M
Marius Mitrea
Researcher at Baylor University
Publications - 215
Citations - 5760
Marius Mitrea is an academic researcher from Baylor University. The author has contributed to research in topics: Lipschitz continuity & Lipschitz domain. The author has an hindex of 44, co-authored 209 publications receiving 5356 citations. Previous affiliations of Marius Mitrea include Romanian Academy & University of Missouri.
Papers
More filters
Book
Hardy Spaces Associated to Non-Negative Self-Adjoint Operators Satisfying Davies-Gaffney Estimates
TL;DR: In this article, a theory of Hardy and BMO spaces associated to a metric space with doubling measure is presented, including an atomic decomposition, square function characterization, and duality of Hardy spaces.
Journal ArticleDOI
Boundary Layers on Sobolev–Besov Spaces and Poisson's Equation for the Laplacian in Lipschitz Domains
TL;DR: In this article, the authors studied inhomogeneous boundary value problems for the Laplacian in arbitrary Lipschitz domains with data in Sobolev-Besov spaces.
Journal ArticleDOI
Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds
TL;DR: In this paper, the authors considered the Dirichlet problem for the Hodge Laplacian and related operators on Lipschitz submanifolds of codimension one.
Journal ArticleDOI
Boundary layer methods for Lipschitz domains in Riemannian manifolds
Marius Mitrea,Michael Taylor +1 more
TL;DR: In this paper, the Laplace operator on Lipschitz domains in a manifold with C 1 metric tensor was treated and the Dirichlet, Neumann, and oblique derivative boundary problems were studied.
Journal ArticleDOI
Potential Theory on Lipschitz Domains in Riemannian Manifolds: Sobolev–Besov Space Results and the Poisson Problem
Marius Mitrea,Michael Taylor +1 more
TL;DR: In this article, the Laplace operator plus a potential on a Lipschitz domain in a Riemannian manifold with a metric tensor smooth of class C 1+ γ, for some γ > 0.