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helmholtz-Weyl
In physics and mathematics, in the area of vector calculus, Helmholtz's theorem, also known as the fundamental theorem of vector calculus, states that any ...
由 M Hieber 著作2021被引用 2 次 — In our two dimensional situation, r=2 is the only critical exponent, which determines the validity of a unique Helmholtz–Weyl decomposition.
由 N Sauer 著作2007 — The Helmholtz–Weyl decomposition in which a vector field is decomposed into the curl of a vector potential and the gradient of a scalar potential, ...
由 M Hieber 著作2021被引用 1 次 — In this article the Helmholtz-Weyl decomposition in three dimensional exterior domains is established within the L r -setting for 1 < r < ∞ ...
由 M Hieber 著作2019被引用 1 次 — Abstract: In this article the Helmholtz-Weyl decomposition in three dimensional exterior domains is established within the L^r-setting for ...
PDF | We show that every Lr-vector field on Ω can be uniquely decomposed into two spaces with scalar and vector potentials, and the harmonic vector.
Let Ω be a two-dimensional exterior domain with smooth boundary ∂Ω and 1 < r< ∞. Then Lr(Ω) 2 allows a Helmholtz–Weyl decomposition, i.e., for every u∈ ...
由 H Kozono 著作 — In this article, we first give a survey on our new Helmholtz-Weyl decomposition of Lr-vector fields in bounded domains Ω in R3 with the smooth boundary ∂Ω.
53 頁·270 KB
Lг-Helmholtz-Weyl decomposition in two dimensional exterior domains. Hideo Kozono. March 8, 2021. Abstract. In 2D exterior domains, we consider two spaces ...
1 頁·80 KB

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