搜索结果: 1-7 共查到“泛函分析 equation”相关记录7条 . 查询时间(0.109 秒)
Heat equation for weighted Banach space valued function spaces
Laplace operator holomorphic semigroups weighted Banach space valued function spaces Functional Analysis
2012/6/21
We study the homogeneous equation (*) $ u' = \Delta u$, $t > 0$, $u(0)=f\in wX$, where $wX$ is a weighted Banach space, $w(x)= (1+||x||)^k$, $x\in \r^n$ with $k\ge 0$, $ \Delta$ is the Laplacian, $Y$ ...
On the Boundary Value Problem with the Operator in Boundary Conditions for the Operator-Differential Equation of the Third Order
boundary-value problem operator-differential equation Hilbert space self-adjoined operator regular solvability
2011/9/20
Abstract: In this paper the boundary value problem for one class of the operator-differential equations of the third order on a semi-axis, where one of the boundary conditions is perturbed by some lin...
The wave equation on Damek-Ricci spaces
phrases. Damek–Ricci spaces semilinear wave equation dispersive estimate
2011/1/18
We study the dispersive properties of the wave equation associated with the shifted Laplace–Beltrami operator on Damek–Ricci spaces, and deduce Strichartz estimates for a large family of admissible pa...
A period differential equation for a family of $K3$ surfaces and the Hilbert modular orbifold for the field $\mathbb{Q}(\sqrt{5})$
K3 surfaces Hilbert modular orbifolds period maps period di erential equations toric varieties
2010/12/14
In this article we study the period map for a family of K3 surfaces which is given by the anticanon-ial divisor of a toric variety. We determine the period di erential equation and its monodromy group...
Global solutions for the generalized Boussinesq equation in low-order Sobolev spaces
Global solutions generalized Boussinesq equation low-order Sobolev spaces
2010/12/14
We show that the Cauchy problem for the defocusing generalized Boussinesq equation utt − uxx + uxxxx − (|u|2ku)xx = 0, k 1, on the real line is globally well-posed in Hs(R) for s > 1W...
Hilbert Expansion from the Boltzmann equation to relativistic Fluids
Hilbert Expansion Boltzmann equation relativistic Fluids
2010/12/13
We study the local-in-time hydrodynamic limit of the relativistic Boltzmann equation using a Hilbert expansion. More speci cally, we prove the existence of local solutions to the relativistic Boltzman...
A New Integrable Reduction of the Coupled NLS Equation
Multiple Scales Method Coupled nonlinear Klein-Gordon Equation Coupled NLS Equation Spectral Problem Integrable Hamiltonian system
2010/3/4
The method of multiple scales is used to derive a new integrable coupled nonlinear Schr\\"odinger equation (CNLS) as an amplitude equation from the coupled nonlinear Klein-Gordon Equation (CNKG). We a...