Edit Profile (opens in new tab) Kappeler, Thomas Compute Distance To: Compute Author ID: kappeler.thomas Published as: Kappeler, Thomas; Kappeler, T.; Kappeler, Th.; Kappler, Thomas Documents Indexed: 149 Publications since 1981, including 5 Books 1 Contribution as Editor · 1 Further Contribution Co-Authors: 63 Co-Authors with 132 Joint Publications 1,571 Co-Co-Authors all top 5 Co-Authors 15 single-authored 36 Topalov, Peter J. 14 Burghelea, Dan 14 Friedlander, Leonid 11 Grébert, Benoît 7 Bättig, Daniel 7 Braverman, Maxim 7 Farber, Michael S. 7 Schaad, Beat 6 Cohen, Amy 6 Henrici, Andreas 5 Guillot, Jean-Claude 5 Mityagin, Boris Samuilovich 5 Montalto, Riccardo 5 Pöschel, Jürgen 4 Craig, Walter 4 Lohrmann, Philipp 4 Molnar, Jan-Cornelius 3 Bambusi, Dario 3 Bloch, Anthony Michael 3 Costa, Armindo 3 Gordon, Carolyn S. 3 Kuksin, Sergeĭ B. 3 Latschev, Janko 3 Paul, Thierry 3 Strauss, Walter Alexander 2 Berti, Massimiliano 2 Cohen, Daniel C. 2 Loubet, Enrique 2 McDonald, Patrick 2 Perry, Peter A. 2 Ruf, Bernhard 2 Schröder, Viktor M. H. 2 Serier, Frédéric 2 Shubin, Mikhail Aleksandrovich 2 Trubowitz, Eugene 2 van den Berg, Michiel 2 Widmer, Yannick 2 Zehnder, Eduard J. 1 Carles, Rémi 1 Chueshov, Igor’ Dmitrievich 1 Colin de Verdière, Yves 1 Constantin, Adrian 1 De Lellis, Camillo 1 Dryden, Emily B. 1 Eliasson, L. Hakan 1 Guerini, Pierre 1 Inci, Hasan 1 Kodama, Yuji 1 Kolev, Boris 1 Kuchment, Peter A. 1 Liang, Zhenguo 1 Maspero, Alberto 1 Némethi, András 1 Nguyen Tien Zung 1 Piatnitski, Andrey L. 1 Pinn, Klaus 1 Savchuk, Artem M. 1 Shirikyan, Armen R. 1 Shkalikov, Andreĭ Andreevich 1 Wayne, Clarence Eugene 1 Webb, David L. 1 Weitsman, Jonathan 1 Wieczerkowski, Christian all top 5 Serials 11 Journal of Functional Analysis 9 Communications in Mathematical Physics 7 IMRN. International Mathematics Research Notices 5 Communications in Partial Differential Equations 4 Duke Mathematical Journal 4 Journal of Differential Equations 4 Proceedings of the American Mathematical Society 4 SIAM Journal on Mathematical Analysis 3 Annales de l’Institut Fourier 3 Commentarii Mathematici Helvetici 3 Transactions of the American Mathematical Society 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Communications on Pure and Applied Mathematics 2 Nonlinearity 2 Bulletin de la Société Mathématique de France 2 Journal of Differential Geometry 2 Physica D 2 Discrete & Computational Geometry 2 Asymptotic Analysis 2 L’Enseignement Mathématique. 2e Série 2 Selecta Mathematica. New Series 2 Communications in Contemporary Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Analysis and Applications 1 Mathematical Notes 1 Russian Mathematical Surveys 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Bulletin of the London Mathematical Society 1 Compositio Mathematica 1 Indiana University Mathematics Journal 1 Integral Equations and Operator Theory 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Pacific Journal of Mathematics 1 Ricerche di Matematica 1 Advances in Applied Mathematics 1 Ergodic Theory and Dynamical Systems 1 Annals of Global Analysis and Geometry 1 Applied Mathematics Letters 1 Journal of Integral Equations and Applications 1 The Journal of Geometric Analysis 1 Geometric and Functional Analysis. GAFA 1 Annals of Physics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Séminaire Équations aux Dérivées Partielles 1 Journal of Lie Theory 1 Mathematical Research Letters 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 The Asian Journal of Mathematics 1 Geometry & Topology 1 Chaos 1 Journal of the European Mathematical Society (JEMS) 1 Homology, Homotopy and Applications 1 Annales Henri Poincaré 1 Journal of Nonlinear Mathematical Physics 1 Moscow Mathematical Journal 1 Milan Journal of Mathematics 1 Journal of Mathematical Physics, Analysis, Geometry 1 Astérisque 1 Contemporary Mathematics 1 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 1 Analele Universității de Vest din Timișoara. Seria Matematică-Informatică 1 Journal of Geometric Mechanics 1 Journal of Spectral Theory 1 Nonlinear Analysis. Theory, Methods & Applications 1 Séminaire Laurent Schwartz. EDP et Applications 1 EMS Series of Lectures in Mathematics all top 5 Fields 91 Partial differential equations (35-XX) 60 Dynamical systems and ergodic theory (37-XX) 30 Global analysis, analysis on manifolds (58-XX) 21 Ordinary differential equations (34-XX) 11 Quantum theory (81-XX) 10 Operator theory (47-XX) 9 Manifolds and cell complexes (57-XX) 8 Functional analysis (46-XX) 7 Mechanics of particles and systems (70-XX) 6 Differential geometry (53-XX) 5 Algebraic topology (55-XX) 3 Combinatorics (05-XX) 3 Functions of a complex variable (30-XX) 3 Fluid mechanics (76-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Difference and functional equations (39-XX) 2 General topology (54-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 131 Publications have been cited 1,288 times in 825 Documents Cited by ▼ Year ▼ On geodesic exponential maps of the Virasoro group. Zbl 1121.35111Constantin, A.; Kappeler, T.; Kolev, B.; Topalov, P. 104 2007 Global wellposedness of KdV in \(H^{-1}(\mathbb T,\mathbb R)\). Zbl 1106.35081Kappeler, T.; Topalov, P. 75 2006 KdV & KAM. Zbl 1032.37001Kappeler, Thomas; Pöschel, Jürgen 66 2003 Microlocal dispersive smoothing for the Schrödinger equation. Zbl 0856.35106Craig, Walter; Kappeler, Thomas; Strauss, Walter 58 1995 Mayer-Vietoris type formula for determinants of elliptic differential operators. Zbl 0759.58043Burghelea, D.; Friedlander, L.; Kappeler, T. 54 1992 On the regularity of the composition of diffeomorphisms. Zbl 1293.58004Inci, H.; Kappeler, T.; Topalov, P. 45 2013 Gain of regularity for equations of KdV type. Zbl 0764.35021Craig, W.; Kappeler, T.; Strauss, W. 44 1992 Scattering and inverse scattering for steplike potentials in the Schrödinger equation. Zbl 0553.34015Cohen, Amy; Kappeler, Thomas 36 1985 The defocusing NLS equation and its normal form. Zbl 1298.35002Grébert, Benoît; Kappeler, Thomas 36 2014 Analytic and Reidemeister torsion for representations in finite type Hilbert modules. Zbl 0874.57025Burghelea, D.; Friedlander, L.; Kappeler, T.; McDonald, P. 26 1996 Estimates for periodic and Dirichlet eigenvalues of the Schrödinger operator. Zbl 1097.34553Kappeler, T.; Mityagin, B. 23 2001 Topology of random 2-complexes. Zbl 1237.55009Cohen, D.; Costa, A.; Farber, M.; Kappeler, T. 23 2012 On the determinant of elliptic boundary value problems on a line segment. Zbl 0848.34063Burghelea, D.; Friedlander, L.; Kappeler, T. 22 1995 Global well-posedness of mKdV in \(L^2 (\mathbb T, \mathbb R)\). Zbl 1080.35119Kappeler, T.; Topalov, P. 22 2005 Low-regularity solutions of the periodic Camassa-Holm equation. Zbl 1123.35045de Lellis, Camillo; Kappeler, Thomas; Topalov, Peter 20 2007 On the determinant of elliptic differential and difference finite operators in vector bundles over \(S^ 1\). Zbl 0734.58043Burghelea, D.; Friedlander, L.; Kappeler, T. 20 1991 Refined analytic torsion. Zbl 1147.58034Braverman, Maxim; Kappeler, Thomas 19 2008 Refined analytic torsion as an element of the determinant line. Zbl 1135.58014Braverman, Maxim; Kappeler, Thomas 18 2007 Estimates for periodic and Dirichlet eigenvalues of the Schrödinger operator with singular potentials. Zbl 1004.34077Kappeler, T.; Möhr, C. 17 2001 The Miura map on the line. Zbl 1089.35058Kappeler, Thomas; Perry, Peter; Shubin, Mikhail; Topalov, Peter 16 2005 Asymptotic expansion of the Witten deformation of the analytic torsion. Zbl 0858.57029Burghelea, D.; Friedlander, L.; Kappeler, T. 15 1996 Gap estimates of the spectrum of Hill’s equation and action variables for KdV. Zbl 0924.58074Kappeler, T.; Mityagin, B. 15 1999 Qualitative features of periodic solutions of KdV. Zbl 1274.35330Kappeler, T.; Schaad, B.; Topalov, P. 15 2013 Solutions of the Korteweg-de Vries equation with steplike initial data. Zbl 0598.35118Kappeler, Thomas 14 1986 Banach spaces with the condition of Mazur. Zbl 0658.46010Kappeler, T. 13 1986 Birkhoff coordinates for KdV on phase spaces of distributions. Zbl 1089.37042Kappeler, T.; Möhr, C.; Topalov, P. 13 2005 Solutions to the Korteweg-de Vries equation with initial profile in \(L^ 1_ 1({\mathbb{R}})\cap L^ 1_ N({\mathbb{R}}^+)\). Zbl 0651.35075Cohen, Amy; Kappeler, Thomas 11 1987 On Birkhoff coordinates for KdV. Zbl 1017.76015Kappeler, T.; Makarov, M. 11 2001 Birkhoff coordinates for the focusing NLS equation. Zbl 1176.35168Kappeler, T.; Lohrmann, P.; Topalov, P.; Zung, N. T. 11 2009 Gap estimates of the spectrum of the Zakharov-Shabat system. Zbl 0940.35186Grébert, B.; Kappeler, T.; Mityagin, B. 10 1998 Torsions for manifolds with boundary and glueing formulas. Zbl 0959.58041Burghelea, Dan; Friedlander, Leonid; Kappeler, Thomas 10 1999 Comparison of the refined analytic and the Burghelea-Haller torsions. Zbl 1147.58033Braverman, Maxim; Kappeler, Thomas 10 2007 Fibration of the phase space for the Korteweg-de Vries equation. Zbl 0731.58033Kappeler, Thomas 10 1991 A KAM theorem for the defocusing NLS equation. Zbl 1234.35248Kappeler, Thomas; Liang, Zhenguo 10 2012 Results on normal forms for FPU chains. Zbl 1168.70005Henrici, Andreas; Kappeler, Thomas 9 2008 Global Birkhoff coordinates for the periodic Toda lattice. Zbl 1167.37029Henrici, Andreas; Kappeler, Thomas 9 2008 Global fold structure of the Miura map on \(L^2({\mathbb{T}})\). Zbl 1076.35111Kappeler, T.; Topalov, P. 9 2004 Ray-Singer type theorem for the refined analytic torsion. Zbl 1122.58018Braverman, Maxim; Kappeler, Thomas 9 2007 On the spectrum of the Lax operator of the Benjamin-Ono equation on the torus. Zbl 1452.37070Gérard, Patrick; Kappeler, Thomas; Topalov, Petar 9 2020 Norm-inflation with infinite loss of regularity for periodic NLS equations in negative Sobolev spaces. (Croissance de norme avec perte infinie de régularité pour les équations de Schrödinger périodiques en régularité négative.) Zbl 1428.35488Carles, Rémi; Kappeler, Thomas 9 2017 Solutions to the Korteweg-de Vries equation with irregular initial profile. Zbl 0606.35079Kappeler, Thomas 8 1986 On the symplectic structure of the phase space for periodic KdV, Toda, and defocusing NLS. Zbl 0855.58035Bättig, D.; Bloch, A. M.; Guillot, J.-C.; Kappeler, T. 8 1995 On the Korteweg-de Vries equation: Frequencies and initial value problem. Zbl 0899.35096Bättig, D.; Kappeler, T.; Mityagin, B. 8 1997 A refinement of the Ray-Singer torsion. Zbl 1086.58015Braverman, Maxim; Kappeler, Thomas 8 2005 (Large) KAM tori for perturbations of the defocusing NLS equation. Zbl 1465.35002Berti, Massimiliano; Kappeler, Thomas; Montalto, Riccardo 8 2018 Betti numbers of random manifolds. Zbl 1136.55014Farber, Michael; Kappeler, Thomas 8 2008 Asymptotics of spectral quantities of Schrödinger operators. Zbl 1317.81119Kappeler, T.; Schaad, B.; Topalov, P. 8 2012 On the wellposedness of the KdV/KdV2 equations and their frequency maps. Zbl 1406.37050Kappeler, Thomas; Molnar, Jan-Cornelius 8 2018 Scattering-like phenomena of the periodic defocusing NLS equation. Zbl 1390.35330Kappeler, T.; Schaad, B.; Topalov, P. 8 2017 Global action-angle variables for the periodic Toda lattice. Zbl 1166.37026Henrici, Andreas; Kappeler, Thomas 7 2008 Solutions to the cubic Schrödinger equation by the inverse scattering method. Zbl 0755.35126Cohen, Amy; Kappeler, Thomas 7 1992 Estimates on periodic and Dirichlet eigenvalues for the Zakharov-Shabat system. Zbl 0982.34073Grébert, B.; Kappeler, T. 7 2001 On the well-posedness of the defocusing mKdV equation below \(L^{2}\). Zbl 1368.37078Kappeler, Thomas; Molnar, Jan-Cornelius 7 2017 Fibration of the phase space of the periodic Toda lattice. Zbl 0863.58032Bättig, D.; Grébert, B.; Guillot, J. C.; Kappeler, T. 7 1993 A canonical quadratic form on the determinant line of a flat vector bundle. Zbl 1146.58023Braverman, Maxim; Kappeler, Thomas 6 2008 Solutions of mKdV in classes of functions unbounded at infinity. Zbl 1155.35087Kappeler, T.; Perry, P.; Shubin, M.; Topalov, P. 6 2008 mKdV and its Birkhoff coordinates. Zbl 1143.76400Kappeler, T.; Schaad, B.; Topalov, P. 6 2008 Riemannian exponential maps of the diffeomorphism group of \(\mathbb T^2\). Zbl 1161.58008Kappeler, Thomas; Loubet, Enrique; Topalov, Peter 6 2008 Resonant normal form for even periodic FPU chains. Zbl 1181.37081Henrici, Andreas; Kappeler, Thomas 6 2009 Topics of stochastic algebraic topology. Zbl 1347.05225Costa, A. E.; Farber, M.; Kappeler, T. 6 2012 Isospectrality and heat content. Zbl 1297.58008van den Berg, M.; Dryden, E. B.; Kappeler, T. 6 2014 On isospectral potentials on tori. Zbl 0732.35064Gordon, Carolyn S.; Kappeler, Thomas 6 1991 Well-posedness of KdV on \(H^{-1}(\mathbb T)\). Zbl 1101.35367Kappeler, T.; Topalov, P. 6 2004 On the symplectic phase space of KdV. Zbl 1167.35039Kappeler, T.; Serier, F.; Topalov, P. 5 2008 Symmetries of the nonlinear Schrödinger equation. Zbl 1044.35088Grébert, Benoît; Kappeler, Thomas 5 2002 Perturbations of the harmonic map equation. Zbl 1063.58012Kappeler, T.; Kuksin, S.; Schroeder, V. 5 2003 Perturbations of the defocusing nonlinear Schrödinger equation. Zbl 1048.37067Grébert, B.; Kappeler, T. 5 2003 On the integrability of the Benjamin-Ono equation on the torus. Zbl 1471.35354Gérard, Patrick; Kappeler, Thomas 5 2021 On the periodic KdV equation in weighted Sobolev spaces. Zbl 1177.35199Kappeler, Thomas; Pöschel, Jürgen 5 2009 Birkhoff normal form for the periodic Toda lattice. Zbl 1149.37031Henrici, Andreas; Kappeler, Thomas 4 2008 Riccati map on \(L_{0}^{2}(\mathbb T)\) and its applications. Zbl 1085.34067Kappeler, Thomas; Topalov, Peter 4 2005 Regularized determinants for pseudodifferential operators in vector bundles over \(S^ 1\). Zbl 0784.35126Burghelea, D.; Friedlander, L.; Kappeler, T. 4 1993 On action-angle variables for the second Poisson bracket of KdV. Zbl 1003.37038Kappeler, T.; Makarov, M. 4 2000 Relative torsion. Zbl 0994.58018Burghelea, Dan; Friedlander, Leonid; Kappeler, Thomas 4 2001 Properties of the scattering map. Zbl 0595.34027Kappeler, Thomas; Trubowitz, Eugene 4 1986 From Toda to KdV. (De Toda à KdV.) Zbl 1181.37110Bambusi, Dario; Kappeler, Thomas; Paul, Thierry 4 2009 On the characterization of the smoothness of skew-adjoint potentials in periodic Dirac operators. Zbl 1191.47060Kappeler, T.; Serier, F.; Topalov, P. 4 2009 On the convexity of the KdV Hamiltonian. Zbl 1353.35251Kappeler, Thomas; Maspero, Alberto; Molnar, Jan; Topalov, Peter 4 2016 From Toda to KdV. Zbl 1334.37078Bambusi, D.; Kappeler, T.; Paul, T. 4 2015 On isospectral potentials on a discrete lattice. II. Zbl 0675.35023Kappeler, Thomas 4 1988 Inverse spectral results on even dimensional tori. Zbl 1159.58015Gordon, Carolyn S.; Guerini, Pierre; Kappeler, Thomas; Webb, David L. 3 2008 Infinite gain of regularity for dispersive evolution equations. Zbl 0767.35076Craig, W.; Kappeler, T.; Strauss, W. 3 1991 A note on gaps of Hill’s equation. Zbl 1082.34072Grébert, Benoît; Kappeler, Thomas; Pöschel, Jürgen 3 2004 Nekhoroshev theorem for the periodic Toda lattice. Zbl 1317.37057Henrici, Andreas; Kappeler, Thomas 3 2009 Renormalization group flow of a hierarchical sine-Gordon model by partial differential equations. Zbl 0729.35128Kappeler, Thomas; Pinn, Klaus; Wieczerkowski, Christian 3 1991 Properties of the scattering map. II. Zbl 0694.34022Kappeler, Thomas; Trubowitz, Eugene 3 1988 Strong nonresonance of Schrödinger operators and an averaging theorem. Zbl 0885.35119Kappeler, T.; Kuksin, S. 3 1995 On the Birkhoff normal form of a completely integrable Hamiltonian system near a fixed point with resonance. Zbl 0919.58030Kappeler, Thomas; Kodama, Yuji; Némethi, Andras 3 1998 Multiplicities of the eigenvalues of the discrete Schrödinger equation in any dimension. Zbl 0641.39002Burghelea, Dan; Kappeler, Thomas 2 1988 Multiplicities of the eigenvalues of the Schrödinger equation in any dimension. Zbl 0647.35017Kappeler, Thomas 2 1988 On the nodal line of the second eigenfunction of elliptic operators in two dimensions. Zbl 0658.35068Kappeler, Thomas; Ruf, Bernhard 2 1989 On the Korteweg-de Vries equation: Convergent Birkhoff normal form. Zbl 0868.35099Bättig, D.; Kappeler, T.; Mityagin, B. 2 1996 On the functional logdet and related flows on the space of closed embedded curves on \(S^ 2\). Zbl 0805.58062Burghelea, Dan; Kappeler, Thomas; McDonald, Patrick; Friedlander, Leonid 2 1994 On isospectral potentials on flat tori. II. Zbl 0849.35085Gordon, Carolyn S.; Kappler, Thomas 2 1995 Written deformation of the analytic torsion and the Reidemeister torsion. Zbl 0907.58070Burghelea, Dan; Friedlander, Leonid; Kappeler, Thomas 2 1998 Analyticity of Riemannian exponential maps on \(\text{Diff}(T)\). Zbl 1160.22011Kappeler, T.; Loubet, E.; Topalov, P. 2 2007 Erratum: On the determinant of elliptic differential and finite difference operators in vector bundles over \(S^ 1\). Zbl 0764.58032Burghelea, D.; Friedlander, L.; Kappeler, Th. 2 1992 Foliation of phase space for the cubic nonlinear Schrödinger equation. Zbl 0783.35068Bättig, Daniel; Grébert, Benoît; Guillot, Jean-Claude; Kappeler, Thomas 2 1993 Normal form coordinates for the KdV equation having expansions in terms of pseudodifferential operators. Zbl 1443.37055Kappeler, Thomas; Montalto, Riccardo 2 2020 Canonical coordinates with tame estimates for the defocusing NLS equation on the circle. Zbl 1410.35202Kappeler, Thomas; Montalto, Riccardo 2 2018 On the analytic Birkhoff normal form of the Benjamin-Ono equation and applications. Zbl 07461241Gérard, Patrick; Kappeler, Thomas; Topalov, Petar 2 2022 On the integrability of the Benjamin-Ono equation on the torus. Zbl 1471.35354Gérard, Patrick; Kappeler, Thomas 5 2021 Large KAM tori for quasi-linear perturbations of KdV. Zbl 1462.35329Berti, Massimiliano; Kappeler, Thomas; Montalto, Riccardo 1 2021 On the spectrum of the Lax operator of the Benjamin-Ono equation on the torus. Zbl 1452.37070Gérard, Patrick; Kappeler, Thomas; Topalov, Petar 9 2020 Normal form coordinates for the KdV equation having expansions in terms of pseudodifferential operators. Zbl 1443.37055Kappeler, Thomas; Montalto, Riccardo 2 2020 On the nonexistence of local, gauge-invariant Birkhoff coordinates for the focusing NLS equation. Zbl 1447.35298Kappeler, Thomas; Topalov, Peter 1 2019 (Large) KAM tori for perturbations of the defocusing NLS equation. Zbl 1465.35002Berti, Massimiliano; Kappeler, Thomas; Montalto, Riccardo 8 2018 On the wellposedness of the KdV/KdV2 equations and their frequency maps. Zbl 1406.37050Kappeler, Thomas; Molnar, Jan-Cornelius 8 2018 Canonical coordinates with tame estimates for the defocusing NLS equation on the circle. Zbl 1410.35202Kappeler, Thomas; Montalto, Riccardo 2 2018 On spectral properties of the \(L\) operator in the Lax pair of the sine-Gordon equation. Zbl 1422.37050Kappeler, Thomas; Widmer, Yannick 1 2018 Norm-inflation with infinite loss of regularity for periodic NLS equations in negative Sobolev spaces. (Croissance de norme avec perte infinie de régularité pour les équations de Schrödinger périodiques en régularité négative.) Zbl 1428.35488Carles, Rémi; Kappeler, Thomas 9 2017 Scattering-like phenomena of the periodic defocusing NLS equation. Zbl 1390.35330Kappeler, T.; Schaad, B.; Topalov, P. 8 2017 On the well-posedness of the defocusing mKdV equation below \(L^{2}\). Zbl 1368.37078Kappeler, Thomas; Molnar, Jan-Cornelius 7 2017 On normalized differentials on hyperelliptic curves of infinite genus. Zbl 1367.30026Kappeler, Thomas; Topalov, Peter 1 2017 On the convexity of the KdV Hamiltonian. Zbl 1353.35251Kappeler, Thomas; Maspero, Alberto; Molnar, Jan; Topalov, Peter 4 2016 Semi-linearity of the non-linear Fourier transform of the defocusing NLS equation. Zbl 1404.35418Kappeler, Thomas; Schaad, Beat; Topalov, Peter 1 2016 From Toda to KdV. Zbl 1334.37078Bambusi, D.; Kappeler, T.; Paul, T. 4 2015 Dynamics of periodic Toda chains with a large number of particles. Zbl 1317.35255Bambusi, D.; Kappeler, T.; Paul, T. 1 2015 On nonlinear interpolation. Zbl 1336.46022Kappeler, T.; Topalov, P. 1 2015 The defocusing NLS equation and its normal form. Zbl 1298.35002Grébert, Benoît; Kappeler, Thomas 36 2014 Isospectrality and heat content. Zbl 1297.58008van den Berg, M.; Dryden, E. B.; Kappeler, T. 6 2014 On the spectrum of nonself-adjoint Zakharov-Shabat operators on \(\mathbb R\). Zbl 1320.35247Kappeler, T.; Lohrmann, P.; Topalov, P. 1 2014 Generic non-selfadjoint Zakharov-Shabat operators. Zbl 1319.47012Kappeler, T.; Lohrmann, P.; Topalov, P. 1 2014 On the regularity of the composition of diffeomorphisms. Zbl 1293.58004Inci, H.; Kappeler, T.; Topalov, P. 45 2013 Qualitative features of periodic solutions of KdV. Zbl 1274.35330Kappeler, T.; Schaad, B.; Topalov, P. 15 2013 Topology of random 2-complexes. Zbl 1237.55009Cohen, D.; Costa, A.; Farber, M.; Kappeler, T. 23 2012 A KAM theorem for the defocusing NLS equation. Zbl 1234.35248Kappeler, Thomas; Liang, Zhenguo 10 2012 Asymptotics of spectral quantities of Schrödinger operators. Zbl 1317.81119Kappeler, T.; Schaad, B.; Topalov, P. 8 2012 Topics of stochastic algebraic topology. Zbl 1347.05225Costa, A. E.; Farber, M.; Kappeler, T. 6 2012 Spectral theory and geometric analysis. International conference in honor of Mikhail Shubin’s 65th birthday, Northeastern University, Boston, MA, USA, July 29 – August 2, 2009. Zbl 1207.58001 1 2011 On normalized differentials on families of curves of infinite genus. Zbl 1231.35204Kappeler, T.; Lohrmann, P.; Topalov, P. 1 2011 On the space of trajectories of a generic gradient like vector field. Zbl 1240.37016Burghelea, Dan; Friedlander, Leonid; Kappeler, Thomas 1 2010 Birkhoff coordinates for the focusing NLS equation. Zbl 1176.35168Kappeler, T.; Lohrmann, P.; Topalov, P.; Zung, N. T. 11 2009 Resonant normal form for even periodic FPU chains. Zbl 1181.37081Henrici, Andreas; Kappeler, Thomas 6 2009 On the periodic KdV equation in weighted Sobolev spaces. Zbl 1177.35199Kappeler, Thomas; Pöschel, Jürgen 5 2009 From Toda to KdV. (De Toda à KdV.) Zbl 1181.37110Bambusi, Dario; Kappeler, Thomas; Paul, Thierry 4 2009 On the characterization of the smoothness of skew-adjoint potentials in periodic Dirac operators. Zbl 1191.47060Kappeler, T.; Serier, F.; Topalov, P. 4 2009 Nekhoroshev theorem for the periodic Toda lattice. Zbl 1317.37057Henrici, Andreas; Kappeler, Thomas 3 2009 Refined analytic torsion. Zbl 1147.58034Braverman, Maxim; Kappeler, Thomas 19 2008 Results on normal forms for FPU chains. Zbl 1168.70005Henrici, Andreas; Kappeler, Thomas 9 2008 Global Birkhoff coordinates for the periodic Toda lattice. Zbl 1167.37029Henrici, Andreas; Kappeler, Thomas 9 2008 Betti numbers of random manifolds. Zbl 1136.55014Farber, Michael; Kappeler, Thomas 8 2008 Global action-angle variables for the periodic Toda lattice. Zbl 1166.37026Henrici, Andreas; Kappeler, Thomas 7 2008 A canonical quadratic form on the determinant line of a flat vector bundle. Zbl 1146.58023Braverman, Maxim; Kappeler, Thomas 6 2008 Solutions of mKdV in classes of functions unbounded at infinity. Zbl 1155.35087Kappeler, T.; Perry, P.; Shubin, M.; Topalov, P. 6 2008 mKdV and its Birkhoff coordinates. Zbl 1143.76400Kappeler, T.; Schaad, B.; Topalov, P. 6 2008 Riemannian exponential maps of the diffeomorphism group of \(\mathbb T^2\). Zbl 1161.58008Kappeler, Thomas; Loubet, Enrique; Topalov, Peter 6 2008 On the symplectic phase space of KdV. Zbl 1167.35039Kappeler, T.; Serier, F.; Topalov, P. 5 2008 Birkhoff normal form for the periodic Toda lattice. Zbl 1149.37031Henrici, Andreas; Kappeler, Thomas 4 2008 Inverse spectral results on even dimensional tori. Zbl 1159.58015Gordon, Carolyn S.; Guerini, Pierre; Kappeler, Thomas; Webb, David L. 3 2008 On the well-posedness of the periodic KdV equation in high regularity classes. Zbl 1251.35130Kappeler, Thomas; Pöschel, Jürgen 2 2008 On geodesic exponential maps of the Virasoro group. Zbl 1121.35111Constantin, A.; Kappeler, T.; Kolev, B.; Topalov, P. 104 2007 Low-regularity solutions of the periodic Camassa-Holm equation. Zbl 1123.35045de Lellis, Camillo; Kappeler, Thomas; Topalov, Peter 20 2007 Refined analytic torsion as an element of the determinant line. Zbl 1135.58014Braverman, Maxim; Kappeler, Thomas 18 2007 Comparison of the refined analytic and the Burghelea-Haller torsions. Zbl 1147.58033Braverman, Maxim; Kappeler, Thomas 10 2007 Ray-Singer type theorem for the refined analytic torsion. Zbl 1122.58018Braverman, Maxim; Kappeler, Thomas 9 2007 Analyticity of Riemannian exponential maps on \(\text{Diff}(T)\). Zbl 1160.22011Kappeler, T.; Loubet, E.; Topalov, P. 2 2007 Global wellposedness of KdV in \(H^{-1}(\mathbb T,\mathbb R)\). Zbl 1106.35081Kappeler, T.; Topalov, P. 75 2006 Global well-posedness of mKdV in \(L^2 (\mathbb T, \mathbb R)\). Zbl 1080.35119Kappeler, T.; Topalov, P. 22 2005 The Miura map on the line. Zbl 1089.35058Kappeler, Thomas; Perry, Peter; Shubin, Mikhail; Topalov, Peter 16 2005 Birkhoff coordinates for KdV on phase spaces of distributions. Zbl 1089.37042Kappeler, T.; Möhr, C.; Topalov, P. 13 2005 A refinement of the Ray-Singer torsion. Zbl 1086.58015Braverman, Maxim; Kappeler, Thomas 8 2005 Riccati map on \(L_{0}^{2}(\mathbb T)\) and its applications. Zbl 1085.34067Kappeler, Thomas; Topalov, Peter 4 2005 Counting solutions of perturbed harmonic map equations. Zbl 1092.58012Kappeler, Thomas; Latschev, Janko 2 2005 Poincaré inequalities for maps with target manifold of negative curvature. Zbl 1093.53037Kappeler, T.; Schroeder, V.; Kuksin, S. 1 2005 Global fold structure of the Miura map on \(L^2({\mathbb{T}})\). Zbl 1076.35111Kappeler, T.; Topalov, P. 9 2004 Well-posedness of KdV on \(H^{-1}(\mathbb T)\). Zbl 1101.35367Kappeler, T.; Topalov, P. 6 2004 A note on gaps of Hill’s equation. Zbl 1082.34072Grébert, Benoît; Kappeler, Thomas; Pöschel, Jürgen 3 2004 Lusternik-Schnirelman theory and dynamics. II. Zbl 1106.58007Farber, M.; Kappeler, T. 2 2004 Smooth Lyapunov 1-forms. Zbl 1084.37014Farber, M.; Kappeler, T.; Latschev, J.; Zehnder, E. 1 2004 Lyapunov 1-forms for flows. Zbl 1087.37012Farber, M.; Kappeler, T.; Latschev, J.; Zehnder, E. 1 2004 KdV & KAM. Zbl 1032.37001Kappeler, Thomas; Pöschel, Jürgen 66 2003 Perturbations of the harmonic map equation. Zbl 1063.58012Kappeler, T.; Kuksin, S.; Schroeder, V. 5 2003 Perturbations of the defocusing nonlinear Schrödinger equation. Zbl 1048.37067Grébert, B.; Kappeler, T. 5 2003 Density of finite gap potentials for the Zakharov-Shabat system. Zbl 1037.34078Grébert, B.; Kappeler, T. 1 2003 On the Korteweg-de Vries equation and KAM theory. Zbl 1033.35101Kappeler, Thomas; Pöschel, Jürgen 1 2003 Symmetries of the nonlinear Schrödinger equation. Zbl 1044.35088Grébert, Benoît; Kappeler, Thomas 5 2002 Estimates for periodic and Dirichlet eigenvalues of the Schrödinger operator. Zbl 1097.34553Kappeler, T.; Mityagin, B. 23 2001 Estimates for periodic and Dirichlet eigenvalues of the Schrödinger operator with singular potentials. Zbl 1004.34077Kappeler, T.; Möhr, C. 17 2001 On Birkhoff coordinates for KdV. Zbl 1017.76015Kappeler, T.; Makarov, M. 11 2001 Estimates on periodic and Dirichlet eigenvalues for the Zakharov-Shabat system. Zbl 0982.34073Grébert, B.; Kappeler, T. 7 2001 Relative torsion. Zbl 0994.58018Burghelea, Dan; Friedlander, Leonid; Kappeler, Thomas 4 2001 On action-angle variables for the second Poisson bracket of KdV. Zbl 1003.37038Kappeler, T.; Makarov, M. 4 2000 Gap estimates of the spectrum of Hill’s equation and action variables for KdV. Zbl 0924.58074Kappeler, T.; Mityagin, B. 15 1999 Torsions for manifolds with boundary and glueing formulas. Zbl 0959.58041Burghelea, Dan; Friedlander, Leonid; Kappeler, Thomas 10 1999 Gap estimates of the spectrum of the Zakharov-Shabat system. Zbl 0940.35186Grébert, B.; Kappeler, T.; Mityagin, B. 10 1998 On the Birkhoff normal form of a completely integrable Hamiltonian system near a fixed point with resonance. Zbl 0919.58030Kappeler, Thomas; Kodama, Yuji; Némethi, Andras 3 1998 Written deformation of the analytic torsion and the Reidemeister torsion. Zbl 0907.58070Burghelea, Dan; Friedlander, Leonid; Kappeler, Thomas 2 1998 On the Korteweg-de Vries equation: Frequencies and initial value problem. Zbl 0899.35096Bättig, D.; Kappeler, T.; Mityagin, B. 8 1997 Analytic and Reidemeister torsion for representations in finite type Hilbert modules. Zbl 0874.57025Burghelea, D.; Friedlander, L.; Kappeler, T.; McDonald, P. 26 1996 Asymptotic expansion of the Witten deformation of the analytic torsion. Zbl 0858.57029Burghelea, D.; Friedlander, L.; Kappeler, T. 15 1996 On the Korteweg-de Vries equation: Convergent Birkhoff normal form. Zbl 0868.35099Bättig, D.; Kappeler, T.; Mityagin, B. 2 1996 Microlocal dispersive smoothing for the Schrödinger equation. Zbl 0856.35106Craig, Walter; Kappeler, Thomas; Strauss, Walter 58 1995 On the determinant of elliptic boundary value problems on a line segment. Zbl 0848.34063Burghelea, D.; Friedlander, L.; Kappeler, T. 22 1995 On the symplectic structure of the phase space for periodic KdV, Toda, and defocusing NLS. Zbl 0855.58035Bättig, D.; Bloch, A. M.; Guillot, J.-C.; Kappeler, T. 8 1995 Strong nonresonance of Schrödinger operators and an averaging theorem. Zbl 0885.35119Kappeler, T.; Kuksin, S. 3 1995 On isospectral potentials on flat tori. II. Zbl 0849.35085Gordon, Carolyn S.; Kappler, Thomas 2 1995 On the functional logdet and related flows on the space of closed embedded curves on \(S^ 2\). Zbl 0805.58062Burghelea, Dan; Kappeler, Thomas; McDonald, Patrick; Friedlander, Leonid 2 1994 Fibration of the phase space of the periodic Toda lattice. Zbl 0863.58032Bättig, D.; Grébert, B.; Guillot, J. C.; Kappeler, T. 7 1993 Regularized determinants for pseudodifferential operators in vector bundles over \(S^ 1\). Zbl 0784.35126Burghelea, D.; Friedlander, L.; Kappeler, T. 4 1993 ...and 31 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 765 Authors 64 Kappeler, Thomas 25 Topalov, Peter J. 18 Lee, Yoonweon 18 Mi, Yongsheng 17 Farber, Michael S. 17 Himonas, A. Alexandrou 14 Kirsten, Klaus 13 Mu, Chunlai 12 Bauer, Martin 12 Braverman, Maxim 11 Bambusi, Dario 11 Burghelea, Dan 11 Kolev, Boris 11 Liu, Yue 11 Mityagin, Boris Samuilovich 11 Montalto, Riccardo 10 Bruveris, Martins 10 Costa, Armindo 10 Ponce, Gustavo 9 Djakov, Plamen B. 9 Geng, Jiansheng 9 Gesztesy, Fritz 9 Guo, Boling 9 Korotyaev, Evgeny L. 9 Lai, Shaoyong 9 Maspero, Alberto 9 Oh, Tadahiro 9 Vega, Luis 8 Kenig, Carlos Eduardo 8 Su, Guangxiang 8 Tataru, Daniel 7 Berti, Massimiliano 7 Friedlander, Leonid 7 Inci, Hasan 7 Kuksin, Sergeĭ B. 7 Michor, Peter Wolfram 7 Nakamura, Shu 7 Naumkin, Pavel Ivanovich 7 Park, Jinsung 7 Qu, Changzheng 7 Shen, Chunyu 7 Vertman, Boris 6 Gao, Anna 6 Hayashi, Nakao 6 Huang, Rung-Tzung 6 Lenells, Jonatan 6 Loya, Paul A. 6 Preston, Stephen C. 6 Rybkin, Alexei 6 Tian, Lixin 6 Zhang, Bingyu 5 Galego, Elói Medina 5 Grébert, Benoît 5 Haller, Stefan 5 Harms, Philipp 5 Killip, Rowan 5 Kokotov, Aleksey 5 Mathai, Varghese 5 Metcalfe, Jason L. 5 Mi, Lufang 5 Molnar, Jan-Cornelius 5 Petronilho, Gerson 5 Schaad, Beat 5 Vera Villagrán, Octavio Paulo 5 Visan, Monica 5 Yin, Zhaoyang 4 Baldi, Pietro 4 Banica, Valeria 4 Bona, Jerry Lloyd 4 Constantin, Adrian 4 Damanik, David 4 de la Llave, Rafael 4 Escher, Joachim 4 Fu, Ying 4 Grava, Tamara 4 Grudsky, Sergei Mikhailovich 4 Henrici, Andreas 4 Henry, David 4 Hryniv, Rostyslav O. 4 Ivanov, Rossen I. 4 Kalisch, Henrik 4 Kalvin, Victor 4 Koch, Herbert 4 Kokarev, Gerasim 4 Liang, Zhenguo 4 Liu, Jianjun 4 Misiołek, Gerard 4 Molinet, Luc 4 Ralston, James V. 4 Sacks, Paul E. 4 Sepúlveda, Mauricio A. 4 Staffilani, Gigliola 4 Tzvetkov, Nikolay 4 Wu, Yonghong 4 Xu, XinDong 4 Yajima, Kenji 4 Yan, Wei 4 Yuan, Xiaoping 3 Acuña Valverde, Luis 3 Ambrose, David M. ...and 665 more Authors all top 5 Cited in 193 Serials 54 Journal of Differential Equations 43 Communications in Mathematical Physics 41 Journal of Functional Analysis 32 Proceedings of the American Mathematical Society 28 Journal of Mathematical Physics 23 Communications in Partial Differential Equations 22 Journal of Mathematical Analysis and Applications 21 Discrete and Continuous Dynamical Systems 19 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 17 Transactions of the American Mathematical Society 15 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 15 Journal of Dynamics and Differential Equations 13 Duke Mathematical Journal 12 Annals of Global Analysis and Geometry 10 Applicable Analysis 10 Advances in Mathematics 9 Archive for Rational Mechanics and Analysis 9 Nonlinearity 9 Journal of Geometry and Physics 8 Annales de l’Institut Fourier 8 Mathematische Annalen 8 Physica D 8 The Journal of Geometric Analysis 8 SIAM Journal on Mathematical Analysis 8 Journal of Nonlinear Mathematical Physics 7 Inventiones Mathematicae 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Communications on Pure and Applied Mathematics 6 Journal d’Analyse Mathématique 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Calculus of Variations and Partial Differential Equations 6 Séminaire Laurent Schwartz. 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Theory, Methods & Applications 2 Inverse Problems 2 Physics Letters. A 2 Theoretical and Mathematical Physics 2 Acta Mathematica 2 Illinois Journal of Mathematics 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Nachrichten 2 Mathematika 2 Studies in Applied Mathematics 2 Advances in Applied Mathematics 2 Journal of the American Mathematical Society 2 Journal of Scientific Computing 2 Stochastic Processes and their Applications 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Indagationes Mathematicae. New Series 2 Annales Mathématiques Blaise Pascal 2 Bulletin des Sciences Mathématiques 2 Annals of Mathematics. Second Series 2 Acta Mathematica Sinica. English Series 2 Journal of Dynamical and Control Systems 2 Annales Henri Poincaré 2 Differential Equations ...and 93 more Serials all top 5 Cited in 51 Fields 524 Partial differential equations (35-XX) 191 Dynamical systems and ergodic theory (37-XX) 152 Global analysis, analysis on manifolds (58-XX) 85 Operator theory (47-XX) 83 Ordinary differential equations (34-XX) 64 Quantum theory (81-XX) 55 Fluid mechanics (76-XX) 37 Probability theory and stochastic processes (60-XX) 30 Functional analysis (46-XX) 30 Manifolds and cell complexes (57-XX) 28 Differential geometry (53-XX) 26 Algebraic topology (55-XX) 25 Mechanics of particles and systems (70-XX) 24 Combinatorics (05-XX) 24 Numerical analysis (65-XX) 18 Statistical mechanics, structure of matter (82-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Algebraic geometry (14-XX) 10 Functions of a complex variable (30-XX) 10 Several complex variables and analytic spaces (32-XX) 10 Systems theory; control (93-XX) 9 Group theory and generalizations (20-XX) 8 Number theory (11-XX) 6 Difference and functional equations (39-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Mechanics of deformable solids (74-XX) 5 Topological groups, Lie groups (22-XX) 5 Special functions (33-XX) 5 Optics, electromagnetic theory (78-XX) 5 Relativity and gravitational theory (83-XX) 4 \(K\)-theory (19-XX) 4 Integral transforms, operational calculus (44-XX) 4 Geophysics (86-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Nonassociative rings and algebras (17-XX) 3 Convex and discrete geometry (52-XX) 3 Computer science (68-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Real functions (26-XX) 2 General topology (54-XX) 1 Associative rings and algebras (16-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year