搜索结果: 1-15 共查到“偏微分方程 operators”相关记录29条 . 查询时间(0.109 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Non-local operators with low-order singular kernels
低阶 奇异内核 非局部 运算符 正则性估计 二阶椭圆方程
2023/4/24
The regularity estimates have well-established for second-order elliptic and parabolic equations, as well as for equations with stable-like non-local operators. Whether similar results hold for non-lo...
UNIFORMLY ELLIPTIC OPERATORS ON RIEMANNIAN MANIFOLDS
RIEMANNIAN MANIFOLDS ELLIPTIC OPERATORS
2015/8/26
Given a Riemannian manifold (M, g), we study the solutions of heat
equations associated with second order differential operators in divergence
form that are uniformly elliptic with respect to g . Ty...
Fading memory and the problem of approximating nonlinear operators with Volterra series
Continuous nonlinear operator volterra series operator nonlinear dynamic system
2015/8/13
Using the notion of fading memory, very strong versions of two theorems are proved. The first is that any time-invariant (TI) continuous nonlinear operator can be approximated by a Volterra series ope...
Hierarchical Interpolative Factorization for Elliptic Operators:Integral Equations
Hierarchical Interpolative Factorization Elliptic Operators Integral Equations
2015/7/14
This paper introduces the hierarchical interpolative factorization for integral equations (HIF-IE) associated with elliptic problems in two and three dimensions.This factorization takes the form of an...
Hierarchical Interpolative Factorization for Elliptic Operators:Differential Equations
Hierarchical Interpolative Factorization Elliptic Operators Differential Equations
2015/7/14
This paper introduces the hierarchical interpolative factorization for elliptic partial differential equations (HIF-DE) in two (2D) and three dimensions (3D). This factorization takes the form of an a...
Spectral asymptotics for nonsmooth singular Green operators
Spectral asymptotics nonsmooth singular Green operators Analysis of PDEs
2012/5/9
Singular Green operators G appear typically as boundary correction terms in resolvents for elliptic boundary value problems on a domain \Omega \subset R^n, and more generally they appear in the calcul...
Riemann-Hilbert Problems with canonical normalization and families of commuting operators
Riemann-Hilbert Problems commuting operators integrable 3-wave interactions
2012/4/26
We start with a Riemann-Hilbert Problems (RHP) with canonical normalization whose sewing functions depends on several additional variables. Using Zakharov-Shabat theorem we are able to construct a fam...
On the Lyapounov exponents of Schrodinger operators associated with the standard map
Lyapounov exponents Schrodinger operators associated standard map
2012/3/1
It is shown that Schrodinger operators defined from the standard map have positive (mean) Lyapounov exponents for almost all energies.
Factorization of linear and nonlinear differential operators: necessary and sufficient conditions
Linear differential equations nonlinear differential equations factorization
2011/9/20
Abstract: An algebraic approach for factorizing nonlinear partial differential equations (PDEs) and systems of PDEs is provided.
In the particular case of second order linear and nonlinear PDEs and ...
Trace formulas for Schroinger operators from the view point of complex analysis
Schrodinger operators trace formula eigenvalues resonances Spectral Theory
2011/9/6
Abstract: We consider the Schr{\"o}dinger operator $-\Delta +V(x)$ in $L^2({\bf R}^3)$ with a real short-range (integrable) potential $V$. Using the associated Fredholm determinant, we present new tra...
Resonant uniqueness of radial semiclassical Schrodinger operators
inverse scattering theory trace invariants semiclassical Schrodinger operators
2011/8/25
Abstract: We prove that radial, monotonic, superexponentially decaying potentials in R^n, n greater than or equal to 1 odd, are determined by the resonances of the associated semiclassical Schrodinger...
Regularity properties of Schr鰀inger operators
Schrodinger operator reverse Holder inequality fractional derivatives regularity estimates
2011/8/22
Abstract: Let L be a Schr\"odinger operator of the form L=-\Delta+V, where the nonnegative potential V satisfies a reverse H\"older inequality. Using the method of L-harmonic extensions we study regul...
Homogenization of a class of integro-differential equations with L{é}vy operators
Homogenization of a class integro-differential equations L{é}vy operators
2011/2/22
We study the periodic homogenization of u"−c( x" ) Zz∈RN [u"(x+z)−u"(x)−1|z|<1h∇u"(x).
Intertwining operators for Sklyanin algebra and elliptic hypergeometric series
Intertwining operators Sklyanin algebra elliptic hypergeometric series
2011/1/18
Intertwining operators for infinite-dimensional representations of the Sklyanin algebra with spins ℓ and −ℓ − 1 are constructed using the technique of intertwin-ing vectors for...
Hyperbolic hypercomplex D-bar operators, hyperbolic CR-equations and harmonicity
hyperbolic holomorphicity hyperbolic harmonicity
2011/2/21
This paper is partially a review of the development of the Investigation Program announced by Stancho Dimiev at the Bedlevo Conference on Hypercomplex Analysis (2006).