Finite rank singular perturbations and distributions with discontinuous test functions

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود 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

Distributions with Dynamic Test Functions and Multiplication by Discontinuous Functions

As follows from the Schwartz Impossibility Theorem, multiplication of two distributions is in general impossible. Nevertheless, often one needs to multiply a distribution by a discontinuous function, not by an arbitrary distribution. In the present paper we construct a space of distributions where the general operation of multiplication by a discontinuous function is defined, continuous, commut...

متن کامل

Finite Rank Perturbations and Distribution Theory

Perturbations AT of a selfadjoint operator A by symmetric finite rank operators T from H2(A) to H−2(A) are studied. The finite dimensional family of selfadjoint extensions determined by AT is given explicitly.

متن کامل

The Space of Distributions with Discontinuous Test Functions and a Family of Zero-sum Games with Discontinuous Payoffs

In the present paper we consider one class of zero-sum games with discontinuous payoffs which may have no solutions in the sets of pure or mixed strategies. We show that, however, the solution always exists in the set of so-called R-mixed strategies which are the elements of the space R of distributions with discontinuous test functions. The advantages of the new space of distributions (in comp...

متن کامل

Singular Perturbations of Finite Dimensional Gradient Flows

In this paper we give a description of the asymptotic behavior, as ε → 0, of the ε-gradient flow in the finite dimensional case. Under very general assumptions we prove that it converges to an evolution obtained by connecting some smooth branches of solutions to the equilibrium equation (slow dynamics) through some heteroclinic solutions of the gradient flow (fast dynamics).

متن کامل

Finite Element Quadrature of Regularized Discontinuous and Singular Level Set Functions in 3D Problems

Regularized Heaviside and Dirac delta function are used in several fields of computational physics and mechanics. Hence the issue of the quadrature of integrals of discontinuous and singular functions arises. In order to avoid ad-hoc quadrature procedures, regularization of the discontinuous and the singular fields is often carried out. In particular, weight functions of the signed distance wit...

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: Proceedings of the American Mathematical Society

سال: 1998

ISSN: 0002-9939,1088-6826

DOI: 10.1090/s0002-9939-98-04291-9