8 Result(s)

Chapter and Conference Paper

Restriction theorems, Carleman estimates, uniform Sobolev inequalities and unique continuation

Carlos E. Kenig in Harmonic Analysis and Partial Differential Equations (1989)

Chapter and Conference Paper

The initial value problem for a class of nonlinear dispersive equations

We consider the initial value problem for a (generalized) equation which arises in the study of propagation of unidirectional nonlinear, dispersive waves. The aim is to study the local and global well-posednes...

Carlos E. Kenig, Gustavo Ponce, Luis Vega in Functional-Analytic Methods for Partial Di… (1990)

Chapter

Potential theory of non-divergence form elliptic equations

Carlos E. Kenig in Dirichlet Forms (1993)

Article

A Liouville theorem for the viscous Burgers’s equation

Carlos E. Kenig, Frank Merle in Journal d'Analyse Mathématique (2002)

Chapter

Recent Progress on the Global Well-Posedness of the KPI Equation

In this chapter I survey the well-posedness theory for the Kadomtsev–Petviashvili (KPI) equation, culminating with the recent proof (joint with A. Ionescu and D. Tataru) of the global well-posedness of the KPI...

Carlos E. Kenig in Recent Developments in Real and Harmonic Analysis (2010)

Article

Relaxation of Wave Maps Exterior to a Ball to Harmonic Maps for All Data

In this paper we establish relaxation of an arbitrary 1-equivariant wave map from $${\mathbb{R}^{1+3}_{t,x}{\setminus} (\mathbb{R}\tim...

Carlos E. Kenig, Andrew Lawrie, Wilhelm Schlag in Geometric and Functional Analysis (2014)