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  1. No Access

    Article

    On the Hardy spaceH 1 of aC 1 domain

    Eugene B. Fabes, Carlos E. Kenig in Arkiv för Matematik (1981)

  2. No Access

    Chapter and Conference Paper

    A note on the almost everywhere behavior of solutions to the Schrödinger equation

    Bjorn E. J. Dahlberg, Carlos E. Kenig in Harmonic Analysis (1982)

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    Article

    The local hull of holomorphy of a surface in the space of two complex variables

    Carlos E. Kenig, Sidney M. Webster in Inventiones mathematicae (1982)

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    Article

    Area integral estimates for elliptic differential operators with non-smooth coefficients

    Björn E. J. Dahlberg, David S. Jerison, Carlos E. Kenig in Arkiv för Matematik (1984)

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    Chapter

    Continuation Theorems for Schrodinger Operators

    The purpose of this note is to describe the connection between quantum physics, the absence of positive eigenvalues for Schrödinger operators, and unique continuation theorems for Schrödinger operators. We sha...

    Carlos E. Kenig in Metastability and Incompletely Posed Problems (1987)

  6. No Access

    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)

  7. Article

    The h-path distribution of the lifetime of conditioned brownian motion for non-smooth domains

    Consider the h-paths of Doob, and let τD be the lifetime of Brownian motion killed at ∂D, where D is a bounded Lipschitz (or NTA) domain in ℝn. then, ...

    Carlos E. Kenig, Jill Pipher in Probability Theory and Related Fields (1989)

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    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)

  9. No Access

    Chapter

    Potential theory of non-divergence form elliptic equations

    Carlos E. Kenig in Dirichlet Forms (1993)

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    Article

    The neumann problem for elliptic equations with non-smooth coefficients

    Carlos E. Kenig, Jill Pipher in Inventiones mathematicae (1993)

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    Chapter

    On the Hierarchy of the Generalized KdV Equations

    We consider a sequence of one-dimensional dispersive equations. These equations contain the KdV hierarchy as well as several higher order models arising in both physics and mathematics. We obtain conditions wh...

    Carlos E. Kenig, Gustavo Ponce, Luis Vega in Singular Limits of Dispersive Waves (1994)

  12. No Access

    Article

    Flatness of domains and doubling properties of measures supported on their boundary, with applications to harmonic measure

    Carlos E. Kenig in Journal of Fourier Analysis and Applications (1997)

  13. No Access

    Article

    Local well-posedness for higher order nonlinear dispersive systems

    We study nonlinear dispersive systems of the form $$\partial _t u_k + \partial _x^{(2j + 1)} uk + P_k (u_l , \ldots u_n , \ldots ,\pa...

    Carlos E. Kenig, Gigliola Staffilani in Journal of Fourier Analysis and Applications (1997)

  14. No Access

    Article

    A Note on Boundary Unique Contination for Harmonic Functions in Non-Smooth Domains

    In this note, we prove the boundary unique continuation property for harmonic function dfined on convex domain

    Carlos E. Kenig, Wensheng Wang in Potential Analysis (1998)

  15. No Access

    Article

    The absolute continuity of elliptic measure revisited

    Carlos E. Kenig, Jill Pipher in Journal of Fourier Analysis and Applications (1998)

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    Article

    Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations

    Carlos E. Kenig, Gustavo Ponce, Luis Vega in Inventiones mathematicae (1998)

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    Article

    A Liouville theorem for the viscous Burgers’s equation

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

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    Article

    On the Interaction of Nearly Parallel Vortex Filaments

    The system for the interaction of nearly parallel vortex filaments deduced by Klein, Majda and Damodaran is considered. Local existence for the associated initial value problem with data which are small pertur...

    Carlos E. Kenig, Gustavo Ponce, Luis Vega in Communications in Mathematical Physics (2003)

  19. No Access

    Article

    L p Carleman inequalities and uniqueness of solutions of nonlinear Schrödinger equations

    Alexandru D. Ionescu, Carlos E. Kenig in Acta Mathematica (2004)

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    Article

    The Cauchy problem for quasi-linear Schrödinger equations

    Carlos E. Kenig, Gustavo Ponce, Luis Vega in Inventiones mathematicae (2004)

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