We consider the Dirichlet to Neumann operator for abelian Yang- Mills boundary conditions. We treat the case for space-time manifolds with general smooth boundary components. The aim is constructing a complex structure for the symplectic space of boundary conditions of Euler-Lagrange solutions modulo ...
dirichlet-to-nenumann算子的定义 Dirichlet-Neumann Laplacian, also known as the Dirichlet-to-Neumann operator, is a mathematical operator that arises in the study of partial differential equations. It plays a fundamental role in mathematical analysis and hasapplications in various fields such as ...
dirichlet-to-nenumann算子的定义-回复 Dirichlet-Neumann Laplacian operator, also known as the mixed boundary value problem, is a mathematical operator used to solve partial differential equations subject to mixed boundary conditions. In this article, we willexplore the definition of the Dirichlet-...
We define the Dirichlet to Neumann operator on exterior differential forms for a compact Riemannian manifold with boundary and prove that the real additive cohomology structure of the manifold is determined by the DN operator. In particular, an explicit formula is obtained which expresses Betti ...
Wedef i ne the Dirichlet-to-Neumann operator N on L 2 (Γ) associated witha second order elliptic operator A = −P dk,j=1 ∂ k (c kl ∂ l )+P dk=1 b k ∂ k −∂ k (c k ·)+a 0 . We prove a criterion for invariance of a closed convex setunder the action ...
Gander, M.J., Sch¨adle, A.: The pole condition: a Pad´e approximation of the Dirichlet to Neumann operator. In: Domain decomposition methods in science and engineering XIX, Lect. Notes Comput. Sci. Eng., vol. 78, pp. 125-132. Springer, Heidelberg (2011)...
Dirichlet to Neumann operator on differential forms Bull. Sci. Math. (2008) J. Escobar An isoperimetric inequality and the first Steklov eigenvalue J. Funct. Anal. (1999) D. Horak et al. Spectra of combinatorial Laplace operators on simplicial complexes Adv. Math. (2013) G. Liu On asympto...
Dirichlet-to-Neumann operatorfractional powermaximal regularity of solutionssectorial operator35R1135B6547A07In the very influential paper [4 Caffarelli, L.A., Silvestre, L. (2007). An extension problem related to the fractional Laplacian. Commun. Partial Differential Equations 32:1245–1260.[Taylor...
Dirichlet-Neumann算子 1. In this paper, using an expression for Dirichlet integral in terms of the Dirichlet-Neumann operator, we derive a Hamiltonian formulation of the fluid in terms of Zakharov s Hamiltonian. 本文运用Dirichlet-Neumann算子给出的Dirichlet积分的表达式,推导了两层和三层流体域中有关...
We consider the Dirichlet-to-Neumann operator in strip-like and half-space domains with Lipschitz boundary. It is shown that the quadratic form generated by the Dirichlet-to-Neumann operator controls some sharp homogeneous fractional Sobolev norm. As an application, we prove that the global Lipschit...