Chern-Dold character in elliptic cohomology.
Abdelaziz Kheldouni, Fayçal Lamrini (1996)
Extracta Mathematicae
Similarity:
Displaying similar documents to “On a Class of Generalized Elliptic-type Integrals”
Chern-Dold character in elliptic cohomology.
Fundamental solution, eigenvalue asymptotics and eigenfunctions of degenerate elliptic operators with positive potentials
Kazuhiro Kurata, Satoko Sugano (2000)
Studia Mathematica
Similarity:
We show a weighted version of Fefferman-Phong's inequality and apply it to give an estimate of fundamental solutions, eigenvalue asymptotics and exponential decay of eigenfunctions for certain degenerate elliptic operators of second order with positive potentials.
Dependence of fractional powers of elliptic operators on boundary conditions
Pavel E. Sobolevskii (1992)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Similarity:
The realization of an elliptic operator A under suitable boundary conditions is considered and the dependence of the square-root of A from the various conditions is studied.
On the dominance of partial differential operators II
Martin Schechter (1964)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
«Approximate approximations» and the cubature of potentials
Gunther Schmidt (1995)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Similarity:
The paper discusses new cubature formulas for classical integral operators of mathematical physics based on the «approximate approximation» of the density with Gaussian and related functions. We derive formulas for the cubature of harmonic, elastic and diffraction potentials approximating with high order in some range relevant for numerical computations. We prove error estimates and provide numerical results for the Newton potential.
A class of integrable polynomial vector fields
Javier Chavarriga (1995)
Applicationes Mathematicae
Similarity:
We study the integrability of two-dimensional autonomous systems in the plane of the form , , where Xs(x,y) and Ys(x,y) are homogeneous polynomials of degree s with s≥2. First, we give a method for finding polynomial particular solutions and next we characterize a class of integrable systems which have a null divergence factor given by a quadratic polynomial in the variable with coefficients being functions of tan−1(y/x).
On the problem of Gauss
O. Fomenko (1961)
Acta Arithmetica
Similarity: