 @default.
- W2077888733 hasConcept C158693339 @default.
- W2077888733 hasConcept C17020691 @default.
- W2077888733 hasConcept C185592680 @default.
- W2077888733 hasConcept C207467116 @default.
- W2077888733 hasConcept C2524010 @default.
- W2077888733 hasConcept C2777212361 @default.
- W2077888733 hasConcept C28826006 @default.
- W2077888733 hasConcept C33923547 @default.
- W2077888733 hasConcept C36503486 @default.
- W2077888733 hasConcept C37914503 @default.
- W2077888733 hasConcept C41008148 @default.
- W2077888733 hasConcept C48209547 @default.
- W2077888733 hasConcept C55493867 @default.
- W2077888733 hasConcept C62354387 @default.
- W2077888733 hasConcept C62520636 @default.
- W2077888733 hasConcept C86339819 @default.
- W2077888733 hasConceptScore W2077888733C104317684 @default.
- W2077888733 hasConceptScore W2077888733C109282560 @default.
- W2077888733 hasConceptScore W2077888733C114614502 @default.
- W2077888733 hasConceptScore W2077888733C121332964 @default.
- W2077888733 hasConceptScore W2077888733C134306372 @default.
- W2077888733 hasConceptScore W2077888733C154945302 @default.
- W2077888733 hasConceptScore W2077888733C158448853 @default.
- W2077888733 hasConceptScore W2077888733C158693339 @default.
- W2077888733 hasConceptScore W2077888733C17020691 @default.
- W2077888733 hasConceptScore W2077888733C185592680 @default.
- W2077888733 hasConceptScore W2077888733C207467116 @default.
- W2077888733 hasConceptScore W2077888733C2524010 @default.
- W2077888733 hasConceptScore W2077888733C2777212361 @default.
- W2077888733 hasConceptScore W2077888733C28826006 @default.
- W2077888733 hasConceptScore W2077888733C33923547 @default.
- W2077888733 hasConceptScore W2077888733C36503486 @default.
- W2077888733 hasConceptScore W2077888733C37914503 @default.
- W2077888733 hasConceptScore W2077888733C41008148 @default.
- W2077888733 hasConceptScore W2077888733C48209547 @default.
- W2077888733 hasConceptScore W2077888733C55493867 @default.
- W2077888733 hasConceptScore W2077888733C62354387 @default.
- W2077888733 hasConceptScore W2077888733C62520636 @default.
- W2077888733 hasConceptScore W2077888733C86339819 @default.
- W2077888733 hasIssue "2" @default.
- W2077888733 hasLocation W20778887331 @default.
- W2077888733 hasOpenAccess W2077888733 @default.
- W2077888733 hasPrimaryLocation W20778887331 @default.
- W2077888733 hasRelatedWork W1977087600 @default.
- W2077888733 hasRelatedWork W1980181384 @default.
- W2077888733 hasRelatedWork W2009509457 @default.
- W2077888733 hasRelatedWork W2063739884 @default.
- W2077888733 hasRelatedWork W2074753555 @default.
- W2077888733 hasRelatedWork W2128833820 @default.
- W2077888733 hasRelatedWork W3009603864 @default.
- W2077888733 hasRelatedWork W3082173467 @default.
- W2077888733 hasRelatedWork W3110502744 @default.
- W2077888733 hasRelatedWork W3187552474 @default.
- W2077888733 hasVolume "83" @default.
- W2077888733 isParatext "false" @default.
- W2077888733 isRetracted "false" @default.
- W2077888733 magId "2077888733" @default.
- W2077888733 workType "article" @default.