ᵉe-symmetric second order differential operators

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Fredholm properties of radially symmetric, second order differential operators

We analyze Fredholm properties of radially symmetric second order systems in unbounded domains. The main theorem relates the Fredholm index to the Morse index at infinity. As a consequence, linear operators are Fredholm in exponentially weighted spaces for almost all weights. The result provides the basic tool for the analysis of perturbation and bifurcation problems in the presence of essentia...

متن کامل

Visualizing High-Order Symmetric Tensor Field Structure with Differential Operators

The challenge of tensor field visualization is to provide simple and comprehensible representations of data which vary both directionally and spatially. We explore the use of differential operators to extract features from tensor fields. These features can be used to generate skeleton representations of the data that accurately characterize the global field structure. Previously, vector field o...

متن کامل

Multigrid methods for nonlinear second order partial differential operators

This thesis is concerned with the efficient numerical solution of nonlinear partial differential equations (PDEs) of elliptic and parabolic type. Such PDEs arise frequently in models used to describe many physical phenomena, from the diffusion of a toxin in soil to the flow of viscous fluids. The main focus of this research is to better understand the implementation and performance of nonlinear...

متن کامل

Second-order differential equations on R+ governed by monotone operators

Consider in a real Hilbert space H the differential equation (E) : p(t)u′′(t) + q(t)u′(t) ∈ Au(t) + f(t), for a.a. t ∈ R+ = [0,∞), with the condition u(0) = x ∈ D(A), where A : D(A) ⊂ H → H is a maximal monotone operator, with [0, 0] ∈ A (or, more generally, 0 ∈ R(A)); p, q ∈ L∞(R+), with ess inf p > 0 and either ess inf q > 0 or ess sup q < 0; and f : R+ → H is a given function. Recall that eq...

متن کامل

Differential Transformations of Parabolic Second-Order Operators in the Plane

The theory of transformations for hyperbolic second-order equations in the plane, developed by Darboux, Laplace and Moutard, has many applications in classical differential geometry [12, 13], and beyond it in the theory of integrable systems [14, 19]. These results, which were obtained for the linear case, can be applied to nonlinear Darboux-integrable equations [2, 7, 15, 16]. In the last deca...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Operators and Matrices

سال: 2020

ISSN: 1846-3886

DOI: 10.7153/oam-2020-14-54