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

نتاج البحث: نشر في مجلة › مقالة › مراجعة النظراء

9 اقتباسات (Scopus)

ملخص

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.

العنوان المترجم للمساهمة	A characterization of the orthogonal of Δ(H²(Ω) ∩ H¹₀(Ω)) in L²(Ω)
اللغة الأصلية	الإنجليزيّة
الصفحات (من إلى)	605-610
عدد الصفحات	6
دورية	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
مستوى الصوت	325
رقم الإصدار	6
المعرِّفات الرقمية للأشياء	https://doi.org/10.1016/S0764-4442(97)84769-6
حالة النشر	نُشِر - سبتمبر 1997
منشور خارجيًا	نعم

الوصول إلى المستند

10.1016/S0764-4442(97)84769-6

الملفات والروابط الأخرى

Link to publication in Scopus

قم بذكر هذا

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AU - Ciarlet, Patrick

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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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