Results 41 to 50 of about 176 (89)
A weighted W2,p-a priori bound for a class of elliptic operators
, 2013 We prove a weighted W2,p-a priori bound, p>1, for a class of uniformly elliptic second-order differential operators on unbounded domains. We deduce a uniqueness and existence result for the solution of the related Dirichlet problem.MSC: 35J25, 35B45 ...
S. Monsurrò, M. Transirico
semanticscholar +1 more source
On an initial‐boundary value problem for the nonlinear Schrödinger equation
International Journal of Mathematics and Mathematical Sciences, Volume 2, Issue 3, Page 503-522, 1979., 1979 We study an initial‐boundary value problem for the nonlinear Schrödinger equation, a simple mathematical model for the interaction between electromagnetic waves and a plasma layer. We prove a global existence and uniqueness theorem and establish a Galerkin method for solving numerically the problem.
Herbert Gajewski
wiley +1 more source
An upper bound for the least energy of a sign-changing solution to a zero mass problem
Advanced Nonlinear StudiesWe give an upper bound for the least possible energy of a sign-changing solution to the nonlinear scalar field equation −Δu=f(u),u∈D1,2(RN), $-{\Delta}u=f\left(u\right), u\in {D}^{1,2}\left({\mathrm{R}}^{N}\right),$ where N ≥ 5 and the nonlinearity f is
Clapp Mónica +2 more
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Multiplicity of normalized solutions for nonlinear Choquard equations
Advanced Nonlinear StudiesIn this paper, we consider the following nonlinear Choquard equation with prescribed L 2-norm: −Δu+λu=Iα∗F(u)f(u) in RN,∫RN|u|2dx=a>0,u∈H1(RN), $\begin{cases}-{\Delta}u+\lambda u=\left({I}_{\alpha }\ast F\left(u\right)\right)f\left(u\right) \,\text{in}\,
Long Chun-Fei +3 more
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Global in time well-posedness of a three-dimensional periodic regularized Boussinesq system
Demonstratio MathematicaGlobal in time weak solution to a regularized periodic three-dimensional Boussinesq system is proved to exist in energy spaces. This solution depends continuously on the initial data. In particular, it is unique.
Almutairi Shahah
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Solitons in gauge theories: Existence and dependence on the charge
Advances in Nonlinear Analysis, 2014 In this paper we review recent results on the existence of non-topological solitons in classical relativistic nonlinear field theories. We follow the Coleman approach, which is based on the existence of two conservation laws, energy and charge.
Bonanno Claudio
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Global Schauder estimates for kinetic Kolmogorov-Fokker-Planck equations
Advanced Nonlinear StudiesWe present global Schauder type estimates in all variables and unique solvability results in kinetic Hölder spaces for kinetic Kolmogorov-Fokker-Planck (KFP) equations.
Dong Hongjie, Yastrzhembskiy Timur
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Advanced Nonlinear Studies, 2022 The chemotaxis–Stokes system nt+u⋅∇n=∇⋅(D(n)∇n)−∇⋅(nS(x,n,c)⋅∇c),ct+u⋅∇c=Δc−nc,ut=Δu+∇P+n∇Φ,∇⋅u=0,\left\{\begin{array}{l}{n}_{t}+u\cdot \nabla n=\nabla \cdot (D\left(n)\nabla n)-\nabla \cdot (nS\left(x,n,c)\cdot \nabla c),\\ {c}_{t}+u\cdot \nabla c ...
Winkler Michael
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Advances in Nonlinear AnalysisThis paper studies the two-dimensional Patlak–Keller–Segel–Navier–Stokes (PKS–NS) system in R2 ${\mathbb{R}}^{2}$ near the Couette flow (Ay, 0). Using the Green’s function method, we first derive enhanced dissipation estimates for the linearized system ...
Wang Gaofeng, Wang Weike, Wu Tianfang
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Analysis and Geometry in Metric SpacesWe consider degenerate Kolmogorov-Fokker-Planck operators ℒu=∑i,j=1qaij(x,t)uxixj+∑k,j=1Nbjkxkuxj−ut,{\mathcal{ {\mathcal L} }}u=\mathop{\sum }\limits_{i,j=1}^{q}{a}_{ij}\left(x,t){u}_{{x}_{i}{x}_{j}}+\mathop{\sum }\limits_{k,j=1}^{N}{b}_{jk}{x}_{k}{u}_{{
Biagi Stefano, Bramanti Marco
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