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
Davey, Blair; Kenig, Carlos; Wang, Jenn-Nan Improved quantitative unique continuation for complex-valued drift equations in the plane. (English) Zbl 1503.35080 Forum Math. 34, No. 6, 1641-1661 (2022). Reviewer: Mariana Vega Smit (Bellingham) MSC: 35J47 35J10 35J05 PDFBibTeX XMLCite \textit{B. Davey} et al., Forum Math. 34, No. 6, 1641--1661 (2022; Zbl 1503.35080) Full Text: DOI arXiv
Kenig, Carlos; Zhao, Zihui Boundary unique continuation on \(C^1\)-dini domains and the size of the singular set. (English) Zbl 07549417 Arch. Ration. Mech. Anal. 245, No. 1, 1-88 (2022); correction ibid. 245, No. 1, 373-374 (2022). MSC: 31Bxx 35Jxx 35Bxx PDFBibTeX XMLCite \textit{C. Kenig} and \textit{Z. Zhao}, Arch. Ration. Mech. Anal. 245, No. 1, 1--88 (2022; Zbl 07549417) 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
Davey, B.; Kenig, C.; Wang, J.-N. On Landis’ conjecture in the plane when the potential has an exponentially decaying negative part. (English) Zbl 1439.35109 St. Petersbg. Math. J. 31, No. 2, 337-353 (2020) and Algebra Anal. 31, No. 2, 204-226 (2019). Reviewer: Zhipeng Yang (Göttingen) MSC: 35B60 35J10 35B40 35B45 PDFBibTeX XMLCite \textit{B. Davey} et al., St. Petersbg. Math. J. 31, No. 2, 337--353 (2020; Zbl 1439.35109) 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
Duyckaerts, Thomas; Kenig, Carlos E.; Merle, Frank Scattering profile for global solutions of the energy-critical wave equation. (English) Zbl 1437.35497 J. Eur. Math. Soc. (JEMS) 21, No. 7, 2117-2162 (2019). MSC: 35L71 35L15 35B33 35B40 PDFBibTeX XMLCite \textit{T. Duyckaerts} et al., J. Eur. Math. Soc. (JEMS) 21, No. 7, 2117--2162 (2019; Zbl 1437.35497) Full Text: DOI arXiv
Kenig, Carlos; Wang, Jenn-Nan Unique continuation for the elasticity system and a counterexample for second-order elliptic systems. (English) Zbl 1408.35028 Pereyra, María Cristina (ed.) et al., Harmonic analysis, partial differential equations, complex analysis, Banach spaces, and operator theory. Volume 1. Celebrating Cora Sadosky’s life. Cham: Springer. Assoc. Women Math. Ser. 4, 159-178 (2016). Reviewer: Mariana Vega Smit (Bellingham) MSC: 35J47 35B60 PDFBibTeX XMLCite \textit{C. Kenig} and \textit{J.-N. Wang}, Assoc. Women Math. Ser. 4, 159--178 (2016; Zbl 1408.35028) Full Text: DOI
Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank Global existence for solutions of the focusing wave equation with the compactness property. (English) Zbl 1362.35190 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33, No. 6, 1675-1690 (2016). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35L71 35L05 35L15 35Q55 35C06 PDFBibTeX XMLCite \textit{T. Duyckaerts} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33, No. 6, 1675--1690 (2016; Zbl 1362.35190) Full Text: DOI arXiv
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
Kenig, Carlos; Lawrie, Andrew; Liu, Baoping; Schlag, Wilhelm Stable soliton resolution for exterior wave maps in all equivariance classes. (English) Zbl 1331.35076 Adv. Math. 285, 235-300 (2015). MSC: 35C08 PDFBibTeX XMLCite \textit{C. Kenig} et al., Adv. Math. 285, 235--300 (2015; Zbl 1331.35076) 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.; Lawrie, Andrew; Schlag, Wilhelm Relaxation of wave maps exterior to a ball to harmonic maps for all data. (English) Zbl 1288.35356 Geom. Funct. Anal. 24, No. 2, 610-647 (2014). MSC: 35L71 35C08 35L20 PDFBibTeX XMLCite \textit{C. E. Kenig} et al., Geom. Funct. Anal. 24, No. 2, 610--647 (2014; Zbl 1288.35356) Full Text: DOI arXiv
Kenig, Carlos E.; Lin, Fanghua; Shen, Zhongwei Homogenization of elliptic systems with Neumann boundary conditions. (English) Zbl 1277.35166 J. Am. Math. Soc. 26, No. 4, 901-937 (2013). Reviewer: Adrian Muntean (Eindhoven) MSC: 35J57 35B27 PDFBibTeX XMLCite \textit{C. E. Kenig} et al., J. Am. Math. Soc. 26, No. 4, 901--937 (2013; Zbl 1277.35166) Full Text: DOI arXiv
Carbery, A.; Kenig, C. E.; Ziesler, S. N. Restriction for homogeneous polynomial surfaces in \(\mathbb R^3\). (English) Zbl 1273.42008 Trans. Am. Math. Soc. 365, No. 5, 2367-2407 (2013). Reviewer: Elijah Liflyand (Ramat-Gan) MSC: 42B10 53A05 42B99 42B25 PDFBibTeX XMLCite \textit{A. Carbery} et al., Trans. Am. Math. Soc. 365, No. 5, 2367--2407 (2013; Zbl 1273.42008) 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
Escauriaza, L.; Kenig, C. E.; Ponce, G.; Vega, L. Uniqueness properties of solutions to Schrödinger equations. (English) Zbl 1268.35112 Bull. Am. Math. Soc., New Ser. 49, No. 3, 415-442 (2012). Reviewer: Andrew Pickering (Madrid) MSC: 35Q55 35A02 PDFBibTeX XMLCite \textit{L. Escauriaza} et al., Bull. Am. Math. Soc., New Ser. 49, No. 3, 415--442 (2012; Zbl 1268.35112) Full Text: DOI
Duyckaerts, Thomas; Kenig, Carlos E.; Merle, Frank Universality of the blow-up profile for small type II blow-up solutions of the energy-critical wave equation: the nonradial case. (English) Zbl 1282.35088 J. Eur. Math. Soc. (JEMS) 14, No. 5, 1389-1454 (2012). Reviewer: Marcelo M. Cavalcanti (Maringá) MSC: 35B44 35L71 35B33 PDFBibTeX XMLCite \textit{T. Duyckaerts} et al., J. Eur. Math. Soc. (JEMS) 14, No. 5, 1389--1454 (2012; Zbl 1282.35088) Full Text: DOI arXiv
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.; Shen, Zhongwei Homogenization of elliptic boundary value problems in Lipschitz domains. (English) Zbl 1223.35139 Math. Ann. 350, No. 4, 867-917 (2011). MSC: 35J25 35B27 PDFBibTeX XMLCite \textit{C. E. Kenig} and \textit{Z. Shen}, Math. Ann. 350, No. 4, 867--917 (2011; Zbl 1223.35139) Full Text: DOI arXiv
Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther Inverse problems for the anisotropic Maxwell equations. (English) Zbl 1226.35086 Duke Math. J. 157, No. 2, 369-419 (2011). Reviewer: Sönke Hansen (Paderborn) MSC: 35R30 35Q61 PDFBibTeX XMLCite \textit{C. E. Kenig} et al., Duke Math. J. 157, No. 2, 369--419 (2011; Zbl 1226.35086) Full Text: DOI arXiv
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
Dindos, Martin; Kenig, Carlos; Pipher, Jill BMO solvability and the \(A_{\infty}\) condition for elliptic operators. (English) Zbl 1215.42029 J. Geom. Anal. 21, No. 1, 78-95 (2011). Reviewer: Lubomira Softova (Aversa) MSC: 42B37 35J25 PDFBibTeX XMLCite \textit{M. Dindos} et al., J. Geom. Anal. 21, No. 1, 78--95 (2011; Zbl 1215.42029) Full Text: DOI arXiv
Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank Universality of blow-up profile for small radial type II blow-up solutions of the energy-critical wave equation. (English) Zbl 1230.35067 J. Eur. Math. Soc. (JEMS) 13, No. 3, 533-599 (2011). Reviewer: Pavol Quittner (Bratislava) MSC: 35L71 35B44 PDFBibTeX XMLCite \textit{T. Duyckaerts} et al., J. Eur. Math. Soc. (JEMS) 13, No. 3, 533--599 (2011; Zbl 1230.35067) Full Text: DOI arXiv
Cui, Shangbin; Kenig, Carlos E. Weak continuity of the flow map for the Benjamin-Ono equation on the line. (English) Zbl 1223.35272 J. Fourier Anal. Appl. 16, No. 6, 1021-1052 (2010). Reviewer: Mats Ehrnström (Hannover) MSC: 35Q53 35B30 PDFBibTeX XMLCite \textit{S. Cui} and \textit{C. E. Kenig}, J. Fourier Anal. Appl. 16, No. 6, 1021--1052 (2010; Zbl 1223.35272) Full Text: DOI arXiv
Kenig, C.; Preiss, D.; Toro, T. Boundary structure and size in terms of interior and exterior harmonic measures in higher dimensions. (English) Zbl 1206.28002 J. Am. Math. Soc. 22, No. 3, 771-796 (2009). MSC: 28A33 28A75 31A15 PDFBibTeX XMLCite \textit{C. Kenig} et al., J. Am. Math. Soc. 22, No. 3, 771--796 (2009; Zbl 1206.28002) Full Text: DOI arXiv
Kenig, Carlos E.; Martel, Yvan Asymptotic stability of solitons for the Benjamin-Ono equation. (English) Zbl 1247.35133 Rev. Mat. Iberoam. 25, No. 3, 909-970 (2009). Reviewer: Jerzy Gawinecki (Warszawa) MSC: 35Q53 35Q51 35B40 35C08 35B35 PDFBibTeX XMLCite \textit{C. E. Kenig} and \textit{Y. Martel}, Rev. Mat. Iberoam. 25, No. 3, 909--970 (2009; Zbl 1247.35133) Full Text: DOI arXiv Euclid
Kenig, Carlos E.; Rule, David J. The regularity and Neumann problem for non-symmetric elliptic operators. (English) Zbl 1178.35155 Trans. Am. Math. Soc. 361, No. 1, 125-160 (2009). Reviewer: Maria Alessandra Ragusa (Catania) MSC: 35J25 31A25 PDFBibTeX XMLCite \textit{C. E. Kenig} and \textit{D. J. Rule}, Trans. Am. Math. Soc. 361, No. 1, 125--160 (2009; Zbl 1178.35155) Full Text: DOI arXiv
Kenig, Carlos E.; Merle, Frank Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation. (English) Zbl 1183.35202 Acta Math. 201, No. 2, 147-212 (2008). Reviewer: Marie Kopáčková (Praha) MSC: 35L71 35L15 35B44 35A01 PDFBibTeX XMLCite \textit{C. E. Kenig} and \textit{F. Merle}, Acta Math. 201, No. 2, 147--212 (2008; Zbl 1183.35202) Full Text: DOI arXiv
dos Santos Ferreira, David; Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther Determining a magnetic Schrödinger operator from partial Cauchy data. (English) Zbl 1148.35096 Commun. Math. Phys. 271, No. 2, 467-488 (2007). Reviewer: Nils Ackermann (México) MSC: 35R30 35J10 78A46 78A05 92C55 PDFBibTeX XMLCite \textit{D. dos Santos Ferreira} et al., Commun. Math. Phys. 271, No. 2, 467--488 (2007; Zbl 1148.35096) Full Text: DOI arXiv
Karakhanyan, A. L.; Kenig, C. E.; Shahgholian, H. The behavior of the free boundary near the fixed boundary for a minimization problem. (English) Zbl 1111.35135 Calc. Var. Partial Differ. Equ. 28, No. 1, 15-31 (2007). Reviewer: Dian K. Palagachev (Bari) MSC: 35R35 49Q10 35B65 76S05 74M15 PDFBibTeX XMLCite \textit{A. L. Karakhanyan} et al., Calc. Var. Partial Differ. Equ. 28, No. 1, 15--31 (2007; Zbl 1111.35135) Full Text: DOI
Kenig, Carlos E.; Toro, Tatiana Poisson kernel characterization of Reifenberg flat chord arc domains. (English) Zbl 1027.31005 Ann. Sci. Éc. Norm. Supér. (4) 36, No. 3, 323-401 (2003). Reviewer: Dian K.Palagachev (Bari) MSC: 31C05 35R35 31B25 PDFBibTeX XMLCite \textit{C. E. Kenig} and \textit{T. Toro}, Ann. Sci. Éc. Norm. Supér. (4) 36, No. 3, 323--401 (2003; Zbl 1027.31005) Full Text: DOI Numdam EuDML
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis On the ill-posedness of some canonical dispersive equations. (English) Zbl 1034.35145 Duke Math. J. 106, No. 3, 617-633 (2001). Reviewer: Viorel Iftimie (Bucureşti) MSC: 35R25 35B30 35Q51 35Q53 PDFBibTeX XMLCite \textit{C. E. Kenig} et al., Duke Math. J. 106, No. 3, 617--633 (2001; Zbl 1034.35145) Full Text: DOI
Kenig, Carlos E.; Nadirashvili, Nikolai S. On optimal estimates for some oblique derivative problems. (English) Zbl 1211.35058 J. Funct. Anal. 187, No. 1, 70-93 (2001). MSC: 35B45 35B65 35J25 PDFBibTeX XMLCite \textit{C. E. Kenig} and \textit{N. S. Nadirashvili}, J. Funct. Anal. 187, No. 1, 70--93 (2001; Zbl 1211.35058) Full Text: DOI
Colliander, J. E.; Delort, J.-M.; Kenig, C. E.; Staffilani, G. Bilinear estimates and applications to 2d NLS. (English) Zbl 0970.35142 Trans. Am. Math. Soc. 353, No. 8, 3307-3325 (2001). MSC: 35Q55 42B35 PDFBibTeX XMLCite \textit{J. E. Colliander} et al., Trans. Am. Math. Soc. 353, No. 8, 3307--3325 (2001; Zbl 0970.35142) Full Text: DOI
Kenig, C.; Koch, H.; Pipher, J.; Toro, T. A new approach to absolute continuity of elliptic measure, with applications to non-symmetric equations. (English) Zbl 0958.35025 Adv. Math. 153, No. 2, 231-298 (2000). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 35J15 35R05 46E30 PDFBibTeX XMLCite \textit{C. Kenig} et al., Adv. Math. 153, No. 2, 231--298 (2000; Zbl 0958.35025) Full Text: DOI
Kenig, Carlos E.; Pipher, Jill The absolute continuity of elliptic measure revisited. (English) Zbl 0922.31007 J. Fourier Anal. Appl. 4, No. 4-5, 463-468 (1998). Reviewer: D.H.Armitage (Belfast) MSC: 31B25 35J25 PDFBibTeX XMLCite \textit{C. E. Kenig} and \textit{J. Pipher}, J. Fourier Anal. Appl. 4, No. 4--5, 463--468 (1998; Zbl 0922.31007) Full Text: DOI EuDML
Kenig, Carlos E. Flatness of domains and doubling properties of measures supported on their boundary, with applications to harmonic measure. (English) Zbl 0895.35022 J. Fourier Anal. Appl. 3, Spec. Iss., 923-931 (1997). MSC: 35J05 31B25 28C15 PDFBibTeX XMLCite \textit{C. E. Kenig}, J. Fourier Anal. Appl. 3, 923--931 (1997; Zbl 0895.35022) Full Text: DOI EuDML
Dahlberg, Björn E. J.; Kenig, C. E.; Pipher, J.; Verchota, G. C. Area integral estimates for higher order elliptic equations and systems. (English) Zbl 0892.35053 Ann. Inst. Fourier 47, No. 5, 1425-1461 (1997). Reviewer: G.Gussi (Bucureşti) MSC: 35J40 42B25 35J55 PDFBibTeX XMLCite \textit{B. E. J. Dahlberg} et al., Ann. Inst. Fourier 47, No. 5, 1425--1461 (1997; Zbl 0892.35053) Full Text: DOI Numdam EuDML
Kenig, Carlos E.; Toro, Tatiana Harmonic measure on locally flat domains. (English) Zbl 0878.31002 Duke Math. J. 87, No. 3, 509-551 (1997). Reviewer: S.L.Kalpazidou (Thessaloniki) MSC: 31B25 28C15 PDFBibTeX XMLCite \textit{C. E. Kenig} and \textit{T. Toro}, Duke Math. J. 87, No. 3, 509--551 (1997; Zbl 0878.31002) Full Text: DOI
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis Higher-order nonlinear dispersive equations. (English) Zbl 0810.35122 Proc. Am. Math. Soc. 122, No. 1, 157-166 (1994). MSC: 35Q55 35G25 35Q53 35D99 PDFBibTeX XMLCite \textit{C. E. Kenig} et al., Proc. Am. Math. Soc. 122, No. 1, 157--166 (1994; Zbl 0810.35122) Full Text: DOI
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis On the generalized Benjamin-Ono equation. (English) Zbl 0804.35105 Trans. Am. Math. Soc. 342, No. 1, 155-172 (1994). Reviewer: Y.Kivshar (Canberra) MSC: 35Q30 35G25 35D99 PDFBibTeX XMLCite \textit{C. E. Kenig} et al., Trans. Am. Math. Soc. 342, No. 1, 155--172 (1994; Zbl 0804.35105) Full Text: DOI
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis Well-posedness and scattering results for the generalized Korteweg-de Vries equation via the contraction principle. (English) Zbl 0808.35128 Commun. Pure Appl. Math. 46, No. 4, 527-620 (1993). Reviewer: B.A.Malomed (Ramat Aviv) MSC: 35Q53 35P25 35A05 35B45 PDFBibTeX XMLCite \textit{C. E. Kenig} et al., Commun. Pure Appl. Math. 46, No. 4, 527--620 (1993; Zbl 0808.35128) Full Text: DOI Backlinks: MO
Escauriaza, L.; Kenig, C. E. Area integral estimates for solutions and normalized adjoint solutions to nondivergence form elliptic equations. (English) Zbl 0793.35024 Ark. Mat. 31, No. 2, 275-296 (1993). MSC: 35J25 35B45 PDFBibTeX XMLCite \textit{L. Escauriaza} and \textit{C. E. Kenig}, Ark. Mat. 31, No. 2, 275--296 (1993; Zbl 0793.35024) Full Text: DOI
Kenig, Carlos E.; Pipher, Jill The Neumann problem for elliptic equations with non-smooth coefficients. (English) Zbl 0807.35030 Invent. Math. 113, No. 3, 447-509 (1993). Reviewer: N.V.Jitarasu (Chisinau) MSC: 35J25 35D05 35D10 35J67 PDFBibTeX XMLCite \textit{C. E. Kenig} and \textit{J. Pipher}, Invent. Math. 113, No. 3, 447--509 (1993; Zbl 0807.35030) Full Text: DOI EuDML
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis Small solutions to nonlinear Schrödinger equations. (English) Zbl 0786.35121 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 10, No. 3, 255-288 (1993). Reviewer: B.A.Malomed (Ramat Aviv) MSC: 35Q55 35A07 35B45 PDFBibTeX XMLCite \textit{C. E. Kenig} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 10, No. 3, 255--288 (1993; Zbl 0786.35121) Full Text: DOI Numdam EuDML
Dahlberg, Björn E. J.; Kenig, Carlos E. Weak solutions of the porous medium equation. (English) Zbl 0775.35002 Trans. Am. Math. Soc. 336, No. 2, 711-725 (1993). Reviewer: A. Canada (Granada) MSC: 35K55 PDFBibTeX XMLCite \textit{B. E. J. Dahlberg} and \textit{C. E. Kenig}, Trans. Am. Math. Soc. 336, No. 2, 711--725 (1993; Zbl 0775.35002) Full Text: DOI
Dahlberg, Björn E. J.; Kenig, Carlos E. Weak solutions of the porous medium equation in a cylinder. (English) Zbl 0788.35020 Trans. Am. Math. Soc. 336, No. 2, 701-709 (1993). Reviewer: A.Cañada (Granada) MSC: 35D10 35K60 PDFBibTeX XMLCite \textit{B. E. J. Dahlberg} and \textit{C. E. Kenig}, Trans. Am. Math. Soc. 336, No. 2, 701--709 (1993; Zbl 0788.35020) Full Text: DOI
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis Well-posedness of the initial value problem for the Korteweg-de Vries equation. (English) Zbl 0737.35102 J. Am. Math. Soc. 4, No. 2, 323-347 (1991). Reviewer: P.K.Mahanti (Ranchi) MSC: 35Q53 35G25 35D99 PDFBibTeX XMLCite \textit{C. E. Kenig} et al., J. Am. Math. Soc. 4, No. 2, 323--347 (1991; Zbl 0737.35102) Full Text: DOI
Kenig, Carlos E.; Pipher, Jill The h-path distribution of the lifetime of conditioned Brownian motion for non-smooth domains. (English) Zbl 0672.60079 Probab. Theory Relat. Fields 82, No. 4, 615-623 (1989). MSC: 60J65 PDFBibTeX XMLCite \textit{C. E. Kenig} and \textit{J. Pipher}, Probab. Theory Relat. Fields 82, No. 4, 615--623 (1989; Zbl 0672.60079) Full Text: DOI
Dahlberg, Bjoern E. J.; Kenig, Carlos E. Nonnegative solutions of the initial-Dirichlet problem for generalized porous medium equations in cylinders. (English) Zbl 0699.35155 J. Am. Math. Soc. 1, No. 2, 401-412 (1988). Reviewer: H.Engler MSC: 35K60 76S05 35K65 PDFBibTeX XMLCite \textit{B. E. J. Dahlberg} and \textit{C. E. Kenig}, J. Am. Math. Soc. 1, No. 2, 401--412 (1988; Zbl 0699.35155) Full Text: DOI
Dahlberg, B. E. J.; Kenig, C. E.; Verchota, G. C. The Dirichlet problem for the biharmonic equation in a Lipschitz domain. (English) Zbl 0589.35040 Ann. Inst. Fourier 36, No. 3, 109-135 (1986). MSC: 35J55 31A30 35B45 PDFBibTeX XMLCite \textit{B. E. J. Dahlberg} et al., Ann. Inst. Fourier 36, No. 3, 109--135 (1986; Zbl 0589.35040) Full Text: DOI Numdam EuDML
Kenig, Carlos E.; Ni, Wei-Ming On the elliptic equation \(Lu-k+K\,\exp [2u]=0\). (English) Zbl 0593.35044 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 12, 191-224 (1985). Reviewer: J.Appell MSC: 35J60 PDFBibTeX XMLCite \textit{C. E. Kenig} and \textit{W.-M. Ni}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 12, 191--224 (1985; Zbl 0593.35044) Full Text: Numdam EuDML
Dahlberg, Björn E. J.; Fabes, Eugene B.; Kenig, Carlos E. A Fatou theorem for solutions of the porous medium equation. (English) Zbl 0552.35047 Proc. Am. Math. Soc. 91, 205-212 (1984). Reviewer: J.Hernández MSC: 35K60 35K15 76S05 PDFBibTeX XMLCite \textit{B. E. J. Dahlberg} et al., Proc. Am. Math. Soc. 91, 205--212 (1984; Zbl 0552.35047) Full Text: DOI
Jerison, David S.; Kenig, Carlos E. Boundary behavior of harmonic functions in non-tangentially accessible domains. (English) Zbl 0514.31003 Adv. Math. 46, 80-147 (1982). MSC: 31B25 42B25 35J05 PDFBibTeX XMLCite \textit{D. S. Jerison} and \textit{C. E. Kenig}, Adv. Math. 46, 80--147 (1982; Zbl 0514.31003) Full Text: DOI
Fabes, Eugene B.; Kenig, Carlos E. On the Hardy space-H of a \(C^ 1\) domain. (English) Zbl 0484.42006 Ark. Mat. 19, 1-22 (1981). MSC: 42B30 46J15 31B05 46E15 PDFBibTeX XMLCite \textit{E. B. Fabes} and \textit{C. E. Kenig}, Ark. Mat. 19, 1--22 (1981; Zbl 0484.42006) Full Text: DOI
Jerison, David S.; Kenig, Carlos E. An identity with applications to harmonic measure. (English) Zbl 0436.31002 Bull. Am. Math. Soc., New Ser. 2, 447-451 (1980). MSC: 31B05 31B25 PDFBibTeX XMLCite \textit{D. S. Jerison} and \textit{C. E. Kenig}, Bull. Am. Math. Soc., New Ser. 2, 447--451 (1980; Zbl 0436.31002) Full Text: DOI