Results 51 to 60 of about 1,746 (107)
Demonstratio MathematicaThis article is devoted to the study of the existence and nonexistence of normalized solutions for the following biharmonic Schrödinger equation with combined power-type ...
Liu Xiang, Huang Na, Lei Chunyu
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LONG TIME BEHAVIOR OF THE SOLUTIONS OF NLW ON THE $d$-DIMENSIONAL TORUS
Forum of Mathematics, Sigma, 2020 We consider the nonlinear wave equation (NLW) on the $d$-dimensional torus $\mathbb{T}^{d}$ with a smooth nonlinearity of order at least 2 at the origin. We prove that, for almost any mass, small and smooth solutions of high Sobolev indices are stable up
JOACKIM BERNIER +2 more
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Blow-up solutions to the Hartree-Fock type Schrödinger equation with the critical rotational speed
Advances in Nonlinear AnalysisIn this article, we are concerned with the existence, non-existence, and blow-up behavior of normalized ground state solutions for the mass critical Hartree-Fock type Schrödinger equation with rotation i∂tu=−Δu+2V(x)u+2ΩLzu−λu−bu∫RN∣u(y)∣2∣x−y∣2dy,(t,x ...
Tu Yuanyuan, Wang Jun
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Blow-up of solutions to cubic nonlinear Schrödinger equations with defect: The radial case
Advances in Nonlinear Analysis, 2017 In this article we investigate both numerically and theoretically the influence of a defect on the blow-up of radial solutions to a cubic NLS equation in dimension 2.
Goubet Olivier, Hamraoui Emna
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Alexandria Engineering Journal, 2020 The present paper employs the space-time fractional nonlinear Bogoyavlenskii equation and Schrodinger equation. We perform a new method to take some new solitary wave phenomena for each equation.
Md Nur Alam, Cemil Tunç
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Existence of a Positive Solution to a Nonlinear Scalar Field Equation with Zero Mass at Infinity
Advanced Nonlinear Studies, 2018 We establish the existence of a positive solution to the ...
Clapp Mónica, Maia Liliane A.
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High-energy solutions for coupled Schrödinger systems with critical growth and lack of compactness
Advances in Nonlinear AnalysisThis article deals with the existence of high-energy positive solutions for the following coupled Schrödinger system with critical exponent: −Δu+V1(x)u=μ1u3+βuv2,x∈Ω,−Δv+V2(x)v=βu2v+μ2v3,x∈Ω,u,v∈D01,2(Ω)\left\{\begin{array}{l}-\Delta u+{V}_{1}\left(x)u={\
Guan Wen, Wang Da-Bin, Xie Huafei
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Dispersive estimates and NLS on product manifolds
, 2010 We prove a general dispersive estimate for a Schroedinger type equation on a product manifold, under the assumption that the equation restricted to each factor satisfies suitable dispersive estimates.
Pierfelice, Vittoria
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A note on coupled nonlinear Schrödinger equations
Advances in Nonlinear Analysis, 2014 We investigate the initial value problem for some coupled nonlinear Schrödinger equations in two space dimensions with exponential growth. We prove global well-posedness and scattering in the defocusing case. In the focusing sign, existence of non-global
Saanouni Tarek
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On generating functions in additive number theory, II: lower-order terms and applications to PDEs. [PDF]
Math Ann, 2021 Brandes J +4 more
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