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Inverse Problem for Sturm–Liouville Operators with Coulomb Potential which have Discontinuity Conditions Inside an Interval
Springer Science and Business Media LLC - Tập 13 - Trang 29-46 - 2009
Nilifer Topsakal, Rauf Amirov
In this study, properties of spectral characteristic are studied for Sturm–Liouville operators with Coulomb potential which have discontinuity conditions inside a finite interval. Also Weyl function for this problem under consideration has been defined and uniqueness theorems for solution of inverse problem according to this function have been proved.
An Almost Sure Ergodic Theorem for Quasistatic Dynamical Systems
Springer Science and Business Media LLC - Tập 19 - Trang 1-18 - 2016
Mikko Stenlund
We prove an almost sure ergodic theorem for abstract quasistatic dynamical systems, as an attempt of taking steps toward an ergodic theory of such systems. The result at issue is meant to serve as a working counterpart of Birkhoff’s ergodic theorem which fails in the quasistatic setup. It is formulated so that the conditions, which essentially require sufficiently good memory-loss properties, coul...... hiện toàn bộ
A Comparison of Two Quantum Distances
Springer Science and Business Media LLC - - 2023
Jens Kaad, David Kyed
Contents of Volume 7 (2004)
Springer Science and Business Media LLC - Tập 7 - Trang 351-352 - 2004
Multi-Center Vector Field Methods for Wave Equations
Springer Science and Business Media LLC - Tập 19 - Trang 1-36 - 2016
Avy Soffer, Jianguo Xiao
We develop the method of vector-fields to further study Dispersive Wave Equations. Radial vector fields are used to get a-priori estimates such as the Morawetz estimate on solutions of Dispersive Wave Equations. A key to such estimates is the repulsiveness or nontrapping conditions on the flow corresponding to the wave equation. Thus this method is limited to potential perturbations which are repu...... hiện toàn bộ
The Resolvent of the Nelson Hamiltonian Improves Positivity
Springer Science and Business Media LLC - Tập 24 - Trang 1-17 - 2021
Jonas Lampart
We give a new proof that the resolvent of the renormalised Nelson Hamiltonian at fixed total momentum P improves positivity in the (momentum) Fock-representation, for every P. The argument is based on an explicit representation of the renormalised operator and its domain using interior boundary conditions, which allows us to avoid the intermediate steps of regularisation and renormalisation used i...... hiện toàn bộ
Editorial
Springer Science and Business Media LLC - Tập 17 - Trang 1-1 - 2014
Lagrangian Curves on Spectral Curves of Monopoles
Springer Science and Business Media LLC - Tập 13 - Trang 255-273 - 2010
Brendan Guilfoyle, Madeeha Khalid, José J. Ramón Marí
We study Lagrangian points on smooth holomorphic curves in ${\rm T}{\mathbb P}^1$ equipped with a natural neutral Kähler structure, and prove that they must form real curves. By virtue of the identification of ${\rm T}{\mathbb ...... hiện toàn bộ
Tính chuyển giao cho siêu đường trơn holomorphic Dịch bởi AI
Springer Science and Business Media LLC - Tập 17 - Trang 341-367 - 2014
Josua Groeger
Các siêu đường trơn holomorphic được thúc đẩy bởi siêu hình học như một sự tổng quát tự nhiên của các đường trơn holomorphic. Trong việc định nghĩa như một bộ gồm một đường trơn holomorphic và một số phần, chúng tôi xem xét một dạng yếu hơn của các phương trình xác định. Điều này có nghĩa là, khi làm nhiễu chúng để phụ thuộc vào một kết nối, toán tử tuyến tính tương ứng thường là surjective. Nhờ k...... hiện toàn bộ
#siêu đường trơn holomorphic #siêu hình học #không gian moduli #toán tử tuyến tính #đa tạp mịn #tính chặt chẽ
Harnack Inequalities for Simple Heat Equations on Riemannian Manifolds
Springer Science and Business Media LLC - Tập 22 - Trang 1-17 - 2019
Li Ma, Yang Liu
In this paper, we consider Harnack inequalities (the gradient estimates) of positive solutions for two different heat equations via the use of the maximum principle. In the first part, we obtain the gradient estimate for positive solutions to the following nonlinear heat equation problem ...... hiện toàn bộ
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