For continuous boundary data, the modified Poisson integral is used to write solutions to the half space Dirichlet problem for the Schrödinger operator. Meanwhile, a solution of the Poisson integral for any continuous boundary function is also given explicitly by the Poisson integral with the generalized Poisson kernel depending on this boundary function
A representation for the sharp coefficient in a pointwise estimate for the gradient of a generalized...
AbstractUsing the formal series method in this paper we construct a Poisson operator for classical b...
Abstract. In this article, we consider a class of Dirichlet problems with Lp boundary data for polyh...
The paper considers the multidimensional Poisson equation in the domain bounded by two parallel hype...
Abstract. In this article, we consider a class of Dirichlet problems with Lp boundary data for polyh...
We prove Poisson upper bounds for the kernel $K$ of the semigroup generated by the Dirichlet-to-Neum...
AbstractLet L = 12∑k = 1d Vk2 + V0 be a smooth second order differential operator on Rn written in H...
Abstract. In this article, we consider a class of Dirichlet problems with Lp boundary data for polyh...
AbstractAn operator closely related to the Hilbert transform on the circle is shown to be unitarily ...
We formulate and solve the Poisson problem for the exterior de-rivative operator with Dirichlet boun...
International audienceWe study Schrödinger operators on trees and construct associated Poisson kerne...
A broad class of steady-state physical problems can be reduced to finding the harmonic functions tha...
In this study, the Green function of the (interior) Dirichlet problem for the Laplace (also Poisson)...
In this study, the Green function of the (interior) Dirichlet problem for the Laplace (also Poisson)...
In this paper the Dirichlet problem for a class of standard weighted Laplace operators in the upper ...
A representation for the sharp coefficient in a pointwise estimate for the gradient of a generalized...
AbstractUsing the formal series method in this paper we construct a Poisson operator for classical b...
Abstract. In this article, we consider a class of Dirichlet problems with Lp boundary data for polyh...
The paper considers the multidimensional Poisson equation in the domain bounded by two parallel hype...
Abstract. In this article, we consider a class of Dirichlet problems with Lp boundary data for polyh...
We prove Poisson upper bounds for the kernel $K$ of the semigroup generated by the Dirichlet-to-Neum...
AbstractLet L = 12∑k = 1d Vk2 + V0 be a smooth second order differential operator on Rn written in H...
Abstract. In this article, we consider a class of Dirichlet problems with Lp boundary data for polyh...
AbstractAn operator closely related to the Hilbert transform on the circle is shown to be unitarily ...
We formulate and solve the Poisson problem for the exterior de-rivative operator with Dirichlet boun...
International audienceWe study Schrödinger operators on trees and construct associated Poisson kerne...
A broad class of steady-state physical problems can be reduced to finding the harmonic functions tha...
In this study, the Green function of the (interior) Dirichlet problem for the Laplace (also Poisson)...
In this study, the Green function of the (interior) Dirichlet problem for the Laplace (also Poisson)...
In this paper the Dirichlet problem for a class of standard weighted Laplace operators in the upper ...
A representation for the sharp coefficient in a pointwise estimate for the gradient of a generalized...
AbstractUsing the formal series method in this paper we construct a Poisson operator for classical b...
Abstract. In this article, we consider a class of Dirichlet problems with Lp boundary data for polyh...
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