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Author ID: kappeler.thomas Recent zbMATH articles by "Kappeler, Thomas"
Published as: Kappeler, Thomas; Kappeler, T.; Kappeler, Th.; Kappler, Thomas
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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

Publications by Year

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 1121.35111
Constantin, A.; Kappeler, T.; Kolev, B.; Topalov, P.
104
2007
Global wellposedness of KdV in \(H^{-1}(\mathbb T,\mathbb R)\). Zbl 1106.35081
Kappeler, T.; Topalov, P.
75
2006
KdV & KAM. Zbl 1032.37001
Kappeler, Thomas; Pöschel, Jürgen
66
2003
Microlocal dispersive smoothing for the Schrödinger equation. Zbl 0856.35106
Craig, Walter; Kappeler, Thomas; Strauss, Walter
58
1995
Mayer-Vietoris type formula for determinants of elliptic differential operators. Zbl 0759.58043
Burghelea, D.; Friedlander, L.; Kappeler, T.
54
1992
On the regularity of the composition of diffeomorphisms. Zbl 1293.58004
Inci, H.; Kappeler, T.; Topalov, P.
45
2013
Gain of regularity for equations of KdV type. Zbl 0764.35021
Craig, W.; Kappeler, T.; Strauss, W.
44
1992
Scattering and inverse scattering for steplike potentials in the Schrödinger equation. Zbl 0553.34015
Cohen, Amy; Kappeler, Thomas
36
1985
The defocusing NLS equation and its normal form. Zbl 1298.35002
Grébert, Benoît; Kappeler, Thomas
36
2014
Analytic and Reidemeister torsion for representations in finite type Hilbert modules. Zbl 0874.57025
Burghelea, D.; Friedlander, L.; Kappeler, T.; McDonald, P.
26
1996
Estimates for periodic and Dirichlet eigenvalues of the Schrödinger operator. Zbl 1097.34553
Kappeler, T.; Mityagin, B.
23
2001
Topology of random 2-complexes. Zbl 1237.55009
Cohen, D.; Costa, A.; Farber, M.; Kappeler, T.
23
2012
On the determinant of elliptic boundary value problems on a line segment. Zbl 0848.34063
Burghelea, D.; Friedlander, L.; Kappeler, T.
22
1995
Global well-posedness of mKdV in \(L^2 (\mathbb T, \mathbb R)\). Zbl 1080.35119
Kappeler, T.; Topalov, P.
22
2005
Low-regularity solutions of the periodic Camassa-Holm equation. Zbl 1123.35045
de 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 0734.58043
Burghelea, D.; Friedlander, L.; Kappeler, T.
20
1991
Refined analytic torsion. Zbl 1147.58034
Braverman, Maxim; Kappeler, Thomas
19
2008
Refined analytic torsion as an element of the determinant line. Zbl 1135.58014
Braverman, Maxim; Kappeler, Thomas
18
2007
Estimates for periodic and Dirichlet eigenvalues of the Schrödinger operator with singular potentials. Zbl 1004.34077
Kappeler, T.; Möhr, C.
17
2001
The Miura map on the line. Zbl 1089.35058
Kappeler, Thomas; Perry, Peter; Shubin, Mikhail; Topalov, Peter
16
2005
Asymptotic expansion of the Witten deformation of the analytic torsion. Zbl 0858.57029
Burghelea, D.; Friedlander, L.; Kappeler, T.
15
1996
Gap estimates of the spectrum of Hill’s equation and action variables for KdV. Zbl 0924.58074
Kappeler, T.; Mityagin, B.
15
1999
Qualitative features of periodic solutions of KdV. Zbl 1274.35330
Kappeler, T.; Schaad, B.; Topalov, P.
15
2013
Solutions of the Korteweg-de Vries equation with steplike initial data. Zbl 0598.35118
Kappeler, Thomas
14
1986
Banach spaces with the condition of Mazur. Zbl 0658.46010
Kappeler, T.
13
1986
Birkhoff coordinates for KdV on phase spaces of distributions. Zbl 1089.37042
Kappeler, 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 0651.35075
Cohen, Amy; Kappeler, Thomas
11
1987
On Birkhoff coordinates for KdV. Zbl 1017.76015
Kappeler, T.; Makarov, M.
11
2001
Birkhoff coordinates for the focusing NLS equation. Zbl 1176.35168
Kappeler, T.; Lohrmann, P.; Topalov, P.; Zung, N. T.
11
2009
Gap estimates of the spectrum of the Zakharov-Shabat system. Zbl 0940.35186
Grébert, B.; Kappeler, T.; Mityagin, B.
10
1998
Torsions for manifolds with boundary and glueing formulas. Zbl 0959.58041
Burghelea, Dan; Friedlander, Leonid; Kappeler, Thomas
10
1999
Comparison of the refined analytic and the Burghelea-Haller torsions. Zbl 1147.58033
Braverman, Maxim; Kappeler, Thomas
10
2007
Fibration of the phase space for the Korteweg-de Vries equation. Zbl 0731.58033
Kappeler, Thomas
10
1991
A KAM theorem for the defocusing NLS equation. Zbl 1234.35248
Kappeler, Thomas; Liang, Zhenguo
10
2012
Results on normal forms for FPU chains. Zbl 1168.70005
Henrici, Andreas; Kappeler, Thomas
9
2008
Global Birkhoff coordinates for the periodic Toda lattice. Zbl 1167.37029
Henrici, Andreas; Kappeler, Thomas
9
2008
Global fold structure of the Miura map on \(L^2({\mathbb{T}})\). Zbl 1076.35111
Kappeler, T.; Topalov, P.
9
2004
Ray-Singer type theorem for the refined analytic torsion. Zbl 1122.58018
Braverman, Maxim; Kappeler, Thomas
9
2007
On the spectrum of the Lax operator of the Benjamin-Ono equation on the torus. Zbl 1452.37070
Gérard, 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 1428.35488
Carles, Rémi; Kappeler, Thomas
9
2017
Solutions to the Korteweg-de Vries equation with irregular initial profile. Zbl 0606.35079
Kappeler, Thomas
8
1986
On the symplectic structure of the phase space for periodic KdV, Toda, and defocusing NLS. Zbl 0855.58035
Bättig, D.; Bloch, A. M.; Guillot, J.-C.; Kappeler, T.
8
1995
On the Korteweg-de Vries equation: Frequencies and initial value problem. Zbl 0899.35096
Bättig, D.; Kappeler, T.; Mityagin, B.
8
1997
A refinement of the Ray-Singer torsion. Zbl 1086.58015
Braverman, Maxim; Kappeler, Thomas
8
2005
(Large) KAM tori for perturbations of the defocusing NLS equation. Zbl 1465.35002
Berti, Massimiliano; Kappeler, Thomas; Montalto, Riccardo
8
2018
Betti numbers of random manifolds. Zbl 1136.55014
Farber, Michael; Kappeler, Thomas
8
2008
Asymptotics of spectral quantities of Schrödinger operators. Zbl 1317.81119
Kappeler, T.; Schaad, B.; Topalov, P.
8
2012
On the wellposedness of the KdV/KdV2 equations and their frequency maps. Zbl 1406.37050
Kappeler, Thomas; Molnar, Jan-Cornelius
8
2018
Scattering-like phenomena of the periodic defocusing NLS equation. Zbl 1390.35330
Kappeler, T.; Schaad, B.; Topalov, P.
8
2017
Global action-angle variables for the periodic Toda lattice. Zbl 1166.37026
Henrici, Andreas; Kappeler, Thomas
7
2008
Solutions to the cubic Schrödinger equation by the inverse scattering method. Zbl 0755.35126
Cohen, Amy; Kappeler, Thomas
7
1992
Estimates on periodic and Dirichlet eigenvalues for the Zakharov-Shabat system. Zbl 0982.34073
Grébert, B.; Kappeler, T.
7
2001
On the well-posedness of the defocusing mKdV equation below \(L^{2}\). Zbl 1368.37078
Kappeler, Thomas; Molnar, Jan-Cornelius
7
2017
Fibration of the phase space of the periodic Toda lattice. Zbl 0863.58032
Bättig, D.; Grébert, B.; Guillot, J. C.; Kappeler, T.
7
1993
A canonical quadratic form on the determinant line of a flat vector bundle. Zbl 1146.58023
Braverman, Maxim; Kappeler, Thomas
6
2008
Solutions of mKdV in classes of functions unbounded at infinity. Zbl 1155.35087
Kappeler, T.; Perry, P.; Shubin, M.; Topalov, P.
6
2008
mKdV and its Birkhoff coordinates. Zbl 1143.76400
Kappeler, T.; Schaad, B.; Topalov, P.
6
2008
Riemannian exponential maps of the diffeomorphism group of \(\mathbb T^2\). Zbl 1161.58008
Kappeler, Thomas; Loubet, Enrique; Topalov, Peter
6
2008
Resonant normal form for even periodic FPU chains. Zbl 1181.37081
Henrici, Andreas; Kappeler, Thomas
6
2009
Topics of stochastic algebraic topology. Zbl 1347.05225
Costa, A. E.; Farber, M.; Kappeler, T.
6
2012
Isospectrality and heat content. Zbl 1297.58008
van den Berg, M.; Dryden, E. B.; Kappeler, T.
6
2014
On isospectral potentials on tori. Zbl 0732.35064
Gordon, Carolyn S.; Kappeler, Thomas
6
1991
Well-posedness of KdV on \(H^{-1}(\mathbb T)\). Zbl 1101.35367
Kappeler, T.; Topalov, P.
6
2004
On the symplectic phase space of KdV. Zbl 1167.35039
Kappeler, T.; Serier, F.; Topalov, P.
5
2008
Symmetries of the nonlinear Schrödinger equation. Zbl 1044.35088
Grébert, Benoît; Kappeler, Thomas
5
2002
Perturbations of the harmonic map equation. Zbl 1063.58012
Kappeler, T.; Kuksin, S.; Schroeder, V.
5
2003
Perturbations of the defocusing nonlinear Schrödinger equation. Zbl 1048.37067
Grébert, B.; Kappeler, T.
5
2003
On the integrability of the Benjamin-Ono equation on the torus. Zbl 1471.35354
Gérard, Patrick; Kappeler, Thomas
5
2021
On the periodic KdV equation in weighted Sobolev spaces. Zbl 1177.35199
Kappeler, Thomas; Pöschel, Jürgen
5
2009
Birkhoff normal form for the periodic Toda lattice. Zbl 1149.37031
Henrici, Andreas; Kappeler, Thomas
4
2008
Riccati map on \(L_{0}^{2}(\mathbb T)\) and its applications. Zbl 1085.34067
Kappeler, Thomas; Topalov, Peter
4
2005
Regularized determinants for pseudodifferential operators in vector bundles over \(S^ 1\). Zbl 0784.35126
Burghelea, D.; Friedlander, L.; Kappeler, T.
4
1993
On action-angle variables for the second Poisson bracket of KdV. Zbl 1003.37038
Kappeler, T.; Makarov, M.
4
2000
Relative torsion. Zbl 0994.58018
Burghelea, Dan; Friedlander, Leonid; Kappeler, Thomas
4
2001
Properties of the scattering map. Zbl 0595.34027
Kappeler, Thomas; Trubowitz, Eugene
4
1986
From Toda to KdV. (De Toda à KdV.) Zbl 1181.37110
Bambusi, Dario; Kappeler, Thomas; Paul, Thierry
4
2009
On the characterization of the smoothness of skew-adjoint potentials in periodic Dirac operators. Zbl 1191.47060
Kappeler, T.; Serier, F.; Topalov, P.
4
2009
On the convexity of the KdV Hamiltonian. Zbl 1353.35251
Kappeler, Thomas; Maspero, Alberto; Molnar, Jan; Topalov, Peter
4
2016
From Toda to KdV. Zbl 1334.37078
Bambusi, D.; Kappeler, T.; Paul, T.
4
2015
On isospectral potentials on a discrete lattice. II. Zbl 0675.35023
Kappeler, Thomas
4
1988
Inverse spectral results on even dimensional tori. Zbl 1159.58015
Gordon, Carolyn S.; Guerini, Pierre; Kappeler, Thomas; Webb, David L.
3
2008
Infinite gain of regularity for dispersive evolution equations. Zbl 0767.35076
Craig, W.; Kappeler, T.; Strauss, W.
3
1991
A note on gaps of Hill’s equation. Zbl 1082.34072
Grébert, Benoît; Kappeler, Thomas; Pöschel, Jürgen
3
2004
Nekhoroshev theorem for the periodic Toda lattice. Zbl 1317.37057
Henrici, Andreas; Kappeler, Thomas
3
2009
Renormalization group flow of a hierarchical sine-Gordon model by partial differential equations. Zbl 0729.35128
Kappeler, Thomas; Pinn, Klaus; Wieczerkowski, Christian
3
1991
Properties of the scattering map. II. Zbl 0694.34022
Kappeler, Thomas; Trubowitz, Eugene
3
1988
Strong nonresonance of Schrödinger operators and an averaging theorem. Zbl 0885.35119
Kappeler, T.; Kuksin, S.
3
1995
On the Birkhoff normal form of a completely integrable Hamiltonian system near a fixed point with resonance. Zbl 0919.58030
Kappeler, Thomas; Kodama, Yuji; Némethi, Andras
3
1998
Multiplicities of the eigenvalues of the discrete Schrödinger equation in any dimension. Zbl 0641.39002
Burghelea, Dan; Kappeler, Thomas
2
1988
Multiplicities of the eigenvalues of the Schrödinger equation in any dimension. Zbl 0647.35017
Kappeler, Thomas
2
1988
On the nodal line of the second eigenfunction of elliptic operators in two dimensions. Zbl 0658.35068
Kappeler, Thomas; Ruf, Bernhard
2
1989
On the Korteweg-de Vries equation: Convergent Birkhoff normal form. Zbl 0868.35099
Bättig, 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 0805.58062
Burghelea, Dan; Kappeler, Thomas; McDonald, Patrick; Friedlander, Leonid
2
1994
On isospectral potentials on flat tori. II. Zbl 0849.35085
Gordon, Carolyn S.; Kappler, Thomas
2
1995
Written deformation of the analytic torsion and the Reidemeister torsion. Zbl 0907.58070
Burghelea, Dan; Friedlander, Leonid; Kappeler, Thomas
2
1998
Analyticity of Riemannian exponential maps on \(\text{Diff}(T)\). Zbl 1160.22011
Kappeler, 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 0764.58032
Burghelea, D.; Friedlander, L.; Kappeler, Th.
2
1992
Foliation of phase space for the cubic nonlinear Schrödinger equation. Zbl 0783.35068
Bättig, 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 1443.37055
Kappeler, Thomas; Montalto, Riccardo
2
2020
Canonical coordinates with tame estimates for the defocusing NLS equation on the circle. Zbl 1410.35202
Kappeler, Thomas; Montalto, Riccardo
2
2018
On the analytic Birkhoff normal form of the Benjamin-Ono equation and applications. Zbl 07461241
Gérard, Patrick; Kappeler, Thomas; Topalov, Petar
2
2022
On the integrability of the Benjamin-Ono equation on the torus. Zbl 1471.35354
Gérard, Patrick; Kappeler, Thomas
5
2021
Large KAM tori for quasi-linear perturbations of KdV. Zbl 1462.35329
Berti, Massimiliano; Kappeler, Thomas; Montalto, Riccardo
1
2021
On the spectrum of the Lax operator of the Benjamin-Ono equation on the torus. Zbl 1452.37070
Gérard, Patrick; Kappeler, Thomas; Topalov, Petar
9
2020
Normal form coordinates for the KdV equation having expansions in terms of pseudodifferential operators. Zbl 1443.37055
Kappeler, Thomas; Montalto, Riccardo
2
2020
On the nonexistence of local, gauge-invariant Birkhoff coordinates for the focusing NLS equation. Zbl 1447.35298
Kappeler, Thomas; Topalov, Peter
1
2019
(Large) KAM tori for perturbations of the defocusing NLS equation. Zbl 1465.35002
Berti, Massimiliano; Kappeler, Thomas; Montalto, Riccardo
8
2018
On the wellposedness of the KdV/KdV2 equations and their frequency maps. Zbl 1406.37050
Kappeler, Thomas; Molnar, Jan-Cornelius
8
2018
Canonical coordinates with tame estimates for the defocusing NLS equation on the circle. Zbl 1410.35202
Kappeler, Thomas; Montalto, Riccardo
2
2018
On spectral properties of the \(L\) operator in the Lax pair of the sine-Gordon equation. Zbl 1422.37050
Kappeler, 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 1428.35488
Carles, Rémi; Kappeler, Thomas
9
2017
Scattering-like phenomena of the periodic defocusing NLS equation. Zbl 1390.35330
Kappeler, T.; Schaad, B.; Topalov, P.
8
2017
On the well-posedness of the defocusing mKdV equation below \(L^{2}\). Zbl 1368.37078
Kappeler, Thomas; Molnar, Jan-Cornelius
7
2017
On normalized differentials on hyperelliptic curves of infinite genus. Zbl 1367.30026
Kappeler, Thomas; Topalov, Peter
1
2017
On the convexity of the KdV Hamiltonian. Zbl 1353.35251
Kappeler, Thomas; Maspero, Alberto; Molnar, Jan; Topalov, Peter
4
2016
Semi-linearity of the non-linear Fourier transform of the defocusing NLS equation. Zbl 1404.35418
Kappeler, Thomas; Schaad, Beat; Topalov, Peter
1
2016
From Toda to KdV. Zbl 1334.37078
Bambusi, D.; Kappeler, T.; Paul, T.
4
2015
Dynamics of periodic Toda chains with a large number of particles. Zbl 1317.35255
Bambusi, D.; Kappeler, T.; Paul, T.
1
2015
On nonlinear interpolation. Zbl 1336.46022
Kappeler, T.; Topalov, P.
1
2015
The defocusing NLS equation and its normal form. Zbl 1298.35002
Grébert, Benoît; Kappeler, Thomas
36
2014
Isospectrality and heat content. Zbl 1297.58008
van den Berg, M.; Dryden, E. B.; Kappeler, T.
6
2014
On the spectrum of nonself-adjoint Zakharov-Shabat operators on \(\mathbb R\). Zbl 1320.35247
Kappeler, T.; Lohrmann, P.; Topalov, P.
1
2014
Generic non-selfadjoint Zakharov-Shabat operators. Zbl 1319.47012
Kappeler, T.; Lohrmann, P.; Topalov, P.
1
2014
On the regularity of the composition of diffeomorphisms. Zbl 1293.58004
Inci, H.; Kappeler, T.; Topalov, P.
45
2013
Qualitative features of periodic solutions of KdV. Zbl 1274.35330
Kappeler, T.; Schaad, B.; Topalov, P.
15
2013
Topology of random 2-complexes. Zbl 1237.55009
Cohen, D.; Costa, A.; Farber, M.; Kappeler, T.
23
2012
A KAM theorem for the defocusing NLS equation. Zbl 1234.35248
Kappeler, Thomas; Liang, Zhenguo
10
2012
Asymptotics of spectral quantities of Schrödinger operators. Zbl 1317.81119
Kappeler, T.; Schaad, B.; Topalov, P.
8
2012
Topics of stochastic algebraic topology. Zbl 1347.05225
Costa, 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 1231.35204
Kappeler, T.; Lohrmann, P.; Topalov, P.
1
2011
On the space of trajectories of a generic gradient like vector field. Zbl 1240.37016
Burghelea, Dan; Friedlander, Leonid; Kappeler, Thomas
1
2010
Birkhoff coordinates for the focusing NLS equation. Zbl 1176.35168
Kappeler, T.; Lohrmann, P.; Topalov, P.; Zung, N. T.
11
2009
Resonant normal form for even periodic FPU chains. Zbl 1181.37081
Henrici, Andreas; Kappeler, Thomas
6
2009
On the periodic KdV equation in weighted Sobolev spaces. Zbl 1177.35199
Kappeler, Thomas; Pöschel, Jürgen
5
2009
From Toda to KdV. (De Toda à KdV.) Zbl 1181.37110
Bambusi, Dario; Kappeler, Thomas; Paul, Thierry
4
2009
On the characterization of the smoothness of skew-adjoint potentials in periodic Dirac operators. Zbl 1191.47060
Kappeler, T.; Serier, F.; Topalov, P.
4
2009
Nekhoroshev theorem for the periodic Toda lattice. Zbl 1317.37057
Henrici, Andreas; Kappeler, Thomas
3
2009
Refined analytic torsion. Zbl 1147.58034
Braverman, Maxim; Kappeler, Thomas
19
2008
Results on normal forms for FPU chains. Zbl 1168.70005
Henrici, Andreas; Kappeler, Thomas
9
2008
Global Birkhoff coordinates for the periodic Toda lattice. Zbl 1167.37029
Henrici, Andreas; Kappeler, Thomas
9
2008
Betti numbers of random manifolds. Zbl 1136.55014
Farber, Michael; Kappeler, Thomas
8
2008
Global action-angle variables for the periodic Toda lattice. Zbl 1166.37026
Henrici, Andreas; Kappeler, Thomas
7
2008
A canonical quadratic form on the determinant line of a flat vector bundle. Zbl 1146.58023
Braverman, Maxim; Kappeler, Thomas
6
2008
Solutions of mKdV in classes of functions unbounded at infinity. Zbl 1155.35087
Kappeler, T.; Perry, P.; Shubin, M.; Topalov, P.
6
2008
mKdV and its Birkhoff coordinates. Zbl 1143.76400
Kappeler, T.; Schaad, B.; Topalov, P.
6
2008
Riemannian exponential maps of the diffeomorphism group of \(\mathbb T^2\). Zbl 1161.58008
Kappeler, Thomas; Loubet, Enrique; Topalov, Peter
6
2008
On the symplectic phase space of KdV. Zbl 1167.35039
Kappeler, T.; Serier, F.; Topalov, P.
5
2008
Birkhoff normal form for the periodic Toda lattice. Zbl 1149.37031
Henrici, Andreas; Kappeler, Thomas
4
2008
Inverse spectral results on even dimensional tori. Zbl 1159.58015
Gordon, 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 1251.35130
Kappeler, Thomas; Pöschel, Jürgen
2
2008
On geodesic exponential maps of the Virasoro group. Zbl 1121.35111
Constantin, A.; Kappeler, T.; Kolev, B.; Topalov, P.
104
2007
Low-regularity solutions of the periodic Camassa-Holm equation. Zbl 1123.35045
de Lellis, Camillo; Kappeler, Thomas; Topalov, Peter
20
2007
Refined analytic torsion as an element of the determinant line. Zbl 1135.58014
Braverman, Maxim; Kappeler, Thomas
18
2007
Comparison of the refined analytic and the Burghelea-Haller torsions. Zbl 1147.58033
Braverman, Maxim; Kappeler, Thomas
10
2007
Ray-Singer type theorem for the refined analytic torsion. Zbl 1122.58018
Braverman, Maxim; Kappeler, Thomas
9
2007
Analyticity of Riemannian exponential maps on \(\text{Diff}(T)\). Zbl 1160.22011
Kappeler, T.; Loubet, E.; Topalov, P.
2
2007
Global wellposedness of KdV in \(H^{-1}(\mathbb T,\mathbb R)\). Zbl 1106.35081
Kappeler, T.; Topalov, P.
75
2006
Global well-posedness of mKdV in \(L^2 (\mathbb T, \mathbb R)\). Zbl 1080.35119
Kappeler, T.; Topalov, P.
22
2005
The Miura map on the line. Zbl 1089.35058
Kappeler, Thomas; Perry, Peter; Shubin, Mikhail; Topalov, Peter
16
2005
Birkhoff coordinates for KdV on phase spaces of distributions. Zbl 1089.37042
Kappeler, T.; Möhr, C.; Topalov, P.
13
2005
A refinement of the Ray-Singer torsion. Zbl 1086.58015
Braverman, Maxim; Kappeler, Thomas
8
2005
Riccati map on \(L_{0}^{2}(\mathbb T)\) and its applications. Zbl 1085.34067
Kappeler, Thomas; Topalov, Peter
4
2005
Counting solutions of perturbed harmonic map equations. Zbl 1092.58012
Kappeler, Thomas; Latschev, Janko
2
2005
Poincaré inequalities for maps with target manifold of negative curvature. Zbl 1093.53037
Kappeler, T.; Schroeder, V.; Kuksin, S.
1
2005
Global fold structure of the Miura map on \(L^2({\mathbb{T}})\). Zbl 1076.35111
Kappeler, T.; Topalov, P.
9
2004
Well-posedness of KdV on \(H^{-1}(\mathbb T)\). Zbl 1101.35367
Kappeler, T.; Topalov, P.
6
2004
A note on gaps of Hill’s equation. Zbl 1082.34072
Grébert, Benoît; Kappeler, Thomas; Pöschel, Jürgen
3
2004
Lusternik-Schnirelman theory and dynamics. II. Zbl 1106.58007
Farber, M.; Kappeler, T.
2
2004
Smooth Lyapunov 1-forms. Zbl 1084.37014
Farber, M.; Kappeler, T.; Latschev, J.; Zehnder, E.
1
2004
Lyapunov 1-forms for flows. Zbl 1087.37012
Farber, M.; Kappeler, T.; Latschev, J.; Zehnder, E.
1
2004
KdV & KAM. Zbl 1032.37001
Kappeler, Thomas; Pöschel, Jürgen
66
2003
Perturbations of the harmonic map equation. Zbl 1063.58012
Kappeler, T.; Kuksin, S.; Schroeder, V.
5
2003
Perturbations of the defocusing nonlinear Schrödinger equation. Zbl 1048.37067
Grébert, B.; Kappeler, T.
5
2003
Density of finite gap potentials for the Zakharov-Shabat system. Zbl 1037.34078
Grébert, B.; Kappeler, T.
1
2003
On the Korteweg-de Vries equation and KAM theory. Zbl 1033.35101
Kappeler, Thomas; Pöschel, Jürgen
1
2003
Symmetries of the nonlinear Schrödinger equation. Zbl 1044.35088
Grébert, Benoît; Kappeler, Thomas
5
2002
Estimates for periodic and Dirichlet eigenvalues of the Schrödinger operator. Zbl 1097.34553
Kappeler, T.; Mityagin, B.
23
2001
Estimates for periodic and Dirichlet eigenvalues of the Schrödinger operator with singular potentials. Zbl 1004.34077
Kappeler, T.; Möhr, C.
17
2001
On Birkhoff coordinates for KdV. Zbl 1017.76015
Kappeler, T.; Makarov, M.
11
2001
Estimates on periodic and Dirichlet eigenvalues for the Zakharov-Shabat system. Zbl 0982.34073
Grébert, B.; Kappeler, T.
7
2001
Relative torsion. Zbl 0994.58018
Burghelea, Dan; Friedlander, Leonid; Kappeler, Thomas
4
2001
On action-angle variables for the second Poisson bracket of KdV. Zbl 1003.37038
Kappeler, T.; Makarov, M.
4
2000
Gap estimates of the spectrum of Hill’s equation and action variables for KdV. Zbl 0924.58074
Kappeler, T.; Mityagin, B.
15
1999
Torsions for manifolds with boundary and glueing formulas. Zbl 0959.58041
Burghelea, Dan; Friedlander, Leonid; Kappeler, Thomas
10
1999
Gap estimates of the spectrum of the Zakharov-Shabat system. Zbl 0940.35186
Grébert, 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 0919.58030
Kappeler, Thomas; Kodama, Yuji; Némethi, Andras
3
1998
Written deformation of the analytic torsion and the Reidemeister torsion. Zbl 0907.58070
Burghelea, Dan; Friedlander, Leonid; Kappeler, Thomas
2
1998
On the Korteweg-de Vries equation: Frequencies and initial value problem. Zbl 0899.35096
Bättig, D.; Kappeler, T.; Mityagin, B.
8
1997
Analytic and Reidemeister torsion for representations in finite type Hilbert modules. Zbl 0874.57025
Burghelea, D.; Friedlander, L.; Kappeler, T.; McDonald, P.
26
1996
Asymptotic expansion of the Witten deformation of the analytic torsion. Zbl 0858.57029
Burghelea, D.; Friedlander, L.; Kappeler, T.
15
1996
On the Korteweg-de Vries equation: Convergent Birkhoff normal form. Zbl 0868.35099
Bättig, D.; Kappeler, T.; Mityagin, B.
2
1996
Microlocal dispersive smoothing for the Schrödinger equation. Zbl 0856.35106
Craig, Walter; Kappeler, Thomas; Strauss, Walter
58
1995
On the determinant of elliptic boundary value problems on a line segment. Zbl 0848.34063
Burghelea, D.; Friedlander, L.; Kappeler, T.
22
1995
On the symplectic structure of the phase space for periodic KdV, Toda, and defocusing NLS. Zbl 0855.58035
Bättig, D.; Bloch, A. M.; Guillot, J.-C.; Kappeler, T.
8
1995
Strong nonresonance of Schrödinger operators and an averaging theorem. Zbl 0885.35119
Kappeler, T.; Kuksin, S.
3
1995
On isospectral potentials on flat tori. II. Zbl 0849.35085
Gordon, Carolyn S.; Kappler, Thomas
2
1995
On the functional logdet and related flows on the space of closed embedded curves on \(S^ 2\). Zbl 0805.58062
Burghelea, Dan; Kappeler, Thomas; McDonald, Patrick; Friedlander, Leonid
2
1994
Fibration of the phase space of the periodic Toda lattice. Zbl 0863.58032
Bättig, D.; Grébert, B.; Guillot, J. C.; Kappeler, T.
7
1993
Regularized determinants for pseudodifferential operators in vector bundles over \(S^ 1\). Zbl 0784.35126
Burghelea, D.; Friedlander, L.; Kappeler, T.
4
1993
...and 31 more Documents
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
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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. EDP et Applications
5 Letters in Mathematical Physics
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Discrete & Computational Geometry
5 Geometric and Functional Analysis. GAFA
5 NoDEA. Nonlinear Differential Equations and Applications
5 Nonlinear Analysis. Real World Applications
5 Journal of Hyperbolic Differential Equations
5 Journal of Topology and Analysis
5 Analysis and Mathematical Physics
4 Russian Mathematical Surveys
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Reviews in Mathematical Physics
4 Journal of Computational and Applied Mathematics
4 Manuscripta Mathematica
4 Monatshefte für Mathematik
4 Probability Theory and Related Fields
4 Random Structures & Algorithms
4 Bulletin of the American Mathematical Society. New Series
4 Russian Journal of Mathematical Physics
4 Geometry & Topology
4 Journal of the European Mathematical Society (JEMS)
4 Communications in Contemporary Mathematics
4 Communications on Pure and Applied Analysis
4 Journal of Geometric Mechanics
4 Forum of Mathematics, Sigma
3 Israel Journal of Mathematics
3 Journal of Statistical Physics
3 Mathematical Methods in the Applied Sciences
3 Mathematical Notes
3 Wave Motion
3 Applied Mathematics and Computation
3 Glasgow Mathematical Journal
3 Integral Equations and Operator Theory
3 Mathematische Zeitschrift
3 Memoirs of the American Mathematical Society
3 Quarterly of Applied Mathematics
3 Chinese Annals of Mathematics. Series B
3 Differential Geometry and its Applications
3 Journal of Nonlinear Science
3 Abstract and Applied Analysis
3 Regular and Chaotic Dynamics
3 Journal of High Energy Physics
3 Journal of Evolution Equations
3 Algebraic & Geometric Topology
3 Journal of Spectral Theory
3 Nonlinear Analysis. 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
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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)

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