In this paper, we study the heat equation on a homogeneous graph, relative to the natural (nearest–neighbour) Laplacian. We find pointwise estimates for the heat and resolvent kernels, and the L p − L q L^{p}-L^{q} mapping properties of the corresponding operators
The aim of this article is to develop the theory of product Hardy spaces associated with operators w...
AbstractFor an infinite graph, general lower and upper estimates of the Green kernel and the heat ke...
In this paper we develop the parametrix approach for constructing the heat kernel on a graph $G$. In...
We consider the heat semigroup generated by the Laplace operator on metric trees. Among our results ...
We consider the heat semigroup generated by the Laplace operator on metric trees. Among our results ...
Let X be a homogeneous tree of degree greater than or equal to three. In this paper we study the com...
Let X be a homogeneous tree of degree greater than or equal to three. In this paper we study the com...
Let X be a homogeneous tree of degree greater than or equal to three. In this paper we study the com...
Let X be a homogeneous tree of degree greater than or equal to three. In this paper we study the com...
AbstractLet X be a homogeneous tree. We study the heat diffusion process associated with the nearest...
AbstractLet X be a homogeneous tree. We study the heat diffusion process associated with the nearest...
In this paper, we study an asymptotic expansion of the heat kernel for a Laplace operator on a smoot...
AbstractWe study the physical Laplacian and the corresponding heat flow on an infinite, locally fini...
43 pagesInternational audienceOn a doubling metric measure space endowed with a "carré du champ", we...
We prove an L^p estimate for the Schrodinger group e^{-itL} generated by a semibounded, selfadjoint...
The aim of this article is to develop the theory of product Hardy spaces associated with operators w...
AbstractFor an infinite graph, general lower and upper estimates of the Green kernel and the heat ke...
In this paper we develop the parametrix approach for constructing the heat kernel on a graph $G$. In...
We consider the heat semigroup generated by the Laplace operator on metric trees. Among our results ...
We consider the heat semigroup generated by the Laplace operator on metric trees. Among our results ...
Let X be a homogeneous tree of degree greater than or equal to three. In this paper we study the com...
Let X be a homogeneous tree of degree greater than or equal to three. In this paper we study the com...
Let X be a homogeneous tree of degree greater than or equal to three. In this paper we study the com...
Let X be a homogeneous tree of degree greater than or equal to three. In this paper we study the com...
AbstractLet X be a homogeneous tree. We study the heat diffusion process associated with the nearest...
AbstractLet X be a homogeneous tree. We study the heat diffusion process associated with the nearest...
In this paper, we study an asymptotic expansion of the heat kernel for a Laplace operator on a smoot...
AbstractWe study the physical Laplacian and the corresponding heat flow on an infinite, locally fini...
43 pagesInternational audienceOn a doubling metric measure space endowed with a "carré du champ", we...
We prove an L^p estimate for the Schrodinger group e^{-itL} generated by a semibounded, selfadjoint...
The aim of this article is to develop the theory of product Hardy spaces associated with operators w...
AbstractFor an infinite graph, general lower and upper estimates of the Green kernel and the heat ke...
In this paper we develop the parametrix approach for constructing the heat kernel on a graph $G$. In...
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