搜索结果: 1-9 共查到“数学 Ground States”相关记录9条 . 查询时间(0.078 秒)
We study the nature of the Nonlinear Schr\"odinger equation ground states on the product spaces $\R^n\times M^k$, where $M^k$ is a compact Riemannian manifold. We prove that for small $L^2$ masses the...
Asymptotic stability of ground states in some Hamiltonian PDEs with symmetry
Asymptotic stability of ground states Hamiltonian PDEs symmetry
2011/9/22
Abstract: We consider a ground state (soliton) of a Hamiltonian PDE. We prove that if the soliton is orbitally stable then it is also asymptotically stable. The main assumptions are transversal nondeg...
On asymptotic stability of moving ground states of the nonlinear Schrodinger equation
asymptotic stability nonlinear Schrodinger equation Analysis of PDEs
2011/9/20
Abstract: We extend to the case of moving solitons, the result on asymptotic stability of ground states of the NLS with a short range linear potential obtained by the author in a previous paper. Now w...
On the Space of Symmetric Operators with Multiple Ground States
Symmetric Operators Multiple Ground States Algebraic Topology
2011/9/9
Abstract: We study homological structure of the filtrations of the space of self-adjoint operators by the multiplicity of the ground state. We consider only operators acting in a finite dimensional co...
Surface Gap Soliton Ground States for the Nonlinear Schrödinger Equation
Surface Gap Soliton Ground States the Nonlinear Schrö dinger Equation
2010/11/18
We consider the nonlinear Schr\"{o}dinger equation $(-\Delta +V(x))u = \Gamma(x) |u|^{p-1}u$, $x\in \R^n$ with $V(x) = V_1(x) \chi_{\{x_1>0\}}(x)+V_2(x) \chi_{\{x_1<0\}}(x)$ and $\Gamma(x) = \Gamma_1(...
For a class of nonnegative, range-1 pair potentials in one dimensional continuous space we prove that any classical ground state of lower density 1 is a tower-lattice, i.e., a lattice formed by towe...
Uniqueness and Nondegeneracy of Ground States for $(-\Delta)^s Q + Q - Q^{\alpha+1} = 0$ in $\R$
Uniqueness Nondegeneracy of Ground States
2010/12/9
We prove uniqueness of ground state solutions Q = Q(|x|) > 0 for the nonlinear equation (−)sQ + Q − Q +1 = 0 in R,where 0 < s < 1 and 0 < < 4s 1−2s for s < 1/2 and 0 < < 1 for s...
Reformulation of the Covering and Quantizer Problems as Ground States of Interacting Particles
Reformulation Covering Quantizer Problems Ground States
2010/12/16
It is known that the sphere packing problem and the number variance problem (closely related
to an optimization problem in number theory) can be posed as energy minimizations associated
with an infi...
Pointwise estimates for the ground states of some classes of positivity preserving operators
Hardy’s inequality ground state ultracontractivity Dirichlet form energy measure
2010/11/29
We establish pointwise estimates for the ground states of some classes of posi-tivity preserving operators. The considered operators are negatively perturbed (by measures) strongly local Dirichlet ope...