Zobrazeno 1 - 10
of 62
pro vyhledávání: '"Masamune, Jun"'
We give two characterizations for the essential self-adjointness of the weighted Laplacian on birth-death chains. The first involves the edge weights and vertex measure and is classically known; however, we give another proof using stability results,
Externí odkaz:
http://arxiv.org/abs/2404.12531
Motivated by recent progress of structural optimization problems, the paper presents a new method for constructing the distance function to the boundary of given sets of interest, which simplifies the optimization procedure. We extend the celebrated
Externí odkaz:
http://arxiv.org/abs/2401.17665
We study symmetric diffusion operators on metric measure spaces. Our main question is whether or not the restriction of the operator to a suitable core continues to be essentially self-adjoint or $L^p$-unique if a small closed set is removed from the
Externí odkaz:
http://arxiv.org/abs/2204.01378
Let $M$ be a complete, non-compact, connected Riemannian manifold with Ricci curvature bounded from below by a negative constant. A sufficient condition is obtained for open and connected sets $D$ in $M$ for which the corresponding Dirichlet heat sem
Externí odkaz:
http://arxiv.org/abs/2103.11560
We discuss connections between the essential self-adjointness of a symmetric operator and the constancy of functions which are in the kernel of the adjoint of the operator. We then illustrate this relationship in the case of Laplacians on both manifo
Externí odkaz:
http://arxiv.org/abs/2012.08936
Autor:
Masamune, Jun, Schmidt, Marcel
In this text we study a generalized conservation property for the heat semigroup generated by a Schr\"odinger operator with nonnegative potential on a weighted manifold. We establish Khasminskii's criterion for the generalized conservation property a
Externí odkaz:
http://arxiv.org/abs/1810.07981
In this paper we study the asymptotic behavior of second-order uniformly elliptic operators on weighted Riemannian manifolds. They naturally emerge when studying spectral properties of the Laplace-Beltrami operator on families of manifolds with rapid
Externí odkaz:
http://arxiv.org/abs/1710.09352
We consider the Laplacian and its fractional powers of order less than one on the complement $\mathbb{R}^d\setminus\Sigma$ of a given compact set $\Sigma\subset \mathbb{R}^d$ of zero Lebesgue measure. Depending on the size of $\Sigma$, the operator u
Externí odkaz:
http://arxiv.org/abs/1703.06056
We study global properties of Dirichlet forms such as uniqueness of the Dirichlet extension, stochastic completeness and recurrence. We characterize these properties by means of vanishing of a boundary term in Green's formula for functions from suita
Externí odkaz:
http://arxiv.org/abs/1412.3355
We study the uniqueness of self-adjoint and Markovian extensions of the Laplacian on weighted graphs. We first show that, for locally finite graphs and a certain family of metrics, completeness of the graph implies uniqueness of these extensions. Mor
Externí odkaz:
http://arxiv.org/abs/1208.6358