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Carlos Kenig - Publications

Affiliations: 
University of Minnesota, Twin Cities, Minneapolis, MN 
Area:
Mathematics
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63 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2019 Kenig C, Mendelson D. The Focusing Energy-Critical Nonlinear Wave Equation With Random Initial Data International Mathematics Research Notices. DOI: 10.1093/Imrn/Rnz174  0.381
2018 Duyckaerts T, Jia H, Kenig C, Merle F. Universality of blow up profile for small blow up solutions to the energy critical wave map equation International Mathematics Research Notices. 2018: 6961-7025. DOI: 10.1093/Imrn/Rnx073  0.426
2018 Kenig C, Prange C. Improved regularity in bumpy Lipschitz domains Journal De MathéMatiques Pures Et AppliquéEs. 113: 1-36. DOI: 10.1016/J.Matpur.2018.03.001  0.346
2017 Jia H, Kenig C. Asymptotic decomposition for semilinear Wave and equivariant wave map equations American Journal of Mathematics. 139: 1521-1603. DOI: 10.1353/Ajm.2017.0039  0.437
2017 Duyckaerts T, Jia H, Kenig C, Merle F. Soliton resolution along a sequence of times for the focusing energy critical wave equation Geometric and Functional Analysis. 27: 798-862. DOI: 10.1007/S00039-017-0418-7  0.427
2016 Bejenaru I, Ionescu A, Kenig C, Tataru D. Equivariant Schrödingermaps in two spatial dimensions: The H2 target Kyoto Journal of Mathematics. 56: 283-323. DOI: 10.1215/21562261-3478889  0.348
2015 Kenig C, Wang JN. Quantitative uniqueness estimates for second order elliptic equations with unbounded drift Mathematical Research Letters. 22: 1159-1175. DOI: 10.4310/Mrl.2015.V22.N4.A10  0.349
2015 Duyckaerts T, Kenig CE, Merle F. Profiles for bounded solutions of dispersive equations, with applications to energy-critical wave and schrodinger equations Communications On Pure and Applied Analysis. 14: 1275-1326. DOI: 10.3934/cpaa.2015.14.1275  0.393
2015 Duyckaerts T, Kenig C, Merle F. Concentration-compactness and universal profiles for the non-radial energy critical wave equation Nonlinear Analysis, Theory, Methods and Applications. DOI: 10.1016/J.Na.2015.12.027  0.411
2015 Duyckaerts T, Kenig C, Merle F. Global existence for solutions of the focusing wave equation with the compactness property Annales De L'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis. DOI: 10.1016/J.Anihpc.2015.08.002  0.437
2015 Kenig C, Lawrie A, Liu B, Schlag W. Channels of energy for the linear radial wave equation Advances in Mathematics. 285: 877-936. DOI: 10.1016/J.Aim.2015.08.014  0.402
2015 Kenig C, Lawrie A, Liu B, Schlag W. Stable soliton resolution for exterior wave maps in all equivariance classes Advances in Mathematics. 285: 235-300. DOI: 10.1016/J.Aim.2015.08.007  0.401
2015 Kenig C, Kirchheim B, Pipher J, Toro T. Square Functions and the A∞ Property of Elliptic Measures Journal of Geometric Analysis. DOI: 10.1007/S12220-015-9630-6  0.37
2015 Hofmann S, Kenig C, Mayboroda S, Pipher J. The regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients Mathematische Annalen. 361: 863-907. DOI: 10.1007/S00208-014-1087-6  0.375
2015 Kenig C, Prange C. Uniform Lipschitz Estimates in Bumpy Half-Spaces Archive For Rational Mechanics and Analysis. 216: 703-765. DOI: 10.1007/S00205-014-0818-X  0.334
2014 Kenig CE, Ponce G, Vega L. A theorem of paley-wiener type for schrödinger evolutions Annales Scientifiques De L'Ecole Normale Superieure. 47: 539-557. DOI: 10.24033/Asens.2221  0.322
2014 Duyckaerts T, Kenig C, Merle F. Scattering for radial, bounded solutions of focusing supercritical wave equations International Mathematics Research Notices. 2014: 224-258. DOI: 10.1093/Imrn/Rns227  0.483
2014 Côte R, Kenig CE, Schlag W. Energy partition for the linear radial wave equation Mathematische Annalen. 358: 573-607. DOI: 10.1007/S00208-013-0970-X  0.3
2014 Kenig C, Lin F, Shen Z. Periodic Homogenization of Green and Neumann Functions Communications On Pure and Applied Mathematics. 67: 1219-1262. DOI: 10.1002/Cpa.21482  0.371
2012 Duyckaerts T, Kenig C, Merle F. Universality of the blow-up profile for small type II blow-up solutions of the energy-critical wave equation: The nonradial case Journal of the European Mathematical Society. 14: 1389-1454. DOI: 10.4171/JEMS/336  0.35
2012 Kenig CE, Ponce G, Vega L. Lower bounds for non-trivial travelling wave solutions of equations of KdV type Nonlinearity. 25: 1235-1245. DOI: 10.1088/0951-7715/25/5/1235  0.338
2012 Duyckaerts T, Kenig C, Merle F. Profiles of bounded radial solutions of the focusing, energy-critical wave equation Geometric and Functional Analysis. 22: 639-698. DOI: 10.1007/S00039-012-0174-7  0.462
2012 Kenig C. Universal profiles and rigidity theorems for the energy critical wave equation Nonlinear Partial Differential Equations: the Abel Symposium 2010. 169-174. DOI: 10.1007/978-3-642-25361-4_8  0.315
2011 Duyckaerts T, Kenig C, Merle F. Universality of blow-up profile for small radial type II blow-up solutions of the energy-critical wave equation Journal of the European Mathematical Society. 13: 533-599. DOI: 10.4171/JEMS/261  0.373
2011 Kenig CE, Merle F. Radial solutions to energy supercritical wave equations in odd dimensions Discrete and Continuous Dynamical Systems. 31: 1365-1381. DOI: 10.3934/dcds.2011.31.1365  0.367
2011 Kenig CE, Salo M, Uhlmann G. Inverse problems for the anisotropic maxwell equations Duke Mathematical Journal. 157: 369-419. DOI: 10.1215/00127094-1272903  0.363
2011 Escauriaza L, Kenig CE, Ponce G, Vega L. Uncertainty principle of Morgan type and Schrödinger evolutions Journal of the London Mathematical Society. 83: 187-207. DOI: 10.1112/Jlms/Jdq072  0.333
2011 Kenig CE, Martel Y, Robbiano L. Local well-posedness and blow-up in the energy space for a class of L 2 critical dispersion generalized Benjamin-Ono equations Annales De L'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis. 28: 853-887. DOI: 10.1016/j.anihpc.2011.06.005  0.345
2011 Dindos M, Kenig C, Pipher J. BMO solvability and the A∞ condition for elliptic operators Journal of Geometric Analysis. 21: 78-95. DOI: 10.1007/S12220-010-9142-3  0.339
2011 Kenig C. Critical non-linear dispersive equations: Global existence, scattering, blow-up and universal profiles Japanese Journal of Mathematics. 6: 121-141. DOI: 10.1007/S11537-011-1108-0  0.411
2011 Escauriaza L, Kenig CE, Ponce G, Vega L. Unique Continuation for Schrödinger Evolutions, with Applications to Profiles of Concentration and Traveling Waves Communications in Mathematical Physics. 305: 487-512. DOI: 10.1007/S00220-011-1256-3  0.357
2011 Kenig CE, Merle F. Nondispersive radial solutions to energy supercritical non-linear wave equations, with applications American Journal of Mathematics. 133: 1029-1065.  0.391
2010 Escauriaza L, Kenig CE, Ponce G, Vega L. The sharp hardy uncertainty principle for schrödinger evolutions Duke Mathematical Journal. 155: 163-187. DOI: 10.1215/00127094-2010-053  0.304
2010 Alexandrou Himonas A, Kenig C, Gerard M. Non-uniform dependence for the periodic CH equation Communications in Partial Differential Equations. 35: 1145-1162. DOI: 10.1080/03605300903436746  0.35
2010 Cui S, Kenig CE. Weak continuity of dynamical systems for the KdV and mKdV equations Differential and Integral Equations. 23: 1001-1022.  0.308
2009 Kenig CE, Martel Y. Asymptotic stability of solitons for the Benjamin-Ono equation Revista Matematica Iberoamericana. 25: 909-970.  0.329
2008 Kenig CE, Merle F. Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation Acta Mathematica. 201: 147-212. DOI: 10.1007/s11511-008-0031-6  0.36
2008 Côte R, Kenig CE, Merle F. Scattering below critical energy for the radial 4D Yang-Mills equation and for the 2d corotational wave map system Communications in Mathematical Physics. 284: 203-225. DOI: 10.1007/s00220-008-0604-4  0.335
2008 Chanillo S, Kenig CE. Weak uniqueness and partial regularity for the composite membrane problem Journal of the European Mathematical Society. 10: 705-737.  0.323
2008 Escauriaza L, Kenig CE, Ponce G, Vega L. Convexity properties of solutions to the free schrödinger equation with Gaussian decay Mathematical Research Letters. 15: 957-971.  0.329
2006 Kenig C, Toro T. Free boundary regularity below the continuous threshold: 2-phase problems Journal Fur Die Reine Und Angewandte Mathematik. 1-44. DOI: 10.1515/Crelle.2006.050  0.322
2006 Kenig CE, Takaoka H. Global wellposedness of the modified Benjamin-Ono equation with initial data in H1/2 International Mathematics Research Notices. 2006. DOI: 10.1155/IMRN/2006/95702  0.309
2006 Kenig CE, Martel Y. Global well-posedness in the energy space for a modified KP II equation via the miura transform Transactions of the American Mathematical Society. 358: 2447-2488. DOI: 10.1090/S0002-9947-06-04072-4  0.336
2005 Kenig CE, Ziesler SN. Maximal function estimates with applications to a modified Kadomstev-Petviashvili equation Communications On Pure and Applied Analysis. 4: 45-91. DOI: 10.3934/cpaa.2005.4.45  0.317
2005 Kenig CE, Nahmod AR. The Cauchy problem for the hyperbolic-elliptic Ishimori system and Schrödinger maps Nonlinearity. 18: 1987-2009. DOI: 10.1088/0951-7715/18/5/007  0.344
2005 Ionescu AD, Kenig CE. Well-posedness and local smoothing of solutions of Schrödinger equations Mathematical Research Letters. 12: 193-205.  0.314
2004 Kenig CE, Ponce G, Vega L. The Cauchy problem for quasi-linear Schrödinger equations Inventiones Mathematicae. 158: 343-388. DOI: 10.1007/S00222-004-0373-4  0.3
2003 Colliander J, Kenig CE, Staffilani G. Low regularity solutions for the kadomtsev-petviashvilii equation Geometric and Functional Analysis. 13: 737-794. DOI: 10.1007/S00039-003-0429-4  0.423
2003 Kenig CE, Ponce G, Vega L. On the unique continuation of solutions to the generalized KdV equation Mathematical Research Letters. 10: 833-846.  0.308
2002 Caffarelli LA, Jerison D, Kenig CE. Some new monotonicity theorems with applications to free boundary problems Annals of Mathematics. 155: 369-404. DOI: 10.2307/3062121  0.328
2001 Kenig CE, Ponce G, Vega L. On the ill-posedness of some canonical dispersive equations Duke Mathematical Journal. 106: 617-633. DOI: 10.1215/S0012-7094-01-10638-8  0.332
2001 Kenig CE, Nadirashvili NS. On optimal estimates for some oblique derivative problems Journal of Functional Analysis. 187: 70-93. DOI: 10.1006/jfan.2001.3794  0.301
2001 Colliander JE, Delort JM, Kenig CE, Staffilani G. Bilinear estimates and applications to 2D NLS Transactions of the American Mathematical Society. 353: 3307-3325.  0.328
2000 Kenig C, Koch H, Pipher J, Toro T. A new approach to absolute continuity of elliptic measure, with applications to non-symmetric equations Advances in Mathematics. 153: 231-298. DOI: 10.1006/Aima.1999.1899  0.426
1998 Caffarelli LA, Kenig CE. Gradient estimates for variable coefficient parabolic equations and singular perturbation problems American Journal of Mathematics. 120: 391-439. DOI: 10.1353/Ajm.1998.0009  0.364
1998 Kenig C, Wang W. Existence of Local Smooth Solution for a Generalized Zakharov System Journal of Fourier Analysis and Applications. 4: 469-490. DOI: 10.1007/Bf02498221  0.337
1996 Kenig CE, Ponce G, Vega L. Quadratic forms for the 1-D semilinear Schrödinger equation Transactions of the American Mathematical Society. 348: 3223-3353.  0.309
1994 Kenig CE, Ponce G, Vega L. On the generalized benjamin-ono equation Transactions of the American Mathematical Society. 342: 155-172. DOI: 10.1090/S0002-9947-1994-1153015-4  0.332
1994 Kenig CE, Ponce G, Vega L. Higher-order nonlinear dispersive equations Proceedings of the American Mathematical Society. 122: 157-166. DOI: 10.1090/S0002-9939-1994-1195480-8  0.332
1993 Escauriaza L, Kenig CE. Area integral estimates for solutions and normalized adjoint solutions to nondivergence form elliptic equations Arkiv FöR Matematik. 31: 275-296. DOI: 10.1007/BF02559487  0.323
1988 Dahlberg BEJ, Kenig CE. Nonnegative solutions of the initial-dirichlet problem for generalized porous medium equations in cylinders Journal of the American Mathematical Society. 1: 401-412. DOI: 10.1090/S0894-0347-1988-0928264-9  0.33
1984 Dahlberg BEJ, Fabes EB, Kenig CE. A fatou theorem for solutions of the porous medium equation Proceedings of the American Mathematical Society. 91: 205-212. DOI: 10.1090/S0002-9939-1984-0740172-3  0.318
1982 Pabes EB, Kenig CE, Serapioni RP. The Local Regularity of Solutions of Degenerate Elliptic Equations Communications in Partial Differential Equations. 7: 77-116. DOI: 10.1080/03605308208820218  0.315
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