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A PRIORI ESTIMATES FOR MANY-BODY HAMILTONIAN EVOLUTION OF INTERACTING BOSON SYSTEM
Dispersive estimates interaction Morawetz type (correlation) estimates many-body Hamiltonian many-body Schrodinger equation quantum hydrodynamics BBGKY hierarchy
2015/10/16
We study the evolution of a many-particle system whose wave function obeys the N-body Schr¨ odinger equation under Bose symmetry. The system Hamiltonian describes pairwise particle interactions in the...
Lp estimates for quantities advected by a compressible flow
Lp estimates quantities advected compressible flow
2015/10/15
We consider the evolution of a quantity advected by a compressible flow and subject to diffusion. When this quantity is scalar it can be, for instance, the temperature of the flow or the concentration...
In this paper, we establish a Bochner type formula on Alexandrov spaces with Ricci curvature
bounded below. Yau’s gradient estimates for harmonic functions is also obtained on Alexandrov
spaces.
On gradient estimates for a nonlinear parabolic equation on Riemannian manifolds
Nonlinear parabolic equations Gradient estimates
2010/9/25
Let (M,g) be a complete noncompact Riemannian manifold. In this note, we derive a local gradient estimate for positive solution to a simple nonlinear parabolic equation
Growth Estimates for Orbits of Self Adjoint Groups
Growth Estimates Orbits of Self Adjoint Groups
2011/1/21
Let G denote a closed, connected, self adjoint, noncompact subgroup of GL(n,R), and let dR
and dL denote respectively the right and left invariant Riemannian metrics defined by the canonical inner pr...
Complex-Time Singularity and Locality Estimates for Quantum Lattice Systems
Complex-Time Singularity Locality Estimates Quantum Lattice Systems
2010/11/15
We present and prove a well-known locality bound for the complex-time dynamics of a general class of one-dimensional quantum spin systems. Then we discuss how one might hope to extend this same proce...
Some estimates for Bochner-Riesz operators on the weighted Morrey spaces
Bochner-Riesz operators the weighted Morrey spaces
2010/11/12
In this paper, we will obtain some weighted strong type and weak type estimates of Bochner-Riesz operators $T^{{(n-1)}/2}_R$ on the weighted Morrey spaces $L^{p,\kappa}(w)$ for $1\le p<\infty$ and $0...
$W^{2,2}$ Estimates for Solutions to Non-Uniformly Elliptic PDE'S with Measurable Coefficients
Cordes conditions Elliptic partial differential equations
2008/7/3
$W^{2,2}$ Estimates for Solutions to Non-Uniformly Elliptic PDE'S with Measurable Coefficients.
Coefficient Estimates for Certain Classes of Analytic Functions
Analytic functions Univalent functions Starlike functions Convex functions
2008/7/1
Coefficient Estimates for Certain Classes of Analytic Functions.
Estimates for the $\partial-$Neumann Operator On Strongly Pseudo-Convex Domain With Lipschitz Boundary
Sobolev estimate Neumann problem Lipschitz domains
2008/7/1
Estimates for the $\partial-$Neumann Operator On Strongly Pseudo-Convex Domain With Lipschitz Boundary.
Estimates for the Green function and Characterization of a Certain Kato Class by the Gauss Semigroup in the Half Space
Green functions $3G$-theorem Kato class
2008/7/1
Estimates for the Green function and Characterization of a Certain Kato Class by the Gauss Semigroup in the Half Space.
Explicit Estimates on Integral Inequalities with Time Scale
Explicit estimates Time scale Gronwall inequality Bihari's Inequality
2008/7/1
The main objective of this paper is to obtain explicit estimates on some integral inequalities on time scale. The obtained inequalities can be used as tools in the study of certain classes of dynamic ...
Local Estimates for Jacobi Polynomials.
On $L^p$-Estimates for the Time Dependent Schrödinger Operator on $L^2$
Schrö dinger Equation Strichartz Estimates and Self-adjointness
2008/6/30
On $L^p$-Estimates for the Time Dependent Schrödinger Operator on $L^2$.
On Estimates of Normal Structure Coefficients of Banach Spaces
Normal structure coefficient Neumann-Jordan constant Non-square constants Banach space
2008/6/27
On Estimates of Normal Structure Coefficients of Banach Spaces.