Edit Profile (opens in new tab) Koch, Herbert Compute Distance To: Compute Author ID: koch.herbert Published as: Koch, Herbert; Koch, H.; Kokh, Kh. External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 91 Publications since 1990, including 3 Books 7 Contributions as Editor Co-Authors: 63 Co-Authors with 78 Joint Publications 2,125 Co-Co-Authors all top 5 Co-Authors 18 single-authored 24 Tataru, Daniel 6 Kenig, Carlos Eduardo 5 Rüland, Angkana 5 Shi, Wenhui 3 Ben-Artzi, Matania 3 Herr, Sebastian 3 Saut, Jean-Claude 3 Smith, Hart F. 3 Tzvetkov, Nikolay 2 Antman, Stuart S. 2 Cooper, Jeffery M. 2 Denzler, Jochen 2 Hadac, Martin 2 Lamm, Tobias 2 Lasiecka, Irena 2 McCann, Robert J. 2 Solonnikov, Vsevolod Alekseevich 2 Visan, Monica 2 Zhang, Yi Ru-Ya 2 Zhou, Yuan 1 Anantharaman, Nalini 1 Bauer, Thomas 1 Benachour, Said 1 Buckmaster, Tristan 1 Bunke, Ulrich 1 Colombini, Ferruccio 1 Dittus, Hansjörg 1 Greger, R. 1 Gubinelli, Massimiliano 1 Hochbruck, Marlis 1 Ionescu, Alexandru D. 1 Karabash, Illya M. 1 Kato, Jun 1 Kienzler, Clemens 1 Koskela, Pekka 1 Laurençot, Philippe 1 Leoni, Giovanni 1 Li, Junfeng 1 Liao, Xian 1 Lin, Ching-Lung 1 Lochmann, St. 1 Lück, Wolfgang 1 Marzuola, Jeremy L. 1 Mazilu, Petrisor 1 Mehls, C. 1 Morini, Massimiliano 1 Nietzsche, S. 1 Nonnenmacher, Stéphane 1 Oh, Sung-Jin 1 Oh, Tadahiro 1 Ostermann, Alexander 1 Petrosyan, Arshak 1 Pipher, Jill Catherine 1 Prediger, Susanne 1 Raphael, Pierre 1 Ricci, Fulvio 1 Roth, Jürgen 1 Saksman, Eero 1 Salo, Mikko 1 Sickel, Winfried 1 Soto, Tomás 1 Stahel, Andreas 1 Steinerberger, Stefan 1 Toro, Tatiana 1 Vazquez, Juan Luis 1 Verbytskyi, Ievgen V. 1 Vodel, W. 1 von Zameck Glyscinski, J. 1 Wang, Jenn-Nan 1 Zuazua, Enrique 1 Zworski, Maciej all top 5 Serials 8 Communications in Partial Differential Equations 6 Oberwolfach Reports 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Advances in Mathematics 3 Communications on Pure and Applied Mathematics 3 IMRN. International Mathematics Research Notices 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Duke Mathematical Journal 2 Journal of Functional Analysis 2 Mathematische Zeitschrift 2 Transactions of the American Mathematical Society 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Mathematical Analysis 2 Journal of Dynamics and Differential Equations 2 The New York Journal of Mathematics 2 Mathematical Research Letters 2 Séminaire Laurent Schwartz. EDP et Applications 1 Classical and Quantum Gravity 1 Communications in Mathematical Physics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Studia Mathematica 1 American Journal of Mathematics 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Revista Matemática Iberoamericana 1 Mathematica Bohemica 1 SIAM Journal on Applied Mathematics 1 Expositiones Mathematicae 1 Calculus of Variations and Partial Differential Equations 1 Advances in Differential Equations 1 Problemy Matematicheskogo Analiza 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 The Asian Journal of Mathematics 1 Annales Henri Poincaré 1 Oberwolfach Seminars 1 Discrete and Continuous Dynamical Systems. Series S 1 Analysis & PDE 1 Nonlinear Analysis. Theory, Methods & Applications 1 Ars Inveniendi Analytica all top 5 Fields 87 Partial differential equations (35-XX) 12 Fluid mechanics (76-XX) 11 Dynamical systems and ergodic theory (37-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 General and overarching topics; collections (00-XX) 7 Mechanics of deformable solids (74-XX) 6 Functional analysis (46-XX) 6 Operator theory (47-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Quantum theory (81-XX) 2 Ordinary differential equations (34-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-XX) 2 Probability theory and stochastic processes (60-XX) 2 Optics, electromagnetic theory (78-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 76 Publications have been cited 1,817 times in 1,455 Documents Cited by ▼ Year ▼ Well-posedness for the Navier-Stokes equations. Zbl 0972.35084Koch, Herbert; Tataru, Daniel 374 2001 Well-posedness and scattering for the KP-II equation in a critical space. Zbl 1169.35372Hadac, Martin; Herr, Sebastian; Koch, Herbert 92 2009 Dispersion estimates for fourth order Schrödinger equations. Zbl 0942.35160Ben-Artzi, Matania; Koch, Herbert; Saut, Jean-Claude 90 2000 Dispersive estimates for principally normal pseudodifferential operators. Zbl 1078.35143Koch, Herbert; Tataru, Daniel 85 2005 On the local well-posedness of the Benjamin-Ono equation in \(H^S(\mathbb{R})\). Zbl 1039.35106Koch, H.; Tzvetkov, N. 84 2003 Carleman estimates and unique continuation for second-order elliptic equations with nonsmooth coefficients. Zbl 1033.35025Koch, Herbert; Tataru, Daniel 70 2001 A priori bounds for the 1D cubic NLS in negative Sobolev spaces. Zbl 1169.35055Koch, Herbert; Tataru, Daniel 66 2007 Nonlinear wave interactions for the Benjamin-Ono equation. Zbl 1156.35460Koch, Herbert; Tzvetkov, N. 64 2005 A new approach to absolute continuity of elliptic measure, with applications to non-symmetric equations. Zbl 0958.35025Kenig, C.; Koch, H.; Pipher, J.; Toro, T. 63 2000 Geometric flows with rough initial data. Zbl 1252.35159Koch, Herbert; Lamm, Tobias 53 2012 Hadamard well-posedness of weak solutions in nonlinear dynamic elasticity-full von Karman systems. Zbl 1027.35003Koch, Herbert; Lasiecka, Irena 48 2002 \(L^p\) eigenfunction bounds for the Hermite operator. Zbl 1075.35020Koch, Herbert; Tataru, Daniel 46 2005 Carleman estimates and absence of embedded eigenvalues. Zbl 1151.35025Koch, Herbert; Tataru, Daniel 45 2006 Carleman estimates and unique continuation for second order parabolic equations with nonsmooth coefficients. Zbl 1178.35107Koch, Herbert; Tataru, Daniel 33 2009 Semiclassical \(L^p\) estimates. Zbl 1133.58025Koch, Herbert; Tataru, Daniel; Zworski, Maciej 32 2007 Dispersive equations and nonlinear waves. Generalized Korteweg-de Vries, nonlinear Schrödinger, wave and Schrödinger maps. Zbl 1304.35003Koch, Herbert; Tataru, Daniel; Vişan, Monica 29 2014 A para-differential renormalization technique for nonlinear dispersive equations. Zbl 1214.35089Herr, Sebastian; Ionescu, Alexandru D.; Kenig, Carlos E.; Koch, Herbert 27 2010 Higher regularity of the free boundary in the elliptic Signorini problem. Zbl 1329.35362Koch, Herbert; Petrosyan, Arshak; Shi, Wenhui 25 2015 Decay of mass for a semilinear parabolic equation. Zbl 0931.35066Ben-Artzi, Matania; Koch, Herbert 23 1999 On optimal regularity of free boundary problems and a conjecture of De Giorgi. Zbl 1082.35168Koch, Herbert; Leoni, Giovanni; Morini, Massimiliano 23 2005 Sharp counterexamples in unique continuation for second order elliptic equations. Zbl 1222.35050Koch, Herbert; Tataru, Daniel 21 2002 Spectral projections for the twisted Laplacian. Zbl 1120.43005Koch, Herbert; Ricci, Fulvio 20 2007 Global existence of classical solutions to the dynamical von Kármán equations. Zbl 0778.73029Koch, Herbert; Stahel, Andreas 20 1993 Energy and local energy bounds for the 1-d cubic NLS equation in \(H^{-\frac{1}{4}}\). Zbl 1280.35137Koch, Herbert; Tataru, Daniel 19 2012 Conserved energies for the cubic nonlinear Schrödinger equation in one dimension. Zbl 1434.35181Koch, Herbert; Tataru, Daniel 19 2018 Renormalization of the two-dimensional stochastic nonlinear wave equations. Zbl 1400.35240Gubinelli, Massimiliano; Koch, Herbert; Oh, Tadahiro 19 2018 Dispersion estimates for third order equations in two dimensions. Zbl 1060.35122Ben-Artzi, Matania; Koch, Herbert; Saut, Jean-Claude 18 2003 Erratum to “Well-posedness and scattering for the KP-II equation in a critical space” [Ann. I. H. Poincaré - AN 26 (3) (2009) 917-941]. Zbl 1188.35162Hadac, Martin; Herr, Sebastian; Koch, Herbert 15 2010 Bounded compositions on scaling invariant Besov spaces. Zbl 1359.47019Koch, Herbert; Koskela, Pekka; Saksman, Eero; Soto, Tomás 14 2014 The Korteweg-de Vries equation at \(H^{-1}\) regularity. Zbl 1331.35300Buckmaster, Tristan; Koch, Herbert 14 2015 Strong unique continuation for products of elliptic operators of second order. Zbl 1184.35091Colombini, Ferruccio; Koch, Herbert 14 2010 Transport and instability for perfect fluids. Zbl 1006.76008Koch, Herbert 13 2002 Mixed problems for fully nonlinear hyperbolic equations. Zbl 0790.35073Koch, Herbert 12 1993 The variable coefficient thin obstacle problem: Carleman inequalities. Zbl 1346.35240Koch, Herbert; Rüland, Angkana; Shi, Wenhui 11 2016 Small data scattering and soliton stability in \(\dot{H}^{-1/6}\) for the quartic KdV equation. Zbl 1267.35184Koch, Herbert; Marzuola, Jeremy L. 11 2012 Self-similar solutions to super-critical gKdV. Zbl 1317.35222Koch, Herbert 11 2015 On finite energy solutions of the KP-I equation. Zbl 1387.35530Koch, H.; Tzvetkov, N. 11 2008 Pointwise multipliers of Besov spaces of smoothness zero and spaces of continuous functions. Zbl 1036.46024Koch, Herbert; Sickel, Winfried 10 2002 Slow decay in linear thermoelasticity. Zbl 1151.74339Koch, Herbert 10 2000 A hybrid system of PDE’s arising in multi-structure interaction: coupling of wave equations in \(n\) and \(n-1\) space dimensions. Zbl 1108.35110Koch, Herbert; Zuazua, Enrique 10 2006 The variable coefficient thin obstacle problem: optimal regularity and regularity of the regular free boundary. Zbl 1435.35421Koch, Herbert; Rüland, Angkana; Shi, Wenhui 9 2017 \(L_q\)-estimates of the first-order derivatives of solutions to the nonstationary Stokes problem. Zbl 1046.35085Koch, Herbert; Solonnikov, Vsevolod A. 9 2002 Uniqueness of the modified Schrödinger map in \(H^{3/4+\varepsilon(\mathbb R^{2})}\). Zbl 1387.35139Kato, Jun; Koch, Herbert 9 2007 Higher regularity for the fractional thin obstacle problem. Zbl 1423.35465Koch, Herbert; Rüland, Angkana; Shi, Wenhui 9 2019 On the spectrum of hyperbolic semigroups. Zbl 0823.35108Koch, Herbert; Tataru, Daniel 8 1995 Entropy of eigenfunctions. Zbl 1175.81118Anantharaman, Nalini; Koch, Herbert; Nonnenmacher, Stéphane 8 2009 Stability and Hopf bifurcation for fully nonlinear parabolic-hyperbolic equations. Zbl 1049.35145Koch, Herbert; Antman, Stuart S. 7 2000 Classical solutions to phase transition problems are smooth. Zbl 0904.35014Koch, Herbert 7 1998 Flatness implies smoothness for solutions of the porous medium equation. Zbl 1403.35065Kienzler, Clemens; Koch, Herbert; Vázquez, Juan Luis 6 2018 Doubling inequalities for the Lamé system with rough coefficients. Zbl 1352.35035Koch, Herbert; Lin, Ching-Lung; Wang, Jenn-Nan 6 2016 Parabolic equations with rough data. Zbl 1363.35194Koch, Herbert; Lamm, Tobias 5 2015 The variable coefficient thin obstacle problem: higher regularity. Zbl 1377.35289Koch, Herbert; Rüland, Angkana; Shi, Wenhui 5 2017 Recent results on unique continuation for second order elliptic equations. Zbl 1194.35119Koch, Herbert; Tataru, Daniel 5 2001 The spectrum of a hyperbolic evolution operator. Zbl 0857.35075Cooper, Jeffery; Koch, Herbert 5 1995 An asymptotic sharp Sobolev regularity for planar infinity harmonic functions. Zbl 1435.35143Koch, Herbert; Zhang, Yi Ru-Ya; Zhou, Yuan 5 2019 Partial differential equations with non-Euclidean geometries. Zbl 1176.35054Koch, Herbert 5 2008 Convolution estimates for singular measures and some global nonlinear Brascamp-Lieb inequalities. Zbl 1336.26014Koch, Herbert; Steinerberger, Stefan 4 2015 Hyperbolic equations of second order. Zbl 0717.35058Koch, Herbert 4 1990 Higher-order time asymptotics of fast diffusion in Euclidean space: a dynamical systems approach. Zbl 1315.35004Denzler, Jochen; Koch, Herbert; McCann, Robert J. 4 2015 Global well-posedness and scattering for small data for the three-dimensional Kadomtsev-Petviashvili II equation. Zbl 1373.35274Koch, Herbert; Li, Junfeng 4 2017 Very singular solutions to a nonlinear parabolic equation with absorption. II: Uniqueness. Zbl 1063.35074Benachour, Saïd; Koch, Herbert; Laurençot, Philippe 3 2004 Local smoothing and local solvability for third order dispersive equations. Zbl 1125.35075Koch, Herbert; Saut, Jean-Claude 3 2007 Partial differential equations and singular integrals. Zbl 1141.42012Koch, Herbert 3 2004 Small periodic solutions of quasilinear hyperbolic equations. Zbl 0938.35512Koch, Herbert 2 1993 Self-sustained oscillations of nonlinearly viscoelastic layers. Zbl 0956.35009Antman, Stuart S.; Koch, Herbert 2 2000 Finite dimensional aspects of semilinear parabolic equations. Zbl 0860.35056Koch, Herbert 2 1996 Backward uniqueness in linear thermoelasticity with time and space variable coefficients. Zbl 1157.35490Koch, Herbert; Lasiecka, Irena 2 2008 Sharp \(L^q\) bounds on spectral clusters for Hölder metrics. Zbl 1128.58014Koch, Herbert; Smith, Hart F.; Tataru, Daniel 2 2007 Some sharp Sobolev regularity for inhomogeneous infinity Laplace equation in plane. Zbl 1435.35161Koch, Herbert; Zhang, Yi Ru-Ya; Zhou, Yuan 2 2019 \(L_p\)-estimates for a solution to the nonstationary Stokes equations. Zbl 0987.35121Kokh, Kh.; Solonnikov, V. A. 2 2001 Remarks on the spectrum of a linear wave operator with time periodic boundary condition. Zbl 0838.35088Cooper, Jeffery; Koch, Herbert 1 1995 The \(\eta\)-form and a generalized Maslov index. Zbl 0920.58045Bunke, Ulrich; Koch, Herbert 1 1998 Testing the weak equivalence principle at the Bremen drop tower: Report on recent developments. Zbl 0875.83025Dittus, H.; Greger, R.; Lochmann, St.; Vodel, W.; Koch, H.; Nietzsche, S.; von Zameck Glyscinski, J.; Mehls, C.; Mazilu, P. 1 1996 On center manifolds. Zbl 0874.34047Koch, Herbert 1 1997 Global classical solutions to a two-phase Stefan problem. Zbl 0883.35135Koch, Herbert 1 1997 Subcritical \(L^p\) bounds on spectral clusters for Lipschitz metrics. Zbl 1159.58017Koch, Herbert; Smith, Hart F.; Tataru, Daniel 1 2008 Higher regularity for the fractional thin obstacle problem. Zbl 1423.35465Koch, Herbert; Rüland, Angkana; Shi, Wenhui 9 2019 An asymptotic sharp Sobolev regularity for planar infinity harmonic functions. Zbl 1435.35143Koch, Herbert; Zhang, Yi Ru-Ya; Zhou, Yuan 5 2019 Some sharp Sobolev regularity for inhomogeneous infinity Laplace equation in plane. Zbl 1435.35161Koch, Herbert; Zhang, Yi Ru-Ya; Zhou, Yuan 2 2019 Conserved energies for the cubic nonlinear Schrödinger equation in one dimension. Zbl 1434.35181Koch, Herbert; Tataru, Daniel 19 2018 Renormalization of the two-dimensional stochastic nonlinear wave equations. Zbl 1400.35240Gubinelli, Massimiliano; Koch, Herbert; Oh, Tadahiro 19 2018 Flatness implies smoothness for solutions of the porous medium equation. Zbl 1403.35065Kienzler, Clemens; Koch, Herbert; Vázquez, Juan Luis 6 2018 The variable coefficient thin obstacle problem: optimal regularity and regularity of the regular free boundary. Zbl 1435.35421Koch, Herbert; Rüland, Angkana; Shi, Wenhui 9 2017 The variable coefficient thin obstacle problem: higher regularity. Zbl 1377.35289Koch, Herbert; Rüland, Angkana; Shi, Wenhui 5 2017 Global well-posedness and scattering for small data for the three-dimensional Kadomtsev-Petviashvili II equation. Zbl 1373.35274Koch, Herbert; Li, Junfeng 4 2017 The variable coefficient thin obstacle problem: Carleman inequalities. Zbl 1346.35240Koch, Herbert; Rüland, Angkana; Shi, Wenhui 11 2016 Doubling inequalities for the Lamé system with rough coefficients. Zbl 1352.35035Koch, Herbert; Lin, Ching-Lung; Wang, Jenn-Nan 6 2016 Higher regularity of the free boundary in the elliptic Signorini problem. Zbl 1329.35362Koch, Herbert; Petrosyan, Arshak; Shi, Wenhui 25 2015 The Korteweg-de Vries equation at \(H^{-1}\) regularity. Zbl 1331.35300Buckmaster, Tristan; Koch, Herbert 14 2015 Self-similar solutions to super-critical gKdV. Zbl 1317.35222Koch, Herbert 11 2015 Parabolic equations with rough data. Zbl 1363.35194Koch, Herbert; Lamm, Tobias 5 2015 Convolution estimates for singular measures and some global nonlinear Brascamp-Lieb inequalities. Zbl 1336.26014Koch, Herbert; Steinerberger, Stefan 4 2015 Higher-order time asymptotics of fast diffusion in Euclidean space: a dynamical systems approach. Zbl 1315.35004Denzler, Jochen; Koch, Herbert; McCann, Robert J. 4 2015 Dispersive equations and nonlinear waves. Generalized Korteweg-de Vries, nonlinear Schrödinger, wave and Schrödinger maps. Zbl 1304.35003Koch, Herbert; Tataru, Daniel; Vişan, Monica 29 2014 Bounded compositions on scaling invariant Besov spaces. Zbl 1359.47019Koch, Herbert; Koskela, Pekka; Saksman, Eero; Soto, Tomás 14 2014 Geometric flows with rough initial data. Zbl 1252.35159Koch, Herbert; Lamm, Tobias 53 2012 Energy and local energy bounds for the 1-d cubic NLS equation in \(H^{-\frac{1}{4}}\). Zbl 1280.35137Koch, Herbert; Tataru, Daniel 19 2012 Small data scattering and soliton stability in \(\dot{H}^{-1/6}\) for the quartic KdV equation. Zbl 1267.35184Koch, Herbert; Marzuola, Jeremy L. 11 2012 A para-differential renormalization technique for nonlinear dispersive equations. Zbl 1214.35089Herr, Sebastian; Ionescu, Alexandru D.; Kenig, Carlos E.; Koch, Herbert 27 2010 Erratum to “Well-posedness and scattering for the KP-II equation in a critical space” [Ann. I. H. Poincaré - AN 26 (3) (2009) 917-941]. Zbl 1188.35162Hadac, Martin; Herr, Sebastian; Koch, Herbert 15 2010 Strong unique continuation for products of elliptic operators of second order. Zbl 1184.35091Colombini, Ferruccio; Koch, Herbert 14 2010 Well-posedness and scattering for the KP-II equation in a critical space. Zbl 1169.35372Hadac, Martin; Herr, Sebastian; Koch, Herbert 92 2009 Carleman estimates and unique continuation for second order parabolic equations with nonsmooth coefficients. Zbl 1178.35107Koch, Herbert; Tataru, Daniel 33 2009 Entropy of eigenfunctions. Zbl 1175.81118Anantharaman, Nalini; Koch, Herbert; Nonnenmacher, Stéphane 8 2009 On finite energy solutions of the KP-I equation. Zbl 1387.35530Koch, H.; Tzvetkov, N. 11 2008 Partial differential equations with non-Euclidean geometries. Zbl 1176.35054Koch, Herbert 5 2008 Backward uniqueness in linear thermoelasticity with time and space variable coefficients. Zbl 1157.35490Koch, Herbert; Lasiecka, Irena 2 2008 Subcritical \(L^p\) bounds on spectral clusters for Lipschitz metrics. Zbl 1159.58017Koch, Herbert; Smith, Hart F.; Tataru, Daniel 1 2008 A priori bounds for the 1D cubic NLS in negative Sobolev spaces. Zbl 1169.35055Koch, Herbert; Tataru, Daniel 66 2007 Semiclassical \(L^p\) estimates. Zbl 1133.58025Koch, Herbert; Tataru, Daniel; Zworski, Maciej 32 2007 Spectral projections for the twisted Laplacian. Zbl 1120.43005Koch, Herbert; Ricci, Fulvio 20 2007 Uniqueness of the modified Schrödinger map in \(H^{3/4+\varepsilon(\mathbb R^{2})}\). Zbl 1387.35139Kato, Jun; Koch, Herbert 9 2007 Local smoothing and local solvability for third order dispersive equations. Zbl 1125.35075Koch, Herbert; Saut, Jean-Claude 3 2007 Sharp \(L^q\) bounds on spectral clusters for Hölder metrics. Zbl 1128.58014Koch, Herbert; Smith, Hart F.; Tataru, Daniel 2 2007 Carleman estimates and absence of embedded eigenvalues. Zbl 1151.35025Koch, Herbert; Tataru, Daniel 45 2006 A hybrid system of PDE’s arising in multi-structure interaction: coupling of wave equations in \(n\) and \(n-1\) space dimensions. Zbl 1108.35110Koch, Herbert; Zuazua, Enrique 10 2006 Dispersive estimates for principally normal pseudodifferential operators. Zbl 1078.35143Koch, Herbert; Tataru, Daniel 85 2005 Nonlinear wave interactions for the Benjamin-Ono equation. Zbl 1156.35460Koch, Herbert; Tzvetkov, N. 64 2005 \(L^p\) eigenfunction bounds for the Hermite operator. Zbl 1075.35020Koch, Herbert; Tataru, Daniel 46 2005 On optimal regularity of free boundary problems and a conjecture of De Giorgi. Zbl 1082.35168Koch, Herbert; Leoni, Giovanni; Morini, Massimiliano 23 2005 Very singular solutions to a nonlinear parabolic equation with absorption. II: Uniqueness. Zbl 1063.35074Benachour, Saïd; Koch, Herbert; Laurençot, Philippe 3 2004 Partial differential equations and singular integrals. Zbl 1141.42012Koch, Herbert 3 2004 On the local well-posedness of the Benjamin-Ono equation in \(H^S(\mathbb{R})\). Zbl 1039.35106Koch, H.; Tzvetkov, N. 84 2003 Dispersion estimates for third order equations in two dimensions. Zbl 1060.35122Ben-Artzi, Matania; Koch, Herbert; Saut, Jean-Claude 18 2003 Hadamard well-posedness of weak solutions in nonlinear dynamic elasticity-full von Karman systems. Zbl 1027.35003Koch, Herbert; Lasiecka, Irena 48 2002 Sharp counterexamples in unique continuation for second order elliptic equations. Zbl 1222.35050Koch, Herbert; Tataru, Daniel 21 2002 Transport and instability for perfect fluids. Zbl 1006.76008Koch, Herbert 13 2002 Pointwise multipliers of Besov spaces of smoothness zero and spaces of continuous functions. Zbl 1036.46024Koch, Herbert; Sickel, Winfried 10 2002 \(L_q\)-estimates of the first-order derivatives of solutions to the nonstationary Stokes problem. Zbl 1046.35085Koch, Herbert; Solonnikov, Vsevolod A. 9 2002 Well-posedness for the Navier-Stokes equations. Zbl 0972.35084Koch, Herbert; Tataru, Daniel 374 2001 Carleman estimates and unique continuation for second-order elliptic equations with nonsmooth coefficients. Zbl 1033.35025Koch, Herbert; Tataru, Daniel 70 2001 Recent results on unique continuation for second order elliptic equations. Zbl 1194.35119Koch, Herbert; Tataru, Daniel 5 2001 \(L_p\)-estimates for a solution to the nonstationary Stokes equations. Zbl 0987.35121Kokh, Kh.; Solonnikov, V. A. 2 2001 Dispersion estimates for fourth order Schrödinger equations. Zbl 0942.35160Ben-Artzi, Matania; Koch, Herbert; Saut, Jean-Claude 90 2000 A new approach to absolute continuity of elliptic measure, with applications to non-symmetric equations. Zbl 0958.35025Kenig, C.; Koch, H.; Pipher, J.; Toro, T. 63 2000 Slow decay in linear thermoelasticity. Zbl 1151.74339Koch, Herbert 10 2000 Stability and Hopf bifurcation for fully nonlinear parabolic-hyperbolic equations. Zbl 1049.35145Koch, Herbert; Antman, Stuart S. 7 2000 Self-sustained oscillations of nonlinearly viscoelastic layers. Zbl 0956.35009Antman, Stuart S.; Koch, Herbert 2 2000 Decay of mass for a semilinear parabolic equation. Zbl 0931.35066Ben-Artzi, Matania; Koch, Herbert 23 1999 Classical solutions to phase transition problems are smooth. Zbl 0904.35014Koch, Herbert 7 1998 The \(\eta\)-form and a generalized Maslov index. Zbl 0920.58045Bunke, Ulrich; Koch, Herbert 1 1998 On center manifolds. Zbl 0874.34047Koch, Herbert 1 1997 Global classical solutions to a two-phase Stefan problem. Zbl 0883.35135Koch, Herbert 1 1997 Finite dimensional aspects of semilinear parabolic equations. Zbl 0860.35056Koch, Herbert 2 1996 Testing the weak equivalence principle at the Bremen drop tower: Report on recent developments. Zbl 0875.83025Dittus, H.; Greger, R.; Lochmann, St.; Vodel, W.; Koch, H.; Nietzsche, S.; von Zameck Glyscinski, J.; Mehls, C.; Mazilu, P. 1 1996 On the spectrum of hyperbolic semigroups. Zbl 0823.35108Koch, Herbert; Tataru, Daniel 8 1995 The spectrum of a hyperbolic evolution operator. Zbl 0857.35075Cooper, Jeffery; Koch, Herbert 5 1995 Remarks on the spectrum of a linear wave operator with time periodic boundary condition. Zbl 0838.35088Cooper, Jeffery; Koch, Herbert 1 1995 Global existence of classical solutions to the dynamical von Kármán equations. Zbl 0778.73029Koch, Herbert; Stahel, Andreas 20 1993 Mixed problems for fully nonlinear hyperbolic equations. Zbl 0790.35073Koch, Herbert 12 1993 Small periodic solutions of quasilinear hyperbolic equations. Zbl 0938.35512Koch, Herbert 2 1993 Hyperbolic equations of second order. Zbl 0717.35058Koch, Herbert 4 1990 all cited Publications top 5 cited Publications all top 5 Cited by 1,456 Authors 23 Kenig, Carlos Eduardo 21 Koch, Herbert 21 Oh, Tadahiro 19 Tataru, Daniel 17 Lasiecka, Irena 17 Rüland, Angkana 15 Tzvetkov, Nikolay 15 Zhang, Ting 14 Gallagher, Isabelle 14 Herr, Sebastian 14 Molinet, Luc 13 Guo, Zihua 13 Mayboroda, Svitlana 13 Ponce, Gustavo 12 Cavalcanti, Marcelo Moreira 12 Cui, Shangbin 12 Hofmann, Steve 12 Linares, Felipe 12 Pipher, Jill Catherine 12 Saut, Jean-Claude 12 Wang, Baoxiang 12 Wang, Yuzhao 11 Auscher, Pascal 11 Kukavica, Igor 11 Liu, Qiao 11 Šverák, Vladimír 11 Zhao, Jihong 10 Chemin, Jean-Yves 10 Killip, Rowan 10 Lemarié-Rieusset, Pierre Gilles 10 Pilod, Didier 10 Visan, Monica 10 Zhang, Ping 9 Himonas, A. Alexandrou 9 Miao, Changxing 9 Naumkin, Pavel Ivanovich 9 Rammaha, Mohammad A. 9 Ros-Oton, Xavier 9 Yang, Minghua 8 Deng, Chao 8 Dindoš, Martin 8 Domingos Cavalcanti, Valéria Neves 8 Ferreira, Lucas Catão de Freitas 8 Germain, Pierre 8 Li, Pengtao 8 Okamoto, Mamoru 8 Sogge, Christopher D. 8 Thomann, Laurent 8 Toundykov, Daniel 8 Tsai, Tai-Peng 8 Yan, Wei 7 Barker, Tobias 7 Bejenaru, Ioan 7 Bradshaw, Zachary 7 Chang, Tongkeun 7 Hayashi, Nakao 7 Ionescu, Alexandru D. 7 Li, Junfeng 7 Morini, Massimiliano 7 Planchon, Fabrice 7 Robert, Tristan 7 Sun, Jinyi 7 Vessella, Sergio 7 Wang, Jenn-Nan 7 Webster, Justin T. 7 Xiao, Jie 7 Yang, Qixiang 7 Yao, Xiaohua 6 Barton, Ariel 6 Blair, Matthew D. 6 Burq, Nicolas 6 Candy, Timothy 6 Chen, Peng 6 D’Ancona, Piero 6 Dinh, Van Duong 6 Fang, Daoyuan 6 Fusco, Nicola 6 Jin, Bumja 6 Laurençot, Philippe 6 Li, Yongsheng 6 Martel, Yvan 6 Miura, Hideyuki 6 Nicola, Fabio 6 Ozawa, Tohru 6 Paicu, Marius 6 Pastor, Ademir 6 Pocovnicu, Oana 6 Salo, Mikko 6 Schippa, Robert 6 Segata, Jun-ichi 6 Shimizu, Senjo 6 Tacy, Melissa 6 Wang, Changyou 6 Zhang, Junyong 6 Zheng, Jiqiang 5 Axelsson, Andreas 5 Banerjee, Agnid 5 Davey, Blair 5 Dong, Hongjie 5 Feneuil, Joseph ...and 1,356 more Authors all top 5 Cited in 234 Serials 117 Journal of Differential Equations 68 Journal of Mathematical Analysis and Applications 65 Journal of Functional Analysis 56 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 45 Communications in Partial Differential Equations 43 Communications in Mathematical Physics 39 Archive for Rational Mechanics and Analysis 37 Transactions of the American Mathematical Society 36 Discrete and Continuous Dynamical Systems 35 Advances in Mathematics 35 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 33 SIAM Journal on Mathematical Analysis 31 Communications on Pure and Applied Analysis 30 Mathematische Annalen 24 Proceedings of the American Mathematical Society 24 The Journal of Geometric Analysis 20 Journal de Mathématiques Pures et Appliquées. Neuvième Série 20 Journal of Mathematical Fluid Mechanics 20 Nonlinear Analysis. Real World Applications 19 Journal of Mathematical Physics 19 Nonlinearity 18 Calculus of Variations and Partial Differential Equations 18 Journal of Evolution Equations 17 Mathematical Methods in the Applied Sciences 16 ZAMP. Zeitschrift für angewandte Mathematik und Physik 13 Journal of the European Mathematical Society (JEMS) 11 Duke Mathematical Journal 11 Mathematische Zeitschrift 11 Revista Matemática Iberoamericana 11 Comptes Rendus. Mathématique. Académie des Sciences, Paris 11 Analysis & PDE 10 Journal of Dynamics and Differential Equations 10 NoDEA. Nonlinear Differential Equations and Applications 10 Annales Henri Poincaré 8 Annales de l’Institut Fourier 8 Inventiones Mathematicae 8 Communications in Contemporary Mathematics 7 Applicable Analysis 7 Communications on Pure and Applied Mathematics 7 Applied Mathematics and Optimization 7 Mathematische Nachrichten 7 Memoirs of the American Mathematical Society 7 Physica D 7 Discrete and Continuous Dynamical Systems. Series B 7 Science China. Mathematics 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Journal of Nonlinear Science 6 The Journal of Fourier Analysis and Applications 6 Annals of Mathematics. Second Series 6 Acta Mathematica Sinica. English Series 6 Evolution Equations and Control Theory 6 Séminaire Laurent Schwartz. EDP et Applications 5 Journal d’Analyse Mathématique 5 Probability Theory and Related Fields 5 Applied Mathematics Letters 5 Potential Analysis 5 Bulletin des Sciences Mathématiques 5 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 4 Israel Journal of Mathematics 4 Journal of Computational Physics 4 Monatshefte für Mathematik 4 Proceedings of the London Mathematical Society. Third Series 4 Acta Applicandae Mathematicae 4 Forum Mathematicum 4 Geometric and Functional Analysis. GAFA 4 Journal of Mathematical Sciences (New York) 4 Abstract and Applied Analysis 4 Boundary Value Problems 4 Stochastic and Partial Differential Equations. Analysis and Computations 4 Annals of PDE 4 SN Partial Differential Equations and Applications 3 Computers & Mathematics with Applications 3 Acta Mathematica 3 Indiana University Mathematics Journal 3 Journal für die Reine und Angewandte Mathematik 3 Osaka Journal of Mathematics 3 Zeitschrift für Analysis und ihre Anwendungen 3 Chinese Annals of Mathematics. Series B 3 Journal of the American Mathematical Society 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Bulletin of the American Mathematical Society. New Series 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Analysis (München) 3 Journal of the Institute of Mathematics of Jussieu 3 Complex Analysis and Operator Theory 3 Discrete and Continuous Dynamical Systems. Series S 3 Kinetic and Related Models 3 Journal of Pseudo-Differential Operators and Applications 3 Journal of Spectral Theory 3 Bulletin of Mathematical Sciences 3 Forum of Mathematics, Sigma 3 Advances in Nonlinear Analysis 2 Letters in Mathematical Physics 2 Arkiv för Matematik 2 Mathematics of Computation 2 Reviews in Mathematical Physics 2 The Annals of Probability 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Applied Mathematics and Computation ...and 134 more Serials all top 5 Cited in 46 Fields 1,300 Partial differential equations (35-XX) 392 Fluid mechanics (76-XX) 140 Harmonic analysis on Euclidean spaces (42-XX) 91 Operator theory (47-XX) 89 Dynamical systems and ergodic theory (37-XX) 88 Mechanics of deformable solids (74-XX) 77 Functional analysis (46-XX) 75 Quantum theory (81-XX) 73 Global analysis, analysis on manifolds (58-XX) 48 Probability theory and stochastic processes (60-XX) 41 Differential geometry (53-XX) 40 Systems theory; control (93-XX) 37 Calculus of variations and optimal control; optimization (49-XX) 30 Potential theory (31-XX) 22 Statistical mechanics, structure of matter (82-XX) 21 Functions of a complex variable (30-XX) 21 Numerical analysis (65-XX) 20 Real functions (26-XX) 19 Optics, electromagnetic theory (78-XX) 18 Ordinary differential equations (34-XX) 15 Measure and integration (28-XX) 10 Geophysics (86-XX) 9 Biology and other natural sciences (92-XX) 8 Special functions (33-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Abstract harmonic analysis (43-XX) 6 Difference and functional equations (39-XX) 6 Integral transforms, operational calculus (44-XX) 5 Integral equations (45-XX) 5 Relativity and gravitational theory (83-XX) 4 Topological groups, Lie groups (22-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Approximations and expansions (41-XX) 3 Mechanics of particles and systems (70-XX) 3 Astronomy and astrophysics (85-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Computer science (68-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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