Matches in SemOpenAlex for { <https://semopenalex.org/work/W4296932831> ?p ?o ?g. }
Showing items 1 to 72 of
72
with 100 items per page.
- W4296932831 abstract "Let $(M,g)$ be a closed Riemannian manifold. The aim of this work is to prove the Lebeau-Robbiano spectral inequality for a positive elliptic pseudo-differential operator $E(x,D)$ on $M,$ of order $nu>0,$ in the Hormander class $Psi^nu_{rho,delta}(M).$ In control theory this has been an open problem prior to this work. As an application of this fundamental result, we establish the null-controllability of the (fractional) heat equation associated with $E(x,D).$ The sensor $omegasubset M$ in the observability inequality is an open subset of $M.$ The obtained results (that are, the corresponding spectral inequality for an elliptic operator and the null-controllability for its diffusion model) extend in the setting of closed manifolds, classical results of the control theory, as the spectral inequality due to Lebeau and Robbiano and their result on the null-controllability of the heat equation giving a complete picture of the subject in the setting of closed manifolds. For the proof of the spectral inequality we introduce a periodization approach in time inspired by the global pseudo-differential calculus due to Ruzhansky and Turunen." @default.
- W4296932831 created "2022-09-24" @default.
- W4296932831 creator A5080194249 @default.
- W4296932831 date "2022-09-21" @default.
- W4296932831 modified "2023-09-23" @default.
- W4296932831 title "Spectral inequalities for elliptic pseudo-differential operators on closed manifolds" @default.
- W4296932831 doi "https://doi.org/10.48550/arxiv.2209.10690" @default.
- W4296932831 hasPublicationYear "2022" @default.
- W4296932831 type Work @default.
- W4296932831 citedByCount "0" @default.
- W4296932831 crossrefType "posted-content" @default.
- W4296932831 hasAuthorship W4296932831A5080194249 @default.
- W4296932831 hasBestOaLocation W42969328311 @default.
- W4296932831 hasConcept C104317684 @default.
- W4296932831 hasConcept C134306372 @default.
- W4296932831 hasConcept C158448853 @default.
- W4296932831 hasConcept C17020691 @default.
- W4296932831 hasConcept C185592680 @default.
- W4296932831 hasConcept C202444582 @default.
- W4296932831 hasConcept C203763787 @default.
- W4296932831 hasConcept C24902271 @default.
- W4296932831 hasConcept C2779593128 @default.
- W4296932831 hasConcept C28826006 @default.
- W4296932831 hasConcept C33923547 @default.
- W4296932831 hasConcept C36299963 @default.
- W4296932831 hasConcept C41008148 @default.
- W4296932831 hasConcept C48209547 @default.
- W4296932831 hasConcept C55493867 @default.
- W4296932831 hasConcept C70610323 @default.
- W4296932831 hasConcept C70915906 @default.
- W4296932831 hasConcept C77088390 @default.
- W4296932831 hasConcept C8464174 @default.
- W4296932831 hasConcept C86339819 @default.
- W4296932831 hasConcept C9012821 @default.
- W4296932831 hasConceptScore W4296932831C104317684 @default.
- W4296932831 hasConceptScore W4296932831C134306372 @default.
- W4296932831 hasConceptScore W4296932831C158448853 @default.
- W4296932831 hasConceptScore W4296932831C17020691 @default.
- W4296932831 hasConceptScore W4296932831C185592680 @default.
- W4296932831 hasConceptScore W4296932831C202444582 @default.
- W4296932831 hasConceptScore W4296932831C203763787 @default.
- W4296932831 hasConceptScore W4296932831C24902271 @default.
- W4296932831 hasConceptScore W4296932831C2779593128 @default.
- W4296932831 hasConceptScore W4296932831C28826006 @default.
- W4296932831 hasConceptScore W4296932831C33923547 @default.
- W4296932831 hasConceptScore W4296932831C36299963 @default.
- W4296932831 hasConceptScore W4296932831C41008148 @default.
- W4296932831 hasConceptScore W4296932831C48209547 @default.
- W4296932831 hasConceptScore W4296932831C55493867 @default.
- W4296932831 hasConceptScore W4296932831C70610323 @default.
- W4296932831 hasConceptScore W4296932831C70915906 @default.
- W4296932831 hasConceptScore W4296932831C77088390 @default.
- W4296932831 hasConceptScore W4296932831C8464174 @default.
- W4296932831 hasConceptScore W4296932831C86339819 @default.
- W4296932831 hasConceptScore W4296932831C9012821 @default.
- W4296932831 hasLocation W42969328311 @default.
- W4296932831 hasLocation W42969328312 @default.
- W4296932831 hasOpenAccess W4296932831 @default.
- W4296932831 hasPrimaryLocation W42969328311 @default.
- W4296932831 hasRelatedWork W1569734721 @default.
- W4296932831 hasRelatedWork W2036999707 @default.
- W4296932831 hasRelatedWork W2077929606 @default.
- W4296932831 hasRelatedWork W2580275160 @default.
- W4296932831 hasRelatedWork W2884695699 @default.
- W4296932831 hasRelatedWork W2991676096 @default.
- W4296932831 hasRelatedWork W4281729251 @default.
- W4296932831 hasRelatedWork W4318445765 @default.
- W4296932831 hasRelatedWork W43600259 @default.
- W4296932831 hasRelatedWork W905991300 @default.
- W4296932831 isParatext "false" @default.
- W4296932831 isRetracted "false" @default.
- W4296932831 workType "article" @default.