Results 51 to 60 of about 5,186,045 (202)
Dirichlet Forms Constructed from Annihilation Operators on Bernoulli Functionals
Advances in Mathematical Physics, 2017 The annihilation operators on Bernoulli functionals (Bernoulli annihilators, for short) and their adjoint operators satisfy a canonical anticommutation relation (CAR) in equal-time.
Caishi Wang, Beiping Wang
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International Journal of Analysis and Applications, 2022 In this paper, we shall extend a fundamental variational inequality which is developed by Simader in W1,p to a variable exponent Sobolev space W1,p(·).
Junichi Aramaki
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Advanced Materials, EarlyView.Residual magnetization induces pronounced mechanical anisotropy in ultra‐soft magnetorheological elastomers, shaping deformation and actuation even without external magnetic fields. This study introduces a computational‐experimental framework integrating magneto‐mechanical coupling into topology optimization for designing soft magnetic actuators with ...
Carlos Perez‐Garcia +3 more
wiley +1 more source
Electric‐Current‐Assisted Nucleation of Zero‐Field Hopfion Rings
Advanced Materials, EarlyView.This work reports a novel and efficient nucleation protocol for 3D localized topological magnetic solitons‐hopfion rings in chiral magnets using pulsed electric currents. By using Lorentz transmission electron microscopy and topological analysis, we report characteristic features and extraordinary stability of hopfion rings in zero or inverted external
Xiaowen Chen +12 more
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Weak Product Spaces of Dirichlet Series [PDF]
Integral Equations and Operator Theory, 2016 Let $\mathscr{H}^2$ denote the space of ordinary Dirichlet series with square summable coefficients, and let $\mathscr{H}^2_0$ denote its subspace consisting of series vanishing at $+\infty$. We investigate the weak product spaces $\mathscr{H}^2\odot\mathscr{H}^2$ and $\mathscr{H}^2_0\odot\mathscr{H}^2_0$, finding that several pertinent problems are ...
Brevig, Ole Fredrik +1 more
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Advanced Intelligent Discovery, EarlyView.We propose a residual‐based adversarial‐gradient moving sample (RAMS) method for scientific machine learning that treats samples as trainable variables and updates them to maximize the physics residual, thereby effectively concentrating samples in inadequately learned regions.
Weihang Ouyang +4 more
wiley +1 more source
A boundary value problem in the hyperbolic space
Abstract and Applied Analysis, 1999 We consider a nonlinear problem for the mean curvature equation in the hyperbolic space with a Dirichlet boundary data g. We find solutions in a Sobolev space under appropriate conditions on g.
P. Amster, G. Keilhauer, M. C. Mariani
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Hadamard Multipliers on Weighted Dirichlet Spaces [PDF]
Integral Equations and Operator Theory, 2019 The Hadamard product of two power series is obtained by multiplying them coefficientwise. In this paper we characterize those power series that act as Hadamard multipliers on all weighted Dirichlet spaces on the disk with superharmonic weights, and we obtain sharp estimates on the corresponding multiplier norms. Applications include an analogue of Fej
Javad Mashreghi, Thomas Ransford
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Electronic Journal of Differential Equations, 2004 We prove that a space- and time-dependent kernel occurring in a hyperbolic integro-differential equation in three space dimensions can be uniquely reconstructed from the restriction of the Dirichlet-to-Neumann operator of the equation into a set of ...
Jaan Janno
doaj
The bounded variation capacity and Sobolev-type inequalities on Dirichlet spaces
Advances in Nonlinear AnalysisIn this article, we consider the bounded variation capacity (BV capacity) and characterize the Sobolev-type inequalities related to BV functions in a general framework of strictly local Dirichlet spaces with a doubling measure via the BV capacity.
Xie Xiangyun +3 more
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