EuDML | Browse

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Displaying 161 – 180 of 364

Mesures limites pour l’équation de Helmholtz dans le cas non captif

Jean-François Bony (2009)

Annales de la faculté des sciences de Toulouse Mathématiques

Cet article est consacré à l’étude des mesures limites associées à la solution de l’équation de Helmholtz avec un terme source se concentrant en un point. Le potentiel est supposé $C^{\infty}$ et l’opérateur non-captif. La solution de l’équation de Schrödinger semi-classique s’écrit alors micro-localement comme somme finie de distributions lagrangiennes. Sous une hypothèse géométrique, qui généralise l’hypothèse du viriel, on en déduit que la mesure limite existe et qu’elle vérifie des propriétés standard....

Metodi variazionali e topologici nello studio delle equazioni di Schrödinger nonlineari agli stati stazionari

Silvia Cingolani (2001)

Bollettino dell'Unione Matematica Italiana

In the present paper we survey some recents results concerning existence of semiclassical standing waves solutions for nonlinear Schrödinger equations. Furthermore, from Maxwell's equations we derive a nonlinear Schrödinger equation which represents a model of propagation of an electromagnetic field in optical waveguides.

Modified Crank-Nicolson difference schemes for nonlocal boundary value problem for the Schrödinger equation.

Ashyralyev, Allaberen, Sirma, Ali (2009)

Discrete Dynamics in Nature and Society

Modified wave operators for nonlinear Schrödinger equations in one and two dimensions.

Hayashi, Nakao, Naumkin, Pavel I., Shimomura, Akihiro, Tonegawa, Satoshi (2004)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Modified wave operators for the derivative nonlinear Schrödinger equation.

Nakao Hayashi, Tohru Ozawa (1994)

Mathematische Annalen

Modulational instability stabilization via complex Whitham deformations: Nonlinear Schrödinger equation

Р.Ф. Бикбаев (1994)

Zapiski naucnych seminarov POMI

Multi solitary waves for nonlinear Schrödinger equations

Yvan Martel, Frank Merle (2006)

Annales de l'I.H.P. Analyse non linéaire

Multi-bump solutions for nonlinear Schrödinger equations with electromagnetic fields

Huirong Pi, Chunhua Wang (2013)

ESAIM: Control, Optimisation and Calculus of Variations

In this paper, we are concerned with the existence of multi-bump solutions for a nonlinear Schrödinger equations with electromagnetic fields. We prove under some suitable conditions that for any positive integer m, there exists ε(m) > 0 such that, for 0 < ε < ε(m), the problem has an m-bump complex-valued solution. As a result, when ε → 0, the equation has more and more multi-bump complex-valued solutions.

Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations

Nicolas Burq, Patrick Gérard, Nikolay Tzvetkov (2005)

Annales scientifiques de l'École Normale Supérieure

Multi-peak solutions for magnetic NLS equations without non-degeneracy conditions

Silvia Cingolani, Louis Jeanjean, Simone Secchi (2009)

ESAIM: Control, Optimisation and Calculus of Variations

In this work we consider the magnetic NLS equation ${(\frac{ℏ}{i} \nabla - A (x))}^{2} u + V (x) u - {f (| u |}^{2}) u = 0 in ℝ^{N} (0.1)$ where $N \geq 3$ , $A : ℝ^{N} \to ℝ^{N}$ is a magnetic potential, possibly unbounded, $V : ℝ^{N} \to ℝ$ is a multi-well electric potential, which can vanish somewhere, $f$ is a subcritical nonlinear term. We prove the existence of a semiclassical multi-peak solution $u : ℝ^{N} \to ℂ$ to (0.1), under conditions on the nonlinearity which are nearly optimal.

Multi-peak solutions for magnetic NLS equations without non-degeneracy conditions

Silvia Cingolani, Louis Jeanjean, Simone Secchi (2008)

ESAIM: Control, Optimisation and Calculus of Variations

In this work we consider the magnetic NLS equation ${(\frac{ℏ}{i} \nabla - A (x))}^{2} u + V (x) u - {f (| u |}^{2}) u = 0 in ℝ^{N} (0.1)$ where $N \geq 3$ , $A : ℝ^{N} \to ℝ^{N}$ is a magnetic potential, possibly unbounded, $V : ℝ^{N} \to ℝ$ is a multi-well electric potential, which can vanish somewhere, f is a subcritical nonlinear term. We prove the existence of a semiclassical multi-peak solution $u : ℝ^{N} \to ℂ$ to (0.1), under conditions on the nonlinearity which are nearly optimal.

Two nontrivial solutions are obtained for nonhomogeneous semilinear Schrödinger equations.

Currently displaying 161 – 180 of 364

Previous Page 9 Next

Displaying 161 – 180 of 364

Mesures limites pour l’équation de Helmholtz dans le cas non captif

Metodi variazionali e topologici nello studio delle equazioni di Schrödinger nonlineari agli stati stazionari

Modified Crank-Nicolson difference schemes for nonlocal boundary value problem for the Schrödinger equation.

Modified wave operators for nonlinear Schrödinger equations in one and two dimensions.

Modified wave operators for the derivative nonlinear Schrödinger equation.

Modulational instability stabilization via complex Whitham deformations: Nonlinear Schrödinger equation

Multi solitary waves for nonlinear Schrödinger equations

Multi-bump solutions for nonlinear Schrödinger equations with electromagnetic fields

Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations

Multi-peak solutions for magnetic NLS equations without non-degeneracy conditions

Multi-peak solutions for magnetic NLS equations without non-degeneracy conditions

Multiple semiclassical solutions of the Schrödinger equation involving a critical Sobolev exponent.

Multiple semiclassical states for singular magnetic nonlinear Schrödinger equations.

Multiple solutions of a Schrödinger type semilinear equation

Multiple solutions to some singular nonlinear Schrödinger equations.

Multiplicity of solutions for a class of quasilinear elliptic equations with concave and convex terms in $ℝ$ .

Multiplicity of symmetric solutions for a nonlinear eigenvalue problem in $ℝ^{n}$ .

Multi-symplectic Fourier pseudospectral method for the nonlinear Schrödinger equation.

Non existence of standing waves for hyperbolic Davey-Stewartson systems

Nonexistence of minimal blow-up solutions of equations $i u_{t} = - Δ u - k (x) {| u |}^{4 / N} u$ in $ℝ^{N}$

Currently displaying 161 – 180 of 364