Add to ORKGSolving the Dirichlet boundary value problem for an elliptic operator amounts to study the good properties of the associated elliptic measure. In the context of domains having an Ahlfors regular boundary and satisfying theso-called interior corkscrew and Harnack chain conditions (these are respectively scale invariant/quantitative versions of openness and path-connectivity) we will show that for the class of Kenig-Pipher uniformly elliptic operators thesolvability of the Lp-Dirichlet problem with some finite p is equivalent to theuniform rectifiablity of the boundary. Joint work with S. Hofmann, S. Mayboroda, T. Toro, and Z. Zhao
Let Omega subset of Rn+1, n >= 2, be a 1-sided nontangentially accessible domain, that is, a set whi...
116pagesTake an open domain Ω ⊂ R n whose boundary may be composed of pieces of different dimensions...
Abstract. The present paper establishes a certain duality between the Dirich-let and Regularity prob...
Solving the Dirichlet boundary value problem for an elliptic operator amounts to study the good prop...
Solving the Dirichlet boundary value problem for an elliptic operator amounts to study the good prop...
Abstract from public.pdf file.Dissertation supervisor: Dr. Steve Hoffmann.Includes vita.In this thes...
The present paper establishes the correspondence between the properties of the solutions of a class ...
Let $\Omega\subset\re^{n+1}$, $n\ge 2$, be a 1-sided chord-arc domain, that is, a domain which satis...
In this note we study the boundary regularity of solutions to nonlocal Dirichlet problems of the for...
Thesis (Ph.D.)--University of Washington, 2018Harmonic/elliptic measure arises naturally in probabil...
We show that the boundedness of the Hardy-Littlewood maximal operator on a Kothe function space X an...
summary:We prove boundedness and continuity for solutions to the Dirichlet problem for the equation ...
If L is a uniformly elliptic operator in non–divergence form, the boundary Harnack principle for the...
When studying the well-posedness of elliptic boundary value problems on a compact smooth manifold wi...
We study boundary value problems for first-order elliptic differential operators on manifolds with c...
Let Omega subset of Rn+1, n >= 2, be a 1-sided nontangentially accessible domain, that is, a set whi...
116pagesTake an open domain Ω ⊂ R n whose boundary may be composed of pieces of different dimensions...
Abstract. The present paper establishes a certain duality between the Dirich-let and Regularity prob...
Solving the Dirichlet boundary value problem for an elliptic operator amounts to study the good prop...
Solving the Dirichlet boundary value problem for an elliptic operator amounts to study the good prop...
Abstract from public.pdf file.Dissertation supervisor: Dr. Steve Hoffmann.Includes vita.In this thes...
The present paper establishes the correspondence between the properties of the solutions of a class ...
Let $\Omega\subset\re^{n+1}$, $n\ge 2$, be a 1-sided chord-arc domain, that is, a domain which satis...
In this note we study the boundary regularity of solutions to nonlocal Dirichlet problems of the for...
Thesis (Ph.D.)--University of Washington, 2018Harmonic/elliptic measure arises naturally in probabil...
We show that the boundedness of the Hardy-Littlewood maximal operator on a Kothe function space X an...
summary:We prove boundedness and continuity for solutions to the Dirichlet problem for the equation ...
If L is a uniformly elliptic operator in non–divergence form, the boundary Harnack principle for the...
When studying the well-posedness of elliptic boundary value problems on a compact smooth manifold wi...
We study boundary value problems for first-order elliptic differential operators on manifolds with c...
Let Omega subset of Rn+1, n >= 2, be a 1-sided nontangentially accessible domain, that is, a set whi...
116pagesTake an open domain Ω ⊂ R n whose boundary may be composed of pieces of different dimensions...
Abstract. The present paper establishes a certain duality between the Dirich-let and Regularity prob...
