Results 41 to 50 of about 12,491,734 (263)

The Davies method revisited for heat kernel upper bounds of regular Dirichlet forms on metric measure spaces [PDF]

Forum mathematicum, 2016
We apply the Davies method to prove that for any regular Dirichlet form on a metric measure space, an off-diagonal stable-like upper bound of the heat kernel is equivalent to the conjunction of the on-diagonal upper bound, a cutoff inequality on any two ...
Jiaxin Hu, Xuliang Li
semanticscholar   +1 more source

Amenability and subexponential spectral growth rate of Dirichlet forms on von Neumann algebras [PDF]

, 2016
In this work we apply Noncommutative Potential Theory to prove (relative) amenability and the (relative) Haagerup Property $(H)$ of von Neumann algebras in terms of the spectral growth of Dirichlet forms.
F. Cipriani, J. Sauvageot
semanticscholar   +1 more source

Dirichlet forms and white noise analysis [PDF]

Communications in Mathematical Physics, 1988
The framework of white noise analysis [\textit{T. Hida}, Brownian motion (1980; Zbl 0432.60002)] is used to construct and investigate Dirichlet forms [\textit{M. Fukushima}, Dirichlet forms and Markov processes. (1980; Zbl 0422.31007)] over \({\mathcal S}^*({\mathbb{R}})\) (the generalization of \({\mathcal S}^*({\mathbb{R}}^ d)\) being obvious). Let (\
HIDA, T, POTTHOFF, J, Streit, Ludwig
openaire   +3 more sources

Least energy nodal solutions for elliptic equations with indefinite nonlinearity

Electronic Journal of Qualitative Theory of Differential Equations, 2014
We prove the existence of a nodal solution with two nodal domains for the Dirichlet problem with indefinite nonlinearity \begin{equation*} -\Delta_p u = \lambda |u|^{p-2} u + f(x) |u|^{\gamma-2} u \end{equation*} in a bounded domain $\Omega \subset ...
Vladimir Bobkov
doaj   +1 more source

Conservativeness criteria for generalized Dirichlet forms [PDF]

, 2016
We develop sufficient analytic conditions for conservativeness of non-sectorial perturbations of symmetric Dirichlet forms which can be represented through a carre du champ on a locally compact separable metric space.
M. Gim, Gerald Trutnau
semanticscholar   +1 more source

Value-distribution of twisted L-functions of normalized cusp forms

Lietuvos Matematikos Rinkinys, 2010
A limit theorem in the sense of weak convergence of probability measures on the complex plane for twisted with Dirichlet character L-functions of holomorphic normalized Hecke eigen cusp forms with an increasing modulus of the character is proved.
Alesia Kolupayeva
doaj   +1 more source

Geometry and analysis of Dirichlet forms (II)

Journal of Functional Analysis, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
P. Koskela, Nageswari Shanmugalingam, Yuan Zhou   +2 more
semanticscholar   +4 more sources

BSDE and generalized Dirichlet forms: the finite dimensional case [PDF]

, 2012
We consider the following quasi-linear parabolic system of backward partial differential equations: $(\partial_t+L)u+f(\cdot,\cdot,u, \nabla u\sigma)=0$ on $[0,T]\times \mathbb{R}^d\qquad u_T=\phi$, where $L$ is a possibly degenerate second order ...
Zhu, Rongchan
core   +3 more sources

Geometry and analysis of Dirichlet forms

Advances in Mathematics, 2012
Let $ \mathscr E $ be a regular, strongly local Dirichlet form on $L^2(X, m)$ and $d$ the associated intrinsic distance. Assume that the topology induced by $d$ coincides with the original topology on $ X$, and that $X$ is compact, satisfies a doubling property and supports a weak $(1, 2)$-Poincaré inequality.
Koskela, Pekka, Zhou, Yuan
openaire   +3 more sources

Dirichlet type extensions of Euler sums

Comptes Rendus. Mathématique, 2023
In this paper, we study the alternating Euler $T$-sums and $\tilde{S}$-sums, which are infinite series involving (alternating) odd harmonic numbers, and have similar forms and close relations to the Dirichlet beta functions.
Xu, Ce, Wang, Weiping
doaj   +1 more source