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王凤雨, Fu-Zhou Gong and Feng-Yu Wang
,-0001,():
-1年11月30日
Let (E;F;
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【期刊论文】Functional Inequalities for Empty Essential Spectrum
王凤雨, Feng-Yu Wang*,
,-0001,():
-1年11月30日
In terms of the equivalence of Poincare inequality and the existence of spectral gap, the super-Poincare inequality is suggested in the paper for the study of essential spectrum. It is proved for symmetric di
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【期刊论文】Existence of the spectral gap for elliptic operators
王凤雨, Feng-Yu Wang()
Ark. Mat., 37 (1999), 395-407,-0001,():
-1年11月30日
Let M be a connected, noncompact, complete Riemannian manifold, consider the operator L=∆+∇V for some V ∈C2(M) with exp[V]integrable with respect to the Riemannian volume element. This paper studies the existence of the spectral gap of L. As a consequence of the main result, let be the distance function from a point o, then the spectral gap exists provided lim →∞ sup L<0 while the spectral gap does not existi fo is a pole and lim →∞ inf L≥0. Moreover, the elliptic operators on Rd are also studied.
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【期刊论文】Supercontractivity and Ultracontractivity for (Non-Symmetric) Di
王凤雨, Michael Rockner and Feng-Yu Wang
,-0001,():
-1年11月30日
Under a curvature condition, we obtain some criteria of supercontractivity and ultracontractivity for (non-symmetric) di
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王凤雨, Feng-Yu Wang
,-0001,():
-1年11月30日
The weak Poincar
Path space,, weak Poincar
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