The Regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients

Steve Hofmann, Carlos Kenig, Svitlana Mayboroda +1

The Cauchy problem for Schrodinger flows into Kahler manifolds

Carlos Kenig, Daniel Pollack, Gigliola Staffilani +1

Channels of energy for the linear radial wave equation

Carlos Kenig, Andrew Lawrie, Baoping Liu +1

On Landis' conjecture in the plane when the potential has an exponentially decaying negative part

Blair Davey, Carlos Kenig, Jenn-Nan Wang

Improved Regularity in Bumpy Lipschitz Domains

Carlos Kenig, Christophe Prange

$L^p$ resolvent estimates for magnetic Schrödinger operators with unbounded background fields

Jean-Claude Cuenin, Carlos Kenig

Profiles of bounded radial solutions of the focusing, energy-critical wave equation

Thomas Duyckaerts, Carlos Kenig, Frank Merle

Scattering profile for global solutions of the energy-critical wave equation

Thomas Duyckaerts, Carlos Kenig, Frank Merle

Quantitative uniqueness estimates for second order elliptic equations with unbounded drift

Carlos Kenig, Jenn-Nan Wang

The focusing energy-critical nonlinear wave equation with random initial data

Carlos Kenig, Dana Mendelson

The paper proves that for the focusing energy‑critical quintic nonlinear wave equation in three dimensions, randomly perturbed radial initial data above a certain regularity lead,…

The Landis Conjecture for variable coefficient second-order elliptic PDES

Blair Davey, Carlos Kenig, Jenn-Nan Wang

Global well-posedness of the Benjamin-Ono equation in low-regularity spaces

Alexandru Ionescu, Carlos Kenig

Concentration-compactness and universal profiles for the non-radial energy critical wave equation

Thomas Duyckaerts, Carlos Kenig, Frank Merle

Universality of blow-up profile for small radial type II blow-up solutions of energy-critical wave equation

Thomas Duyckaerts, Carlos Kenig, Frank Merle

Characterization of large energy solutions of the equivariant wave map problem: I

Raphael Cote, Carlos Kenig, Andrew Lawrie +1

Asymptotic decomposition for semilinear wave and equivariant wave map equations

Hao Jia, Carlos Kenig

Relaxation of wave maps exterior to a ball to harmonic maps for all data

Carlos Kenig, Andrew Lawrie, Wilhelm Schlag

Square function/non-tangential maximal function estimates and the dirichlet problem for non-symmetric elliptic operators

Steve Hofmann, Carlos Kenig, Svitlana Mayboroda +1

Uniform Lipschitz Estimates in Bumpy Half-Spaces

Carlos Kenig, Christophe Prange

Characterization of large energy solutions of the equivariant wave map problem: II

Raphael Cote, Carlos Kenig, Andrew Lawrie +1

BMO solvability and the $A_\infty$ condition for elliptic operators

Martin Dindos, Carlos Kenig, Jill Pipher

Local well-posedness for the KdV hierarchy at high regularity

Carlos Kenig, Didier Pilod

Scattering for radial, bounded solutions of focusing supercritical wave equations

Thomas Duyckaerts, Carlos Kenig, Frank Merle

Stable soliton resolution for exterior wave maps in all equivariance classes

Carlos Kenig, Andrew Lawrie, Baoping Liu +1

The Cauchy problem for Schrödinger flows into Kähler manifolds

Carlos Kenig, Tobias Lamm, Daniel Pollack +2

Non-uniform dependence on initial data for the CH equation on the line

A. Alexandrou Himonas, Carlos Kenig

Soliton resolution along a sequence of times for the focusing energy critical wave equation

Thomas Duyckaerts, Hao Jia, Carlos Kenig +1

On Landis' conjecture in the plane

Carlos Kenig, Luis Silvestre, Jenn-Nan Wang

Global existence for solutions of the focusing wave equation with the compactness property

Thomas Duyckaerts, Carlos Kenig, Frank Merle

Universality of the blow-up profile for small type II blow-up solutions of energy-critical wave equation: the non-radial case

Thomas Duyckaerts, Carlos Kenig, Frank Merle

Layer Potential Methods for Elliptic Homogenization Problems

Carlos Kenig, Zhongwei Shen

Universality of blow up profile for small blow up solutions to the energy critical wave map equation

Thomas Duyckaerts, Hao Jia, Carlos Kenig +1

Determining a magnetic Schroedinger operator from partial Cauchy data

David Dos Santos Ferreira, Carlos Kenig, Johannes Sjoestrand +1

Energy partition for the linear radial wave equation

Raphael Cote, Carlos Kenig, Wilhelm Schlag

The Cauchy problem for the quasilinear Schrodinger equatio

Carlos Kenig

Construction of 2-peakon Solutions and Ill-Posedness for the Novikov equation

A. Alexandrou Himonas, Curtis Holliman, Carlos Kenig

Classification of radial solutions of the focusing, energy-critical wave equation

Thomas Duyckaerts, Carlos Kenig, Frank Merle