Results 21 to 30 of about 1,254 (112)
Annales De L Institut Henri Poincare-probabilites Et Statistiques, 2023 In this paper, we consider the noise effects on a class of stochastic evolution equations including the stochastic Camassa– Holm equations with or without rotation.
Hao Tang, Anita S Yang
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Nonautonomous Dynamical Systems, 2023 The integro-differential equation of heat conduction with the time-convolution integral on the right side is considered. The direct problem is the initial-boundary problem for this integro-differential equation.
Durdiev Durdimurod Kalandarovich +1 more
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Advanced Nonlinear Studies, 2022 This article studies point concentration phenomena of nonlinear Schrödinger equations with magnetic potentials and constant electric potentials. The existing results show that a common magnetic field has no effect on the locations of point concentrations,
Wang Liping, Zhao Chunyi
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Global well-posedness of the full compressible Hall-MHD equations
Advances in Nonlinear Analysis, 2021 This paper deals with a Cauchy problem of the full compressible Hall-magnetohydrodynamic flows. We establish the existence and uniqueness of global solution, provided that the initial energy is suitably small but the initial temperature allows large ...
Tao Qiang, Zhu Canze
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Metrics with prescribed horizontal bundle on spaces of curve
, 2015 We study metrics on the shape space of curves that induce a prescribed splitting of the tangent bundle. More specifically, we consider reparametrization invariant metrics $G$ on the space $\operatorname{Imm}(S^1,\mathbb R^2)$ of parametrized regular ...
Bauer, Martin, Harms, Philipp
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L^2-concentration for a coupled nonlinear Schrödinger system
Differential Equations & Applications, 2019 In this work we adapt Bourgain’s ideas in [?] to a coupled system and we prove the L2 concentration of blow-up solutions for two-coupled nonlinear Schrödinger equations at critical dimension. Mathematics subject classification (2010): 35A01, 35Q55.
X. Carvajal, P. Gamboa
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Global solutions to a class of nonlinear damped wave operator equations
Boundary Value Problems, 2012 This study investigates the existence of global solutions to a class of nonlinear damped wave operator equations. Dividing the differential operator into two parts, variational and non-variational structure, we obtain the existence, uniformly bounded and
Z. Pan, Zhilin Pu, T. Ma
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Global well-posedness on the derivative nonlinear Schr\"odinger equation revisited
, 2014 As a continuation of the previous work \cite{Wu}, we consider the global well-posedness for the derivative nonlinear Schr\"odinger equation. We prove that it is globally well-posed in energy space, provided that the initial data $u_0\in H^1(\mathbb{R ...
Wu, Yifei
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The existence of positive solutions to an elliptic system with nonlinear boundary conditions
Boundary Value Problems, 2013 In this paper, we consider the following system: {Δu=u,Δv=v,x∈Ω,∂u∂ν=f(x,v),∂v∂ν=g(x,u),x∈∂Ω, where Ω is a bounded domain in RN (N≥3) with smooth boundary, ∂∂ν is the outer normal derivative and f,g:∂Ω×R→R+ are positive and continuous functions.
Chunhua Wang, Jing Yang
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Very large solutions for the fractional Laplacian: Towards a fractional Keller–Osserman condition
Advances in Nonlinear Analysis, 2017 We look for solutions of (-△)su+f(u)=0{{\left(-\triangle\right)}^{s}u+f(u)=0} in a bounded smooth domain Ω, s∈(0,1){s\in(0,1)}, with a strong singularity at the boundary. In particular, we are interested in solutions which are L1(Ω){L^{1}(\Omega)} and
Abatangelo Nicola
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