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4 papers · 2 filters
The Integrability of Negative Powers of the Solution of the Saint Venant Problem
Anthony Carbery, Vladimir Maz'ya, Marius Mitrea +1
We initiate the study of the finiteness condition where is an open set and is the solution of the Saint Vena…
Square function/non-tangential maximal function estimates and the dirichlet problem for non-symmetric elliptic operators
Steve Hofmann, Carlos Kenig, Svitlana Mayboroda +1
We consider divergence form elliptic operators L = - div A(x)\nabla, defined in the half space R^{n+1}_+, n \geq 2, where the coefficient matrix A(x) is bounded, measurable, unifor…
Finite Propagation Speed for First Order Systems and Huygens' Principle for Hyperbolic Equations
Alan McIntosh, Andrew J. Morris
We prove that strongly continuous groups generated by first order systems on Riemannian manifolds have finite propagation speed. Our procedure provides a new direct proof for self-…
Quasilinear equations with source terms on Carnot groups
Nguyen Cong Phuc, Igor E. Verbitsky
In this paper we give necessary and sufficient conditions for the existence of solutions to quasilinear equations of Lane--Emden type with measure data on a Carnot group $\mathbb G…