Výsledky vyhledávání - $\overline\partial$-Neumann problem

Regularity in the $$\overline{\partial }$$–Neumann Problem, D’Angelo Forms, and Diederich–Fornæss Index Autor Straube, Emil J.

“…}$$ C n admits a defining function that is plurisubharmonic at points of the boundary, then the $$\overline{\partial…”
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Dirichlet to Neumann operators and the \(\overline{\partial}\)-Neumann problem Autor Ehsani, Dariush

“…We study the Dirichlet to Neumann operator of the \(\overline{\partial}\)-Neumann problem, and the relation between the \(\overline{\partial…”
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Compactness for the -Neumann problem: a functional analysis approach Autor Haslinger, Friedrich

“…We characterize compactness of the -Neumann operator for a smoothly bounded pseudoconvex domain and in the setting of weighted L 2 -spaces on . For this…”
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Diederich--Forn\ae ss index and global regularity in the \(\overline{\partial}\)--Neumann problem: domains with comparable Levi eigenvalues Autor Liu, Bingyuan, Straube, Emil J

“…\) implies global regularity in the \(\overline{\partial}\)--Neumann problem…”
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On compactness and \(L^p\)-regularity in the \(\overline{\partial}\)-Neumann problem Autor Sahutoglu, Sonmez, Zeytuncu, Yunus E

“…{\partial}\)-Neumann operator \(N_1\) is compact on \(L^2_{(0,1)}(\Omega)\) then the embedding operator \(\mathcal{J}:Dom(\overline{\partial})\cap Dom(\overline{\partial…”
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Sobolev Inequalities and the ∂¯-Neumann Operator Autor Haslinger, Friedrich

“…We study a complex-valued version of the Sobolev inequalities and its relationship to compactness of the ∂ ¯ -Neumann operator. For this purpose we use an…”
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On some spectral properties of the weighted \(\overline\partial\)-Neumann problem Autor Berger, Franz, Haslinger, Friedrich

“…We derive a necessary condition for compactness of the weighted \(\overline\partial\)-Neumann operator on the space…”
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Essential spectra of tensor product Hilbert complexes, and the \(\overline\partial\)-Neumann problem on product manifolds Autor Berger, Franz

“… Applications are given for the \(\overline\partial\)-Neumann problem on the product of two or more Hermitian manifolds, especially regarding (non…”
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On noncompactness of the \(\overline\partial\)-Neumann problem on pseudoconvex domains in \(\mathbb{C}^3\) Autor Dall'Ara, Gian Maria

“…\) whose boundary contains a \(q\)-dimensional complex manifold \(M\) necessarily has a noncompact \(\overline\partial\)-Neumann operator \(N_q\) (\(1\leq q\leq n-1…”
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Observations regarding compactness in the \(\overline{\partial}\)-Neumann problem Autor Çelik, Mehmet, Straube, Emil J

“…We show that compactness of the \(\overline{\partial}\)-Neumann operator is independent of the metric, and we give a new proof of this independence for subellipticity…”
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Compactness estimates for the \(\overline \partial \) - Neumann problem in weighted \(L^2\) - spaces Autor Gansberger, Klaus, Haslinger, Friedrich

“…In this paper we discuss compactness estimates for the \(\bar \partial \)-Neumann problem in the setting of weighted \(L^2\)-spaces on \(\mathbb{C}^n…”
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(\overline{\partial}\)-Neumann Problem in the Sobolev Topology Autor Fontana, Luigi, Krantz, Steven G, Peloso, Marco M

“…We study the \(\overline{\partial}\)-Neumann problem using the Sobolev space inner product…”
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Existence theorems for the dbar equation and Sobolev estimates on $ q $-convex domains Autor Adam, Haroun Doud Soliman, Adam, Khalid Ibrahim, Saber, Sayed, Farid, Ghulam

“…} $ boundary in an $ n $-dimentionsl $ \operatorname{Stein\, manifold} $ $ \operatorname{X} $. Consequently, the compactness of the $ \overline\partial $-Neumann operator $ \operatorname{N} $ on $ { M…”
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Geometric analysis of several complex variables and related topics : Marrakesh Workshop, May 10-14, 2010, Marrakesh, Morocco Autor Barkatou, Y., Berhanu, Shiferaw, Meziani, A., Meziani, R., Mir, N., Workshop on Geometric Analysis of Several Complex Variables and Related Topics

“… of the automorphism groups of CR manifolds. The other articles feature original research in major topics of analysis dealing with analytic and Gevrey regularity, existence of distributional traces, the $\bar\partial…”
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A twisted ∂¯f-Neumann problem and Toeplitz n-tuples from singularity theory Autor Wen, Hao, Fan, Huijun

“…A twisted ∂ ¯ f -Neumann problem associated to a singularity ( O n , f ) is established. By relating it to the Koszul complex for Toeplitz n -tuples…”
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Geometry and topology of submanifolds and currents : 2013 Midwest Geometry Conference (MGC XIX), October 19, 2013, Oklahoma State University, Stillwater, OK : 2012 Midwest Geometry Conference (MGC XVIII), May 12-13, 2012, University of Oklahoma, Norman, OK Autor Midwest Geometry Conference, Li, Weiping, Wei, Shihshu Walter

“… On the topology side, topics include Plateau problems, Voevodsky's motivic cohomology, Reidemeister zeta function and systolic inequality, and freedom in 2- and 3-dimensional manifolds…”
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Higher dimensional worm domains Autor Calamai, Simone, Dall'Ara, Gian Maria

“…). Some open questions in the regularity theory of the ∂¯$\overline{\partial }$‐Neumann problem are discussed in the setting of these domains…”
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Regular types and order of vanishing along a set of non-integrable vector fields Autor Huang, Xiaojun, Wanke Yin

“…}\)-Neumann problem, regular types are important as their finiteness gives the global regularity up to the boundary of solutions of Kohn's \(\overline{\partial}\)-Neumann problem…”
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The Neumann problem for the \(k\)-Cauchy-Fueter complexes over \(k\)-pseudoconvex domains in \(\mathbb{R}^4\) and the \(L^2\) estimate Autor Wang, Wei

“… The method of solving the \(\overline{\partial}\)-Neumann problem in the theory of several complex variables is applied to this Neumann problem…”
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Higher dimensional worm domains Autor Calamai, Simone, Dall'Ara, Gian Maria

“…). Some open questions in the regularity theory of the \(\overline\partial\)-Neumann problem are discussed in the setting of these domains…”
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