A characterization of the orthogonal of Δ(H2(Ω) ∩ H10(Ω)) in L2(Ω)

Franck Assous; Patrick Ciarlet

doi:10.1016/S0764-4442(97)84769-6

A characterization of the orthogonal of Δ(H²(Ω) ∩ H¹₀(Ω)) in L²(Ω)

Franck Assous
, Patrick Ciarlet

פרסום מחקרי: פרסום בכתב עת › מאמר › ביקורת עמיתים

9 ציטוטים ‏(Scopus)

תקציר

In the case of a nonconvex polyhedral domain with a Lipschitz continuous boundary, we characterize, in L² (Ω), the orthogonal subspace of the image of H²(Ω) ∩ H¹₀(Ω) by the Laplace operator. Later on, this result will lead to a decomposition of the solution of Maxwell's equations into a regular term and a singular term. This Note is the first part of the extension of [1] to tridimensional domains.

כותר מתורגם של התרומה	A characterization of the orthogonal of Δ(H²(Ω) ∩ H¹₀(Ω)) in L²(Ω)
שפה מקורית	אנגלית
עמודים (מ-עד)	605-610
מספר עמודים	6
כתב עת	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
כרך	325
מספר גיליון	6
מזהי עצם דיגיטלי (DOIs)	https://doi.org/10.1016/S0764-4442(97)84769-6
סטטוס פרסום	פורסם - ספט׳ 1997
פורסם באופן חיצוני	כן

גישה למסמך

10.1016/S0764-4442(97)84769-6

קבצים וקישורים אחרים

Link to publication in Scopus

פורמט ציטוט ביבליוגרפי

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N2 - In the case of a nonconvex polyhedral domain with a Lipschitz continuous boundary, we characterize, in L2 (Ω), the orthogonal subspace of the image of H2(Ω) ∩ H10(Ω) by the Laplace operator. Later on, this result will lead to a decomposition of the solution of Maxwell's equations into a regular term and a singular term. This Note is the first part of the extension of [1] to tridimensional domains.

AB - In the case of a nonconvex polyhedral domain with a Lipschitz continuous boundary, we characterize, in L2 (Ω), the orthogonal subspace of the image of H2(Ω) ∩ H10(Ω) by the Laplace operator. Later on, this result will lead to a decomposition of the solution of Maxwell's equations into a regular term and a singular term. This Note is the first part of the extension of [1] to tridimensional domains.

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