Add to ORKGWe introduce a class of norms for time dependent kernels on the boundary of Lipschitz parabolic cylinders and we prove theorems of joint continuity of integral operators upon variation of both the kernel and the density function. As an application, we prove that the integral operator associated to the double layer heat potential has a regularizing property on the boundary
AbstractIn this paper, we establish sharp two-sided estimates for the Dirichlet heat kernels of a la...
By using logarithmic transformations, an explicit lower bound estimate of heat kernels is obtained f...
In this thesis, an integral representation theorem is obtained for non-negative solutions of the hea...
We prove an explicit formula for the tangential derivatives of the double layer heat potential. By e...
This Dissertation is devoted to the study of some integral operators arising in parabolic potential ...
We prove the validity of regularizing properties of a double layer potential associated to the funda...
This article provides a functional analytical framework for boundary integral equations of the heat ...
We prove space-time parabolic Besov regularity in terms of integrability of Besov norms in the space...
We show that the elliptic operator ${\mathcal L} = - b(x) \Delta$ has a bounded $H^\infty$ functiona...
AbstractWe study the parabolic operator ∂t−Δx+V(t,x), in R+1×Rd, d⩾1, with a potential V=V+−V−,V±⩾0 ...
Abstract. We prove forward and backward parabolic boundary Harnack principles for nonnegative soluti...
In this paper we prove an ℓs-boundedness result for integral operators with operator-valued kernels....
This thesis concerns the boundary behavior of solutions to parabolic equations. It consists of a com...
The principal aim of this short note is to extend a recent result on Gaussian heat kernel bounds for...
We obtain two-sided Gaussian heat kernel bounds for divergence-form parabolic equation with singular...
AbstractIn this paper, we establish sharp two-sided estimates for the Dirichlet heat kernels of a la...
By using logarithmic transformations, an explicit lower bound estimate of heat kernels is obtained f...
In this thesis, an integral representation theorem is obtained for non-negative solutions of the hea...
We prove an explicit formula for the tangential derivatives of the double layer heat potential. By e...
This Dissertation is devoted to the study of some integral operators arising in parabolic potential ...
We prove the validity of regularizing properties of a double layer potential associated to the funda...
This article provides a functional analytical framework for boundary integral equations of the heat ...
We prove space-time parabolic Besov regularity in terms of integrability of Besov norms in the space...
We show that the elliptic operator ${\mathcal L} = - b(x) \Delta$ has a bounded $H^\infty$ functiona...
AbstractWe study the parabolic operator ∂t−Δx+V(t,x), in R+1×Rd, d⩾1, with a potential V=V+−V−,V±⩾0 ...
Abstract. We prove forward and backward parabolic boundary Harnack principles for nonnegative soluti...
In this paper we prove an ℓs-boundedness result for integral operators with operator-valued kernels....
This thesis concerns the boundary behavior of solutions to parabolic equations. It consists of a com...
The principal aim of this short note is to extend a recent result on Gaussian heat kernel bounds for...
We obtain two-sided Gaussian heat kernel bounds for divergence-form parabolic equation with singular...
AbstractIn this paper, we establish sharp two-sided estimates for the Dirichlet heat kernels of a la...
By using logarithmic transformations, an explicit lower bound estimate of heat kernels is obtained f...
In this thesis, an integral representation theorem is obtained for non-negative solutions of the hea...