论文信息 - EXPLICIT CONSTANTS FOR GAUSSIAN UPPER BOUNDS ON HEAT KERNELS - 字舞流文

EXPLICIT CONSTANTS FOR GAUSSIAN UPPER BOUNDS ON HEAT KERNELS

On utilise des inegalites logarithmiques de Sobolev pour obtenir des bornes superieures gaussiennes sur les noyaux de la chaleur associes a des operateurs d'ordre 2 elliptiques et hypoelliptiques

E. Davies | Edward Davies

[1] M. Fukushima. Dirichlet forms and Markov processes , 1980 .

[2] N. Varopoulos,et al. Hardy-Littlewood theory for semigroups , 1985 .

[3] Jeff Cheeger,et al. Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds , 1982 .

[4] I. Chavel. Eigenvalues in Riemannian geometry , 1984 .

[5] Barry Simon,et al. Ultracontractivity and the Heat Kernel for Schrijdinger Operators and Dirichlet Laplacians , 1987 .

[6] D. Aronson,et al. Non-negative solutions of linear parabolic equations , 1968 .

[7] L. Gross. LOGARITHMIC SOBOLEV INEQUALITIES. , 1975 .

[8] S. Éidel'man,et al. Two-sided estimates of fundamental solutions of second-order parabolic equations, and some applications , 1984 .

[9] E. Davies. HEAT KERNEL BOUNDS FOR SECOND ORDER ELLIPTIC OPERATORS ON RIEMANNIAN MANIFOLDS , 1987 .

[10] S. Yau,et al. On the parabolic kernel of the Schrödinger operator , 1986 .

[11] L. Thomas,et al. Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operators , 1973 .