Results 31 to 40 of about 2,806 (244)
Mathematics, 2022 In this paper, we study a singular Sturm–Liouville problem with an eigenparameter-dependent boundary condition and transmission conditions at two interior points.
Jinming Cai, Zhaowen Zheng, Kun Li
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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On the product of the self-adjoint operators
International Journal of Mathematics and Mathematical Sciences, 1982 A proof is given for the fact that the product of two self-adjoint operators, one of which is also positive, is again self-adjoint if and only if the product is normal. This theorem applies, in particular, if one operator is an orthogonal projection.
Wulf Rehder
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Stability Bounds for the Generalized Kadanoff‐Baym Ansatz in the Holstein Dimer
Contributions to Plasma Physics, EarlyView.ABSTRACT Predicting real‐time dynamics in correlated systems is demanding: exact two‐time Green's function methods are accurate but often too costly, while the Generalized Kadanoff‐Baym Ansatz (GKBA) offers time‐linear propagation at the risk of uncontrolled behavior. We examine when and why GKBA fails in a minimal yet informative setting, the Holstein
Oscar Moreno Segura +2 more
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Spectral enclosures for non-self-adjoint extensions of symmetric operators [PDF]
Journal of Functional Analysis, 2017 The spectral properties of non-self-adjoint extensions A [ B ] of a symmetric operator in a Hilbert space are studied with the help of ordinary and quasi boundary triples and the corresponding Weyl functions.
J. Behrndt +3 more
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Efficient First‐Principles Inverse Design of Nanolasers
Laser &Photonics Reviews, EarlyView.This article introduces a first‐principles inverse‐design framework for nanolasers that directly incorporates nonlinear lasing physics. By unifying steady‐state ab‐initio laser theory (SALT) with topology optimization, it reveals how spatial hole burning, gain saturation, and cavity‐emitter coupling shape laser performance, enabling efficient discovery
Beñat Martinez de Aguirre Jokisch +5 more
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Zero-product preserving additive maps on symmetric operator spaces and self-adjoint operator spaces
, 2005 In this note, we characterize the additive maps on the space of symmetric operators and the space of self-adjoint operators which preserve zero-products in both directions, and the additive maps on the space of self-adjoint operators which preserve ...
J. Hou, Liankuo Zhao
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Mathematische Nachrichten, EarlyView.Abstract This paper is devoted to the approximation of two‐ and three‐dimensional Dirac operators HV∼δΣ$H_{\widetilde{V} \delta _\Sigma }$ with combinations of electrostatic and Lorentz scalar δ$\delta$‐shell interactions in the norm resolvent sense. Relying on results from Behrndt, Holzmann, and Stelzer‐Landauer [Math. Nachr.
Jussi Behrndt +2 more
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti +2 more
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Quasi-spectral decomposition of the heat potential
Electronic Journal of Differential Equations, 2016 In this article, by multiplying of the unitary operator $$ (Pf)(x,t)=f(x,T-t),\quad 0\leq t\leq T, $$ the heat potential turns into a self-adjoint operator.
Tynysbek Sh. Kal'menov +1 more
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