R
Roman Shterenberg
Researcher at University of Alabama at Birmingham
Publications - 78
Citations - 853
Roman Shterenberg is an academic researcher from University of Alabama at Birmingham. The author has contributed to research in topics: Operator (physics) & Eigenfunction. The author has an hindex of 14, co-authored 75 publications receiving 752 citations. Previous affiliations of Roman Shterenberg include Saint Petersburg State University & University of Wisconsin-Madison.
Papers
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Journal ArticleDOI
Blow up and regularity for fractal Burgers equation
TL;DR: In this paper, the authors studied the existence, uniqueness, blow up and regularity properties of solutions of the Burgers equation with fractional dissipation, and proved the existence of the finite time blow up for the power of Laplacian α < 1/2, and global existence as well as analyticity of solution for α ≥ 1 2.
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On the Inverse Resonance Problem for Schrödinger Operators
TL;DR: In this paper, the authors consider Schrodinger operators on [0, ∞] with compactly supported, possibly complex-valued potentials in L 1 [0 and ∞], and show conditional stability for finite data.
Book ChapterDOI
A Survey on the Krein–von Neumann Extension, the Corresponding Abstract Buckling Problem, and Weyl-type Spectral Asymptotics for Perturbed Krein Laplacians in Nonsmooth Domains
TL;DR: In this paper, the authors proved the unitary equivalence of the inverse of the Krein-von Neumann extension (on the orthogonal complement of its kernel) of a densely defined, closed, strictly positive operator, ≥ e ℋ for some e > 0 in a Hilbert space 210B to an abstract buckling operator.
Journal ArticleDOI
Complete asymptotic expansion of the integrated density of states of multidimensional almost-periodic Schrödinger operators
TL;DR: In this paper, a complete asymptotic expansion of the integrated density of states of operators of the form (H = (-\Delta)^w+ B} in \({\mathbb{R}^d}\) was obtained for magnetic Schrodinger operators with either smooth periodic or generic almost-periodic coefficients.
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The krein-von neumann extension and its connection to an abstract buckling problem
TL;DR: In this article, the authors proved the unitary equivalence of the inverse of the Krein-von Neumann extension (on the orthogonal complement of its kernel) of a densely defined, closed, strictly positive operator, S � "IH for some " > 0 in a Hilbert space H to an abstract buckling problem operator.