Add to ORKGAbstract. Given any elliptic system with t-independent coefficients in the upper-half space, we obtain representation and trace for the conormal gradient of so-lutions in the natural classes for the boundary value problems of Dirichlet and Neumann types with area integral control or non-tangential maximal control. The trace spaces are obtained in a natural range of boundary spaces which is parametrized by properties of some Hardy spaces. This implies a complete picture of uniqueness vs solvability and well-posedness. In memory of B. Dahlber
In this article we demonstrate that the solutions of a certain class of non-linear elliptic systems ...
We prove that for any homogeneous, second-order, constant complex coefficient elliptic system L in ℝ...
When studying the well-posedness of elliptic boundary value problems on a compact smooth manifold wi...
International audienceIn this monograph our main goal is to study the well-posedness of boundary val...
Revised version of our monograph. Section 14 supersedes the treatment of multiplicative perturbation...
International audienceWe continue the development, by reduction to a first order system for the cono...
We show that the boundedness of the Hardy-Littlewood maximal operator on a Kothe function space X an...
Abstract. We describe the dual space of the boundary trace space for func-tions with a finite Dirich...
We survey recent progress in a program which to date has produced [18]- [25], aimed at proving gene...
This monograph presents a comprehensive treatment of second order divergence form elliptic operators...
In this monograph the authors study the well-posedness of boundary value problems of Dirichlet and N...
Abstract. We develop new solvability methods for divergence form second order, real and complex, ell...
We prove well-posedness results for the Dirichlet problem in Rn + for homogeneous, second order, co...
Abstract. For elliptic systems of differential equations on a manifold with boundary, we prove the F...
Abstract. For strongly elliptic systems with Douglis–Nirenberg structure, we investigate the reg-ula...
In this article we demonstrate that the solutions of a certain class of non-linear elliptic systems ...
We prove that for any homogeneous, second-order, constant complex coefficient elliptic system L in ℝ...
When studying the well-posedness of elliptic boundary value problems on a compact smooth manifold wi...
International audienceIn this monograph our main goal is to study the well-posedness of boundary val...
Revised version of our monograph. Section 14 supersedes the treatment of multiplicative perturbation...
International audienceWe continue the development, by reduction to a first order system for the cono...
We show that the boundedness of the Hardy-Littlewood maximal operator on a Kothe function space X an...
Abstract. We describe the dual space of the boundary trace space for func-tions with a finite Dirich...
We survey recent progress in a program which to date has produced [18]- [25], aimed at proving gene...
This monograph presents a comprehensive treatment of second order divergence form elliptic operators...
In this monograph the authors study the well-posedness of boundary value problems of Dirichlet and N...
Abstract. We develop new solvability methods for divergence form second order, real and complex, ell...
We prove well-posedness results for the Dirichlet problem in Rn + for homogeneous, second order, co...
Abstract. For elliptic systems of differential equations on a manifold with boundary, we prove the F...
Abstract. For strongly elliptic systems with Douglis–Nirenberg structure, we investigate the reg-ula...
In this article we demonstrate that the solutions of a certain class of non-linear elliptic systems ...
We prove that for any homogeneous, second-order, constant complex coefficient elliptic system L in ℝ...
When studying the well-posedness of elliptic boundary value problems on a compact smooth manifold wi...