Fourier mode dynamics for the nonlinear Schroedinger equation in one-dimensional bounded domains
, 2011 We analyze the 1D focusing nonlinear Schr\"{o}dinger equation in a finite interval with homogeneous Dirichlet or Neumann boundary conditions. There are two main dynamics, the collapse which is very fast and a slow cascade of Fourier modes.
C. Sulem +4 more
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Variational-hemivariational inequalities with nonhomogeneous Neumann boundary condition
Le Matematiche, 2010 The aim of this paper is the study of variational-hemivariational inequalities with nonhomogeneous Neumann boundary condition. Sufficient conditions for the existence of a whole sequence of solutions which is either unbounded or converges to zero are ...
Dumitru Motreanu, Patrick Winkert
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Fractional diffusion with Neumann boundary conditions: The logistic equation
Discrete & Continuous Dynamical Systems - B, 2013 Motivated by experimental studies on the anomalous diffusion of biological populations, we introduce a nonlocal differential operator which can be interpreted as the spectral square root of the Laplacian in bounded domains with Neumann homogeneous boundary conditions.
Montefusco E, Pellacci B, Verzini G
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Dynamics of a diffusive delayed competition and cooperation system
Open Mathematics, 2020 In this manuscript, we first consider the diffusive competition and cooperation system subject to Neumann boundary conditions without delay terms and get the conclusion that the unique positive constant equilibrium is locally asymptotically stable. Then,
Wei Zhangzhi, Zhang Xin
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Exact and Numerical Solution of the Fractional Sturm-Liouville Problem with Neumann Boundary Conditions. [PDF]
Entropy (Basel), 2022 Klimek M, Ciesielski M, Blaszczyk T.
europepmc +1 more source
A singular nonlinear boundary value problem with Neumann conditions [PDF]
Opuscula Mathematica, 2005 We study the existence of solutions for the equations \(x^{\prime\prime}\pm g(t,x)=h(t)\), \(t\in (0,1)\) with Neumann boundary conditions, where \(g:[0,1] \times (0,+\infty) \to [0,+\infty)\) and \(h:[0,1] \to \mathbb{R}\) are continuous and \(g(t,\cdot)
Julian Janus
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Nonlocal-to-Local Convergence of Cahn-Hilliard Equations: Neumann Boundary Conditions and Viscosity Terms. [PDF]
Arch Ration Mech Anal, 2021 Davoli E, Scarpa L, Trussardi L.
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Boundary stabilization and control of wave equations by means of a general multiplier method
, 2009 We describe a general multiplier method to obtain boundary stabilization of the wave equation by means of a (linear or quasi-linear) Neumann feedback. This also enables us to get Dirichlet boundary control of the wave equation.
Cornilleau, Pierre, Loheac, Jean-Pierre
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Quasilinear Equations with Neumann Boundary Conditions
Keywords: Subcritical nonlinearities, gradient elliptic systems, Neumann boundary conditions, quasilinear elliptic equations, nonsmooth critical point ...
Canino, Annamaria, Mauro, Simone
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