Results 41 to 50 of about 8,399,495 (263)
On the weak solutions of the forward problem in EEG [PDF]
Journal of Applied Mathematics, 2003 The process underlying the generation of the EEG signals can be described as a set of current sources within the brain. The potential distribution produced by these sources can be measured on the scalp and inside the brain by means of an EEG recorder.
Troparevsky, M. I., Rubio, D.
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Weak-very weak uniqueness to the time-dependent Ginzburg–Landau model for superconductivity in Rn
Results in Applied Mathematics, 2021 In this paper, we consider the n(n≥3)dimensional time-dependent Ginzburg–Landau model for superconductivity. First, we obtain a global existence of very weak solutions. Finally we prove a result of weak-very weak uniqueness.
Hongjun Gao, Jishan Fan, Gen Nakamura
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Existence and uniqueness of weak solutions for a class of fractional superdiffusion equations
Advances in Differential Equations, 2017 In this paper, we consider the existence and uniqueness of weak solutions for a class of fractional superdiffusion equations with initial-boundary conditions.
Meilan Qiu, Liquan Mei, Ganshan Yang
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Uniqueness of Weak Solutions to an Electrohydrodynamics Model [PDF]
Abstract and Applied Analysis, 2012 This paper studies uniqueness of weak solutions to an electrohydrodynamics model in ℝd (d = 2, 3). When d = 2, we prove a uniqueness without any condition on the velocity. For d = 3, we prove a weak‐strong uniqueness result with a condition on the vorticity in the homogeneous Besov space.
Zhou, Yong, Fan, Jishan
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A new old solution for weak tournaments [PDF]
Social Choice and Welfare, 2011 This note uncovers new properties of the von Neumann-Morgenstern solution in weak tournaments and majoritarian games. We propose a new procedure for the construction of choice sets from weak tournaments, based on dynamic stability criteria. The idea is to analyze dynamic versions of the tournament game introduced by Laffond, Laslier and Le Breton (1993)
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An explicit solution to the weak Schottky problem
Algebraic Geometry, 2021 Algebraic Geometry, to ...
Farkas, H. M. +2 more
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Weak solutions to the time-fractional g-Bénard equations
Boundary Value Problems, 2022 The Bénard problem consists in a system that couples the well-known Navier–Stokes equations and an advection-diffusion equation. In thin varying domains this leads to the g-Bénard problem, which turns out to be the classical Bénard problem when g is ...
Khadija Aayadi +3 more
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On viscosity and weak solutions for non-homogeneous p-Laplace equations [PDF]
, 2016 In this manuscript, we study the relation between viscosity and weak solutions for non-homogeneous p-Laplace equations with lower-order term depending on x, u and ∇ u {\nabla u} .
María Medina, Pablo Ochoa
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Dimensionalities of weak solutions in hydrogenic systems [PDF]
Journal of Physics A: Mathematical and General, 2006 A close inspection on the 3D hydrogen atom Hamiltonian revealed formal eigenvectors often discarded in the literature. Although not in its domain, such eigenvectors belong to the Hilbert space, and so their time evolution is well defined. They are then related to the 1D and 2D hydrogen atoms and it is numerically found that they have continuous ...
Alejandro López-Castillo +1 more
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On a class of superlinear nonlocal fractional problems without Ambrosetti–Rabinowitz type conditions
Electronic Journal of Qualitative Theory of Differential Equations, 2019 In this note, we deal with the existence of infinitely many solutions for a problem driven by nonlocal integro-differential operators with homogeneous Dirichlet boundary conditions \begin{equation*} \begin{cases} -\mathcal{L}_{K}u=\lambda f(x,u), &
Qing-Mei Zhou
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