搜索结果: 1-11 共查到“偏微分方程 potentials”相关记录11条 . 查询时间(0.031 秒)
Consider a point mass falling vertically on an infinitely heavy
horizontal plate which oscillates periodically with period 2π in the vertical direction
and interacts with the particle by the l...
Existence, Stability, and Dynamics of Solitary Waves in Nonlinear Schroedinger Models with Periodic Potentials
Non-square lattices, Nonlinear waves Photonic lattices
2014/12/8
The focus of this dissertation is the existence, stability, and resulting dynamical evolution of localized stationary solutions to Nonlinear Schr¨odinger (NLS) equations with periodic confining potent...
Soliton dynamics of NLS with singular potentials
Nonlinear Schrodinger equation soliton dynamics singular potentials
2012/6/30
We investigate the validity of a soliton dynamics behavior in the semi-relativistic limit for the nonlinear Schr\"odinger equation in $\R^{N}, N\ge 3$, in presence of a singular external potential.
Sub-criticality of non-local Schrödinger systems with antisymmetric potentials and applications to half-harmonic maps
Harmonic maps nonlinear elliptic PDE’s regularity of solutions
2011/1/20
We consider nonlocal linear Schr¨odinger-type critical systems of the type 1/4v = v in IR. (1) where is antisymmetric potential in L2(IR, so(m)), v is a IRm valued map and
v denotes the matrix mu...
Symmetry preserving self-adjoint extensions of Schrödinger operators with singular potentials
Symmetry preserving self-adjoint extensions Schrö dinger operators singular potentials
2011/1/21
We develop a general technique for finding self-adjoint extensions of a symmetric operator that respect a given set of its symmetries. Prob-lems of this type naturally arise when considering two- and ...
Symmetry-breaking bifurcation in the nonlinear Schrödinger equation with symmetric potentials
Symmetry-breaking bifurcation nonlinear Schrö dinger equation symmetric potentials
2011/2/22
We consider the focusing (attractive) nonlinear Schr¨odinger (NLS) equation with an external,
symmetric potential which vanishes at infinity and supports a linear bound state. We prove that
the symm...
Concentration on circles for nonlinear Schrödinger-Poisson systems with unbounded potentials vanishing at infinity
Stationary nonlinear Schrö dinger-Poisson system weighted Sobolev spaces
2010/12/6
The present paper is devoted to weighted Nonlinear Schrödinger- Poisson systems with potentials possibly unbounded and vanishing at infinity. Using a purely variational approach, we prove the exi...
Schrödinger dispersive estimates for a scaling-critical class of potentials
Schrö dinger dispersive estimates scaling-critical class potentials
2010/12/14
We prove a dispersive estimate for the evolution of Schr¨odinger operators H = − + V (x) in R3. The potential should belong to the closure of Cc b (R3) with respsect to the global Kato norm. So...
Singular solutions to the heat equations with nonlinear absorption and Hardy potentials
Singular solutions heat equations nonlinear absorption Hardy potentials
2010/12/10
We study the existence and nonexistence of singular solutions to the equation ut−u−
|x|2 u + |x| u|u|p−1 = 0, p > 1, in RN × [0,∞), N ≥ 3, with a singularity at the point
(0, 0)...
Differential Harnack inequalities for nonlinear heat equations with potentials under the Ricci flow
Differential Harnack inequality Interpolated Harnack inequality Nonlinear
2010/12/1
In this paper, we prove several differential Harnack inequalities for positive solutions of nonlinear (backward) heat equations with different potentials under the Ricci flow. In particular, for a clo...
Nonlinear Schrödinger equation with unbounded or vanishing potentials: solutions concentrating on lower dimensional spheres
Stationary nonlinear Schr¨odinger equation semiclassical states semilinear
2010/12/6
We study positive bound states for the equation −"2u + V (x)u = K(x)f(u), x 2 RN,where " > 0 is a real parameter and V and K are radial positive potentials.We are especially interested in solut...