644 citations
- Princeton Plasma Physics LaboratoryUS10 papers
- New York UniversityUS9 papers
- Courant Institute of Mathematical SciencesUS8 papers
- Centre National de la Recherche ScientifiqueFR7 papers
- Columbia UniversityUS7 papers
- Laboratoire de Physique ThéoriqueFR7 papers
- Johns Hopkins UniversityUS6 papers
- University of California, BerkeleyUS6 papers
- Tel Aviv UniversityIL5 papers
- University of British ColumbiaCA5 papers
- National High Magnetic Field LaboratoryUS4 papers
- Pennsylvania State UniversityUS4 papers
8 papers · 1 filter
Energy quantization and mean value inequalities for nonlinear boundary value problems
Katrin Wehrheim
We give a unified statement and proof of a class of wellknown mean value inequalities for nonnegative functions with a nonlinear bound on the Laplacian. We generalize these to doma…
Global Regularity for General Non-Linear Wave Equations I. (6+1) and Higher Dimensions
Jacob Sterbenz
We solve here the so called division problem for wave equations with generic quadratic non-linearities in high dimensions. Specifically, we show that semilinear wave equations whic…
Banach space valued Cauchy-Riemann equations with totally real boundary conditions
Katrin Wehrheim
The main purpose of this paper is to give a general regularity result for Cauchy-Riemann equations in complex Banach spaces with totally real boundary conditions. The usual ellipti…
The Singular Set of 1-1 Integral Currents
Tristan Riviere, Gang Tian
We prove that 2 dimensional Integral currents (i.e. integer multiplicity 2 dimensional rectifiable currents) which are almost complex cycles in an almost complex manifold admitting…
Sharp trace theorems for null hypersurfaces on Einstein metrics with finite curvature flux
Sergiu Klainerman, Igor Rodnianski
The main objective of the paper is to prove a geometric version of sharp trace and product estimates on null hypersurfaces with finite curvature flux. These estimates play a crucia…
The space of embedded minimal surfaces of fixed genus in a 3-manifold III; Planar domains
Tobias H. Colding, William P. Minicozzi
This paper is the third in a series where we describe the space of all embedded minimal surfaces of fixed genus in a fixed (but arbitrary) closed 3-manifold. In [CM3]-[CM5] we desc…