Camliyurt, Guher; Kenig, Carlos E. Scattering for radial bounded solutions of focusing supercritical wave equations in odd dimensions. (English) Zbl 07790964 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 236, Article ID 113352, 76 p. (2023). MSC: 35L71 35B07 35L15 35P25 PDFBibTeX XMLCite \textit{G. Camliyurt} and \textit{C. E. Kenig}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 236, Article ID 113352, 76 p. (2023; Zbl 07790964) Full Text: DOI arXiv
Kenig, Carlos E. On the work of Jean Bourgain in nonlinear dispersive equations. (English) Zbl 1511.35004 Avila, Artur (ed.) et al., Analysis at large. Dedicated to the life and work of Jean Bourgain. Cham: Springer. 233-251 (2022). MSC: 35-03 01A70 35Q55 37L50 PDFBibTeX XMLCite \textit{C. E. Kenig}, in: Analysis at large. Dedicated to the life and work of Jean Bourgain. Cham: Springer. 233--251 (2022; Zbl 1511.35004) Full Text: DOI
Duyckaerts, Thomas; Kenig, Carlos; Martel, Yvan; Merle, Frank Soliton resolution for critical co-rotational wave maps and radial cubic wave equation. (English) Zbl 1491.35292 Commun. Math. Phys. 391, No. 2, 779-871 (2022). Reviewer: Dongbing Zha (Shanghai) MSC: 35L71 35B40 35B44 35L15 35Q55 PDFBibTeX XMLCite \textit{T. Duyckaerts} et al., Commun. Math. Phys. 391, No. 2, 779--871 (2022; Zbl 1491.35292) Full Text: DOI arXiv
Kenig, Carlos E. On the work of Jean Bourgain in nonlinear dispersive equations. (English) Zbl 1462.35335 Bull. Am. Math. Soc., New Ser. 58, No. 2, 173-189 (2021). MSC: 35Q53 35Q55 35-03 01A70 PDFBibTeX XMLCite \textit{C. E. Kenig}, Bull. Am. Math. Soc., New Ser. 58, No. 2, 173--189 (2021; Zbl 1462.35335) Full Text: DOI
Kenig, Carlos E. Asymptotic simplification for solutions of the energy critical nonlinear wave equation. (English) Zbl 1464.35032 J. Math. Phys. 62, No. 1, Article ID 011502, 7 p. (2021). MSC: 35B40 35L15 35L70 PDFBibTeX XMLCite \textit{C. E. Kenig}, J. Math. Phys. 62, No. 1, Article ID 011502, 7 p. (2021; Zbl 1464.35032) Full Text: DOI
Kenig, C. E.; Pilod, D.; Ponce, G.; Vega, L. On the unique continuation of solutions to non-local non-linear dispersive equations. (English) Zbl 1451.35164 Commun. Partial Differ. Equations 45, No. 8, 872-886 (2020). MSC: 35Q53 35B05 35R11 26A33 PDFBibTeX XMLCite \textit{C. E. Kenig} et al., Commun. Partial Differ. Equations 45, No. 8, 872--886 (2020; Zbl 1451.35164) Full Text: DOI arXiv
Kenig, C. E.; Ponce, G.; Vega, L. Uniqueness properties of solutions to the Benjamin-Ono equation and related models. (English) Zbl 1433.35339 J. Funct. Anal. 278, No. 5, Article ID 108396, 14 p. (2020). MSC: 35Q53 35B05 35Q35 76B15 35A02 PDFBibTeX XMLCite \textit{C. E. Kenig} et al., J. Funct. Anal. 278, No. 5, Article ID 108396, 14 p. (2020; Zbl 1433.35339) Full Text: DOI arXiv
Kenig, Carlos; Prange, Christophe Improved regularity in bumpy Lipschitz domains. (English) Zbl 1397.35091 J. Math. Pures Appl. (9) 113, 1-36 (2018). Reviewer: Michael Perelmuter (Kyïv) MSC: 35J47 35J57 35B65 35B27 PDFBibTeX XMLCite \textit{C. Kenig} and \textit{C. Prange}, J. Math. Pures Appl. (9) 113, 1--36 (2018; Zbl 1397.35091) Full Text: DOI arXiv
Côte, R.; Kenig, C. E.; Lawrie, A.; Schlag, W. Profiles for the radial focusing \(4d\) energy-critical wave equation. (English) Zbl 1404.35294 Commun. Math. Phys. 357, No. 3, 943-1008 (2018). Reviewer: Chengbo Wang (Hangzhou) MSC: 35L71 35B40 35L15 PDFBibTeX XMLCite \textit{R. Côte} et al., Commun. Math. Phys. 357, No. 3, 943--1008 (2018; Zbl 1404.35294) Full Text: DOI arXiv
Duyckaerts, Thomas; Jia, Hao; Kenig, Carlos; Merle, Frank Soliton resolution along a sequence of times for the focusing energy critical wave equation. (English) Zbl 1391.35276 Geom. Funct. Anal. 27, No. 4, 798-862 (2017). MSC: 35L71 35B44 35B45 PDFBibTeX XMLCite \textit{T. Duyckaerts} et al., Geom. Funct. Anal. 27, No. 4, 798--862 (2017; Zbl 1391.35276) Full Text: DOI arXiv
Kenig, Carlos The focusing energy-critical wave equation. (English) Zbl 1373.35183 Chanillo, Sagun (ed.) et al., Harmonic analysis, partial differential equations and applications. In honor of Richard L. Wheeden. Basel: Birkhäuser/Springer (ISBN 978-3-319-52741-3/hbk; 978-3-319-52742-0/ebook). Applied and Numerical Harmonic Analysis, 97-107 (2017). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35L15 35L71 35C08 35B40 PDFBibTeX XMLCite \textit{C. Kenig}, in: Harmonic analysis, partial differential equations and applications. In honor of Richard L. Wheeden. Basel: Birkhäuser/Springer. 97--107 (2017; Zbl 1373.35183) Full Text: DOI
Bejenaru, Ioan; Ionescu, Alexandru; Kenig, Carlos; Tataru, Daniel Equivariant Schrödinger maps in two spatial dimensions: the \(\mathbb{H}^2\) target. (English) Zbl 1370.35235 Kyoto J. Math. 56, No. 2, 283-323 (2016). MSC: 35Q41 35B65 PDFBibTeX XMLCite \textit{I. Bejenaru} et al., Kyoto J. Math. 56, No. 2, 283--323 (2016; Zbl 1370.35235) Full Text: DOI arXiv Euclid
Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank Concentration-compactness and universal profiles for the non-radial energy critical wave equation. (English) Zbl 1339.35186 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 138, 44-82 (2016). MSC: 35L71 35L15 PDFBibTeX XMLCite \textit{T. Duyckaerts} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 138, 44--82 (2016; Zbl 1339.35186) Full Text: DOI arXiv
Duyckaerts, Thomas; Kenig, Carlos E.; Merle, Frank Profiles for bounded solutions of dispersive equations, with applications to energy-critical wave and Schrödinger equations. (English) Zbl 1320.35066 Commun. Pure Appl. Anal. 14, No. 4, 1275-1326 (2015). MSC: 35B40 35L71 35Q55 35B44 35C08 PDFBibTeX XMLCite \textit{T. Duyckaerts} et al., Commun. Pure Appl. Anal. 14, No. 4, 1275--1326 (2015; Zbl 1320.35066) Full Text: DOI arXiv
Kenig, Carlos; Prange, Christophe Uniform Lipschitz estimates in bumpy half-spaces. (English) Zbl 1317.35043 Arch. Ration. Mech. Anal. 216, No. 3, 703-765 (2015). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35J25 35B27 35J08 PDFBibTeX XMLCite \textit{C. Kenig} and \textit{C. Prange}, Arch. Ration. Mech. Anal. 216, No. 3, 703--765 (2015; Zbl 1317.35043) Full Text: DOI arXiv
Hofmann, Steve; Kenig, Carlos; Mayboroda, Svitlana; Pipher, Jill The regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients. (English) Zbl 1325.42028 Math. Ann. 361, No. 3-4, 863-907 (2015). Reviewer: Pierre Portal (Canberra) MSC: 42B37 35J25 42B25 PDFBibTeX XMLCite \textit{S. Hofmann} et al., Math. Ann. 361, No. 3--4, 863--907 (2015; Zbl 1325.42028) Full Text: DOI arXiv
Kenig, Carlos E. The concentration-compactness rigidity method for critical dispersive and wave equations. (English) Zbl 1284.35289 Cabré, Xavier (ed.) et al., Nonlinear partial differential equations. Lecture notes from the school on topics in PDE’s and applications, Granada and Barcelona, Spain, 2008. Basel: Birkhäuser (ISBN 978-3-0348-0190-4/pbk; 978-3-0348-0191-1/ebook). Advanced Courses in Mathematics - CRM Barcelona, 117-149 (2012). Reviewer: Satyanad Kichenassamy (Reims) MSC: 35L71 35B44 PDFBibTeX XMLCite \textit{C. E. Kenig}, in: Nonlinear partial differential equations. Lecture notes from the school on topics in PDE's and applications, Granada and Barcelona, Spain, 2008. Basel: Birkhäuser. 117--149 (2012; Zbl 1284.35289) Full Text: DOI
Kenig, Carlos Critical non-linear dispersive equations: global existence, scattering, blow-up and universal profiles. (English) Zbl 1270.35071 Jpn. J. Math. (3) 6, No. 2, 121-141 (2011). Reviewer: Dmitry Pelinovsky (Hamilton) MSC: 35B33 35L52 35Q53 35Q55 35B44 PDFBibTeX XMLCite \textit{C. Kenig}, Jpn. J. Math. (3) 6, No. 2, 121--141 (2011; Zbl 1270.35071) Full Text: DOI
Kenig, Carlos E.; Koch, Gabriel S. An alternative approach to regularity for the Navier-Stokes equations in critical spaces. (English) Zbl 1220.35119 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 28, No. 2, 159-187 (2011). Reviewer: Keisuke Uchikoshi (Yokosuka) MSC: 35Q30 35B65 76D05 76D03 PDFBibTeX XMLCite \textit{C. E. Kenig} and \textit{G. S. Koch}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 28, No. 2, 159--187 (2011; Zbl 1220.35119) Full Text: DOI arXiv