## Holmer, Justin

Compute Distance To:
 Author ID: holmer.justin Published as: Holmer, Justin; Holmer, J. External Links: MGP
 Documents Indexed: 42 Publications since 2005 Co-Authors: 22 Co-Authors with 38 Joint Publications 597 Co-Co-Authors
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### Co-Authors

 4 single-authored 13 Roudenko, Svetlana 8 Chen, Xuwen 6 Zworski, Maciej 4 Farah, Luiz Gustavo 2 Colliander, James E. 2 Liu, Chang 2 Marzuola, Jeremy L. 2 Perelman, Galina 2 Tataru, Daniel 2 Tzirakis, Nikolaos 1 Adami, Riccardo 1 Bejenaru, Ioan 1 Christ, Michael 1 Datchev, Kiril R. 1 Duyckaerts, Thomas 1 Fukuizumi, Reika 1 Herr, Sebastian 1 Lin, Quanhui 1 Platte, Rodrigo B. 1 Visan, Monica 1 Zhang, Katherine Zhiyuan 1 Zhang, Xiaoyi
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### Serials

 4 IMRN. International Mathematics Research Notices 3 Communications in Mathematical Physics 3 Nonlinearity 3 Transactions of the American Mathematical Society 3 Communications in Partial Differential Equations 2 Archive for Rational Mechanics and Analysis 2 Communications on Pure and Applied Analysis 2 AMRX. Applied Mathematics Research eXpress 2 Journal of Hyperbolic Differential Equations 2 Analysis & PDE 1 Journal of Mathematical Analysis and Applications 1 Inventiones Mathematicae 1 Differential and Integral Equations 1 SIAM Journal on Mathematical Analysis 1 Journal of Nonlinear Science 1 Electronic Journal of Differential Equations (EJDE) 1 Mathematical Research Letters 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Modern Dynamics 1 São Paulo Journal of Mathematical Sciences 1 Forum of Mathematics, Pi 1 Libertas Mathematica. New Series
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### Fields

 42 Partial differential equations (35-XX) 16 Dynamical systems and ergodic theory (37-XX) 11 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX)

### Citations contained in zbMATH Open

39 Publications have been cited 877 times in 523 Documents Cited by Year
A sharp condition for scattering of the radial 3D cubic nonlinear Schrödinger equation. Zbl 1155.35094
Holmer, Justin; Roudenko, Svetlana
2008
Scattering for the nonradial 3D cubic nonlinear Schrödinger equation. Zbl 1171.35472
Duyckaerts, Thomas; Holmer, Justin; Roudenko, Svetlana
2008
The initial-boundary value problem for the Korteweg–de Vries equation. Zbl 1111.35062
Holmer, Justin
2006
On the 2D Zakharov system with $$L^{2}$$ Schrödinger data. Zbl 1173.35651
Bejenaru, I.; Herr, S.; Holmer, J.; Tataru, D.
2009
The initial-boundary-value problem for the 1D nonlinear Schrödinger equation on the half-line. Zbl 1212.35448
Holmer, Justin
2005
Fast soliton scattering by delta impurities. Zbl 1126.35068
Holmer, Justin; Marzuola, Jeremy; Zworski, Maciej
2007
Low regularity global well-posedness for the Zakharov and Klein-Gordon-Schrödinger systems. Zbl 1158.35085
Colliander, James; Holmer, Justin; Tzirakis, Nikolaos
2008
Focusing quantum many-body dynamics: the rigorous derivation of the 1D focusing cubic nonlinear Schrödinger equation. Zbl 1338.35407
Chen, Xuwen; Holmer, Justin
2016
On blow-up solutions to the 3D cubic nonlinear Schrödinger equation. Zbl 1130.35361
Holmer, Justin; Roudenko, Svetlana
2007
Slow solution interaction with delta imperiums. Zbl 1137.35060
Holmer, Justin; Zworski, Maciej
2007
Soliton splitting by external delta potentials. Zbl 1128.35384
Holmer, J.; Marzuola, J.; Zworski, M.
2007
On the Klainerman-Machedon conjecture for the quantum BBGKY hierarchy with self-interaction. Zbl 1342.35322
Chen, Xuwen; Holmer, Justin
2016
On the rigorous derivation of the 2D cubic nonlinear Schrödinger equation from 3D quantum many-body dynamics. Zbl 1288.35429
Chen, Xuwen; Holmer, Justin
2013
Correlation structures, many-body scattering processes, and the derivation of the Gross-Pitaevskii hierarchy. Zbl 1404.35407
Chen, Xuwen; Holmer, Justin
2016
Soliton interaction with slowly varying potentials. Zbl 1147.35084
Holmer, Justin; Zworski, Maciej
2008
Local ill-posedness of the 1D Zakharov system. Zbl 1115.35124
Holmer, Justin
2007
Divergence of infinite-variance nonradial solutions to the 3d NLS equation. Zbl 1195.35277
Holmer, Justin; Roudenko, Svetlana
2010
Focusing quantum many-body dynamics. II: The rigorous derivation of the 1D focusing cubic nonlinear Schrödinger equation from 3D. Zbl 1368.35245
Chen, Xuwen; Holmer, Justin
2017
The rigorous derivation of the 2D cubic focusing NLS from quantum many-body evolution. Zbl 1405.81029
Chen, Xuwen; Holmer, Justin
2017
Fast soliton scattering by attractive delta impurities. Zbl 1194.35403
Datchev, Kiril; Holmer, Justin
2009
Low regularity a priori bounds for the modified Korteweg-de Vries equation. Zbl 1284.35367
Christ, Michael; Holmer, Justin; Tataru, Daniel
2012
The derivation of the $$\mathbb{T}^{3}$$ energy-critical NLS from quantum many-body dynamics. Zbl 1422.35148
Chen, Xuwen; Holmer, Justin
2019
Global existence and scattering for rough solutions to generalized nonlinear Schrödinger equations on $$\mathbb R$$. Zbl 1157.35103
Colliander, James; Holmer, Justin; Visan, Monica; Zhang, Xiaoyi
2008
Effective dynamics of double solitons for perturbed mKdV. Zbl 1300.37046
Holmer, Justin; Perelman, Galina; Zworski, Maciej
2011
Blow-up criteria for the 3D cubic nonlinear Schrödinger equation. Zbl 1202.37105
Holmer, Justin; Platte, Rodrigo; Roudenko, Svetlana
2010
Dynamics of KdV solitons in the presence of a slowly varying potential. Zbl 1247.35132
Holmer, Justin
2011
Breathing patterns in nonlinear relaxation. Zbl 1173.35685
Holmer, Justin; Zworski, Maciej
2009
Instability of solitons – revisited. II: The supercritical Zakharov-Kuznetsov equation. Zbl 1423.35337
Farah, Luiz Gustavo; Holmer, Justin; Roudenko, Svetlana
2019
Blow-up for the 1D nonlinear Schrödinger equation with point nonlinearity. I: Basic theory. Zbl 1436.35290
Holmer, Justin; Liu, Chang
2020
Phase-driven interaction of widely separated nonlinear Schrödinger solitons. Zbl 1256.35137
Holmer, Justin; Lin, Quanhui
2012
Instability of solitons – revisited. I: The critical generalized KdV equation. Zbl 1423.35336
Farah, Luiz Gustavo; Holmer, Justin; Roudenko, Svetlana
2019
Blow-up solutions on a sphere for the 3D quintic NLS in the energy space. Zbl 1329.35280
Holmer, Justin; Roudenko, Svetlana
2012
A class of solutions to the 3D cubic nonlinear Schrödinger equation that blows up on a circle. Zbl 1220.35159
Holmer, Justin; Roudenko, Svetlana
2011
Asymptotically linear solutions in $$H^{1}$$ of the 2-D defocusing nonlinear Schrödinger and Hartree equations. Zbl 1188.35179
Holmer, Justin; Tzirakis, Nikolaos
2010
Instability of solitons in the 2D cubic Zakharov-Kuznetsov equation. Zbl 1440.35267
Farah, Luiz Gustavo; Holmer, Justin; Roudenko, Svetlana
2019
On instability of solitons in the 2d cubic Zakharov-Kuznetsov equation. Zbl 1431.35153
Farah, Luiz Gustavo; Holmer, Justin; Roudenko, Svetlana
2019
A solution to the focusing 3d NLS that blows up on a contracting sphere. Zbl 1325.35201
Holmer, Justin; Perelman, Galina; Roudenko, Svetlana
2015
Scattering for the $$L^2$$ supercritical point NLS. Zbl 1457.35064
Adami, Riccardo; Fukuizumi, Reika; Holmer, Justin
2021
Blow-up for the 1D nonlinear Schrödinger equation with point nonlinearity. II: Supercritical blow-up profiles. Zbl 1460.35328
Holmer, Justin; Liu, Chang
2021
Scattering for the $$L^2$$ supercritical point NLS. Zbl 1457.35064
Adami, Riccardo; Fukuizumi, Reika; Holmer, Justin
2021
Blow-up for the 1D nonlinear Schrödinger equation with point nonlinearity. II: Supercritical blow-up profiles. Zbl 1460.35328
Holmer, Justin; Liu, Chang
2021
Blow-up for the 1D nonlinear Schrödinger equation with point nonlinearity. I: Basic theory. Zbl 1436.35290
Holmer, Justin; Liu, Chang
2020
The derivation of the $$\mathbb{T}^{3}$$ energy-critical NLS from quantum many-body dynamics. Zbl 1422.35148
Chen, Xuwen; Holmer, Justin
2019
Instability of solitons – revisited. II: The supercritical Zakharov-Kuznetsov equation. Zbl 1423.35337
Farah, Luiz Gustavo; Holmer, Justin; Roudenko, Svetlana
2019
Instability of solitons – revisited. I: The critical generalized KdV equation. Zbl 1423.35336
Farah, Luiz Gustavo; Holmer, Justin; Roudenko, Svetlana
2019
Instability of solitons in the 2D cubic Zakharov-Kuznetsov equation. Zbl 1440.35267
Farah, Luiz Gustavo; Holmer, Justin; Roudenko, Svetlana
2019
On instability of solitons in the 2d cubic Zakharov-Kuznetsov equation. Zbl 1431.35153
Farah, Luiz Gustavo; Holmer, Justin; Roudenko, Svetlana
2019
Focusing quantum many-body dynamics. II: The rigorous derivation of the 1D focusing cubic nonlinear Schrödinger equation from 3D. Zbl 1368.35245
Chen, Xuwen; Holmer, Justin
2017
The rigorous derivation of the 2D cubic focusing NLS from quantum many-body evolution. Zbl 1405.81029
Chen, Xuwen; Holmer, Justin
2017
Focusing quantum many-body dynamics: the rigorous derivation of the 1D focusing cubic nonlinear Schrödinger equation. Zbl 1338.35407
Chen, Xuwen; Holmer, Justin
2016
On the Klainerman-Machedon conjecture for the quantum BBGKY hierarchy with self-interaction. Zbl 1342.35322
Chen, Xuwen; Holmer, Justin
2016
Correlation structures, many-body scattering processes, and the derivation of the Gross-Pitaevskii hierarchy. Zbl 1404.35407
Chen, Xuwen; Holmer, Justin
2016
A solution to the focusing 3d NLS that blows up on a contracting sphere. Zbl 1325.35201
Holmer, Justin; Perelman, Galina; Roudenko, Svetlana
2015
On the rigorous derivation of the 2D cubic nonlinear Schrödinger equation from 3D quantum many-body dynamics. Zbl 1288.35429
Chen, Xuwen; Holmer, Justin
2013
Low regularity a priori bounds for the modified Korteweg-de Vries equation. Zbl 1284.35367
Christ, Michael; Holmer, Justin; Tataru, Daniel
2012
Phase-driven interaction of widely separated nonlinear Schrödinger solitons. Zbl 1256.35137
Holmer, Justin; Lin, Quanhui
2012
Blow-up solutions on a sphere for the 3D quintic NLS in the energy space. Zbl 1329.35280
Holmer, Justin; Roudenko, Svetlana
2012
Effective dynamics of double solitons for perturbed mKdV. Zbl 1300.37046
Holmer, Justin; Perelman, Galina; Zworski, Maciej
2011
Dynamics of KdV solitons in the presence of a slowly varying potential. Zbl 1247.35132
Holmer, Justin
2011
A class of solutions to the 3D cubic nonlinear Schrödinger equation that blows up on a circle. Zbl 1220.35159
Holmer, Justin; Roudenko, Svetlana
2011
Divergence of infinite-variance nonradial solutions to the 3d NLS equation. Zbl 1195.35277
Holmer, Justin; Roudenko, Svetlana
2010
Blow-up criteria for the 3D cubic nonlinear Schrödinger equation. Zbl 1202.37105
Holmer, Justin; Platte, Rodrigo; Roudenko, Svetlana
2010
Asymptotically linear solutions in $$H^{1}$$ of the 2-D defocusing nonlinear Schrödinger and Hartree equations. Zbl 1188.35179
Holmer, Justin; Tzirakis, Nikolaos
2010
On the 2D Zakharov system with $$L^{2}$$ Schrödinger data. Zbl 1173.35651
Bejenaru, I.; Herr, S.; Holmer, J.; Tataru, D.
2009
Fast soliton scattering by attractive delta impurities. Zbl 1194.35403
Datchev, Kiril; Holmer, Justin
2009
Breathing patterns in nonlinear relaxation. Zbl 1173.35685
Holmer, Justin; Zworski, Maciej
2009
A sharp condition for scattering of the radial 3D cubic nonlinear Schrödinger equation. Zbl 1155.35094
Holmer, Justin; Roudenko, Svetlana
2008
Scattering for the nonradial 3D cubic nonlinear Schrödinger equation. Zbl 1171.35472
Duyckaerts, Thomas; Holmer, Justin; Roudenko, Svetlana
2008
Low regularity global well-posedness for the Zakharov and Klein-Gordon-Schrödinger systems. Zbl 1158.35085
Colliander, James; Holmer, Justin; Tzirakis, Nikolaos
2008
Soliton interaction with slowly varying potentials. Zbl 1147.35084
Holmer, Justin; Zworski, Maciej
2008
Global existence and scattering for rough solutions to generalized nonlinear Schrödinger equations on $$\mathbb R$$. Zbl 1157.35103
Colliander, James; Holmer, Justin; Visan, Monica; Zhang, Xiaoyi
2008
Fast soliton scattering by delta impurities. Zbl 1126.35068
Holmer, Justin; Marzuola, Jeremy; Zworski, Maciej
2007
On blow-up solutions to the 3D cubic nonlinear Schrödinger equation. Zbl 1130.35361
Holmer, Justin; Roudenko, Svetlana
2007
Slow solution interaction with delta imperiums. Zbl 1137.35060
Holmer, Justin; Zworski, Maciej
2007
Soliton splitting by external delta potentials. Zbl 1128.35384
Holmer, J.; Marzuola, J.; Zworski, M.
2007
Local ill-posedness of the 1D Zakharov system. Zbl 1115.35124
Holmer, Justin
2007
The initial-boundary value problem for the Korteweg–de Vries equation. Zbl 1111.35062
Holmer, Justin
2006
The initial-boundary-value problem for the 1D nonlinear Schrödinger equation on the half-line. Zbl 1212.35448
Holmer, Justin
2005
all top 5

### Cited by 521 Authors

 20 Holmer, Justin 17 Roudenko, Svetlana 16 Zhang, Bingyu 14 Guo, Boling 13 Kaikina, Elena Igorevna 12 Farah, Luiz Gustavo 11 Murphy, Jason 9 Dinh, Van Duong 9 Saanouni, Tarek 9 Sun, Shuming 8 Cavalcante, Márcio André Araújo 8 Himonas, A. Alexandrou 8 Miao, Changxing 8 Tzirakis, Nikolaos 7 Grillakis, Manoussos G. 7 Hayashi, Nakao 7 Hong, Younghun 7 Pastor, Ademir 7 Schlein, Benjamin 7 Staffilani, Gigliola 7 Zhang, Jingjun 6 Angulo Pava, Jaime 6 Duyckaerts, Thomas 6 Guo, Yanfeng 6 Kinoshita, Shinya 6 Machedon, Matei 6 Maeda, Masaya 6 Mantzavinos, Dionyssios 6 Merle, Frank 6 Muñoz, Claudio 6 Pavlović, Nataša 6 Phan Thành Nam 6 Pokhozhaev, Stanislav I. 6 Schippa, Robert 6 Soffer, Avraham 6 Sohinger, Vedran 5 Akahori, Takafumi 5 Chen, Thomas M. 5 Chen, Xuwen 5 Cuccagna, Scipio 5 Fang, Yung-Fu 5 Forcella, Luigi 5 Gao, Yanfang 5 Guo, Qing 5 Guzmán, Carlos M. 5 Herr, Sebastian 5 Ikeda, Masahiro 5 Marzuola, Jeremy L. 5 Nakanishi, Kenji 5 Oh, Tadahiro 5 Ozawa, Tohru 5 Pecher, Hartmut 5 Yan, Fangchi 5 Yang, Kai 5 You, Shujun 5 Zhu, Shihui 4 Adami, Riccardo 4 Bennett, Jonathan M. 4 Bez, Neal 4 Bona, Jerry Lloyd 4 Boßmann, Lea 4 Colliander, James E. 4 Compaan, Erin 4 Fang, Daoyuan 4 Kenig, Carlos Eduardo 4 Kikuchi, Hiroaki 4 Kishimoto, Nobu 4 Li, Donglong 4 Linares, Felipe 4 Ning, Xiaoqi 4 Noja, Diego 4 Rougerie, Nicolas 4 Wang, Zhiyong 4 Zheng, Jiqiang 3 Alejo, Miguel A. 3 Hernandez Ardila, Alex 3 Beceanu, Marius 3 Brennecke, Christian 3 Campos, Luccas 3 Cardoso, Mykael 3 Carles, Rémi 3 Corcho, Adán J. 3 Deng, Qingquan 3 Dodson, Benjamin G. 3 Esquivel, Liliana 3 Fukuizumi, Reika 3 Glass, Olivier 3 Guerrero, Sergio 3 Hamano, Masaru 3 Hirayama, Hiroyuki 3 Ibrahim, Slim 3 Inui, Takahisa 3 Killip, Rowan 3 Kwak, Chulkwang 3 Kwon, Soonsik 3 Le Coz, Stefan 3 Li, Shenghao 3 Lu, Jing 3 Mashkin, Timur 3 Nawa, Hayato ...and 421 more Authors
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### Cited in 134 Serials

 37 Journal of Differential Equations 26 Journal of Mathematical Physics 25 Communications in Mathematical Physics 23 Journal of Mathematical Analysis and Applications 19 Journal of Functional Analysis 19 Discrete and Continuous Dynamical Systems 19 Communications on Pure and Applied Analysis 17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 14 Communications in Partial Differential Equations 13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 11 Transactions of the American Mathematical Society 11 SIAM Journal on Mathematical Analysis 10 Archive for Rational Mechanics and Analysis 10 Physica D 10 Journal of Evolution Equations 9 Nonlinearity 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Proceedings of the American Mathematical Society 9 Annales Henri Poincaré 8 NoDEA. Nonlinear Differential Equations and Applications 8 Journal of Hyperbolic Differential Equations 6 Communications on Pure and Applied Mathematics 6 Letters in Mathematical Physics 6 Revista Matemática Iberoamericana 6 Discrete and Continuous Dynamical Systems. Series S 4 Reviews in Mathematical Physics 4 Quarterly of Applied Mathematics 4 Journal of Nonlinear Science 4 Calculus of Variations and Partial Differential Equations 4 Journal of Inequalities and Applications 4 Communications in Contemporary Mathematics 4 Nonlinear Analysis. Real World Applications 4 Analysis & PDE 3 Advances in Mathematics 3 Duke Mathematical Journal 3 Indiana University Mathematics Journal 3 Applied Mathematics Letters 3 Journal of Scientific Computing 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Acta Mathematica Sinica. English Series 3 Differential Equations 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Advances in Difference Equations 3 Boundary Value Problems 3 São Paulo Journal of Mathematical Sciences 3 Science China. Mathematics 2 Applicable Analysis 2 Journal of Computational Physics 2 Illinois Journal of Mathematics 2 Mathematische Annalen 2 Monatshefte für Mathematik 2 Chinese Annals of Mathematics. Series B 2 Applied Numerical Mathematics 2 Acta Mathematicae Applicatae Sinica. English Series 2 The Journal of Geometric Analysis 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Taiwanese Journal of Mathematics 2 Kyoto Journal of Mathematics 2 Mathematical Control and Related Fields 2 SN Partial Differential Equations and Applications 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Journal d’Analyse Mathématique 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Theoretical and Mathematical Physics 1 Wave Motion 1 Mathematics of Computation 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 BIT 1 Functional Analysis and its Applications 1 Inventiones Mathematicae 1 Journal of Computational and Applied Mathematics 1 Manuscripta Mathematica 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Quaestiones Mathematicae 1 Studies in Applied Mathematics 1 Systems & Control Letters 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Applicandae Mathematicae 1 Asymptotic Analysis 1 MCSS. Mathematics of Control, Signals, and Systems 1 Applications of Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Geometric and Functional Analysis. GAFA 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Mathematical Sciences (New York) 1 Kyushu Journal of Mathematics 1 Selecta Mathematica. New Series 1 Opuscula Mathematica 1 Nonlinear Dynamics 1 Mathematical Physics, Analysis and Geometry 1 Chaos ...and 34 more Serials
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### Cited in 31 Fields

 510 Partial differential equations (35-XX) 88 Quantum theory (81-XX) 57 Dynamical systems and ergodic theory (37-XX) 46 Statistical mechanics, structure of matter (82-XX) 23 Numerical analysis (65-XX) 22 Fluid mechanics (76-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 14 Systems theory; control (93-XX) 13 Operator theory (47-XX) 13 Optics, electromagnetic theory (78-XX) 10 Ordinary differential equations (34-XX) 9 Integral transforms, operational calculus (44-XX) 8 Probability theory and stochastic processes (60-XX) 7 Functional analysis (46-XX) 6 Real functions (26-XX) 4 Potential theory (31-XX) 4 Mechanics of particles and systems (70-XX) 3 Integral equations (45-XX) 3 Differential geometry (53-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Convex and discrete geometry (52-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Approximations and expansions (41-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX)