Edit Profile (opens in new tab) Kohn, Robert Vita Co-Author Distance Author ID: kohn.robert-v Published as: Kohn, Robert V.; Kohn, R. V.; Kohn, Robert; Kohn, R. more...less Homepage: https://www.math.nyu.edu/faculty/kohn/ External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 149 Publications since 1975, including 6 Additional arXiv Preprints 6 Contributions as Editor · 1 Further Contribution Co-Authors: 78 Co-Authors with 131 Joint Publications 2,951 Co-Co-Authors all top 5 Co-Authors 23 single-authored 12 Otto, Felix 11 Strang, William Gilbert 11 Vogelius, Michael S. 8 Müller, Stefan 6 DeSimone, Antonio 5 Giga, Yoshikazu 5 Weinstein, Michael I. 4 Allaire, Grégoire 4 Bella, Peter 4 Choksi, Rustum 4 Serfaty, Sylvia 3 Bhattacharya, Kaushik 3 Caffarelli, Luis Ángel 3 Cherkaev, Andrej V. 3 Conti, Sergio 3 Grabovsky, Yury 3 Kobzar, Vladimir A. 3 Milton, Graeme Walter 3 Nirenberg, Louis 3 Reznikoff, Maria G. 3 Slastikov, Valeriy V. 3 Vanden-Eijnden, Eric 2 Bronsard, Lia 2 Chen, Xi 2 Drenska, Nadejda 2 Figalli, Alessio 2 Firoozye, Nikan B. 2 Girão, Pedro Martins 2 Goodman, Jonathan B. 2 Kinderlehrer, David 2 Knüpfer, Hans 2 Lin, Fang Hua 2 Lipton, Robert P. 2 Misiats, Oleksandr 2 Nguyen, Hoai-Minh 2 O’Brien, Ethan 2 Onofrei, Daniel 2 Reyna, Luis Guillermo M. 2 Temam, Roger Meyer 2 Toro, Tatiana 2 Venkatraman, Raghavendra 2 Wang, Zhilei 2 Wickramasekera, Neshan 2 Yan, Xiaodong 1 Agmon, Shmuel 1 Al Hajj Shehadeh, Hala 1 Bedrossian, Jacob 1 Berebichez, D. 1 Berestycki, Henri 1 Berger, Marsha J. 1 Birindelli, Isabeau 1 Boldrighini, Carlo 1 Bourdin, Blaise 1 Brandman, Jeremy 1 Brézis, Haïm 1 Bunimovich, Leonid Abramovich 1 Cameron, Maria Kourkina 1 Cellarosi, Francesco 1 Chang, Kung-Ching 1 Chang, Sun-Yung Alice 1 Cohen, Albert 1 Guedes de Figueiredo, Djairo 1 De Lellis, Camillo 1 Deligne, Pierre 1 E, Weinan 1 Ekeland, Ivar 1 Ericksen, Jerald Laverne 1 Fefferman, Charles Louis 1 Filippas, Stathis 1 Garroni, Adriana 1 Gurevich, Boris 1 Heider, Pascal 1 Holden, Helge 1 Illusie, Luc 1 James, Richard D. 1 Khanin, Konstantin M. 1 Klainerman, Sergiu 1 Kohn, Joseph J. 1 Kozlov, Sergeĭ Mikhaĭlovich 1 Lax, Peter David 1 Levy, Ohad 1 Li, Dong 1 Li, Xuenan 1 Li, YanYan 1 Lions, Jacques-Louis 1 Little, Thomas D. 1 Lo, Tak Shing 1 Lowe, Bruce D. 1 Lu, Jianfeng 1 Margetis, Dionisios 1 McKenney, Alan 1 Meyer, Yves F. 1 Nasar, Sylvia 1 Nash, John Forbes jun. 1 Ni, Wei-Ming 1 Niethammer, Barbara 1 Papazoglu-Statescu, Oana M. 1 Pesin, Yakov Borisovich 1 Piene, Ragni 1 Rabinowitz, Paul Henry ...and 18 more Co-Authors all top 5 Serials 30 Communications on Pure and Applied Mathematics 8 Journal of Nonlinear Science 5 Quarterly of Applied Mathematics 5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Archive for Rational Mechanics and Analysis 4 Journal of the Mechanics and Physics of Solids 3 Advances in Applied Probability 3 Communications in Mathematical Physics 3 Physica D 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Multiscale Modeling & Simulation 2 Computer Methods in Applied Mechanics and Engineering 2 Inverse Problems 2 Econometrica 2 Indiana University Mathematics Journal 2 Notre Dame Journal of Formal Logic 2 Journal of Elasticity 2 Calculus of Variations and Partial Differential Equations 2 Finance and Stochastics 2 Oberwolfach Reports 1 International Journal of Solids and Structures 1 Journal of Applied Mechanics 1 Journal of Statistical Physics 1 Metrika 1 Applied Mathematics and Optimization 1 Biometrika 1 Compositio Mathematica 1 International Economic Review 1 International Journal for Numerical Methods in Engineering 1 Journal of Differential Equations 1 Journal of Econometrics 1 Numerische Mathematik 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 SIAM Journal on Numerical Analysis 1 Chinese Annals of Mathematics. Series B 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 European Journal of Mechanics. A. Solids 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Journal on Applied Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Notices of the American Mathematical Society 1 Continuum Mechanics and Thermodynamics 1 Discrete and Continuous Dynamical Systems 1 Interfaces and Free Boundaries 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Quantitative Finance 1 Structural and Multidisciplinary Optimization 1 The IMA Volumes in Mathematics and its Applications 1 Matapli 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Progress in Nonlinear Differential Equations and Their Applications 1 Modern Birkhäuser Classics 1 The Abel Prize all top 5 Fields 74 Mechanics of deformable solids (74-XX) 56 Partial differential equations (35-XX) 44 Calculus of variations and optimal control; optimization (49-XX) 26 Statistical mechanics, structure of matter (82-XX) 14 Optics, electromagnetic theory (78-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Statistics (62-XX) 9 Numerical analysis (65-XX) 7 Probability theory and stochastic processes (60-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Fluid mechanics (76-XX) 5 General and overarching topics; collections (00-XX) 4 Real functions (26-XX) 4 Differential geometry (53-XX) 3 History and biography (01-XX) 3 Mathematical logic and foundations (03-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Computer science (68-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Systems theory; control (93-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 2 Biology and other natural sciences (92-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 General topology (54-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 135 Publications have been cited 5,703 times in 4,062 Documents Cited by ▼ Year ▼ Partial regularity of suitable weak solutions of the Navier-Stokes equations. Zbl 0509.35067 Caffarelli, L.; Kohn, R.; Nirenberg, Louis 706 1982 First order interpolation inequalities with weights. Zbl 0563.46024 Caffarelli, L.; Kohn, R.; Nirenberg, Louis 595 1984 Asymptotically self-similar blow-up of semilinear heat equations. Zbl 0585.35051 Giga, Yoshikazu; Kohn, Robert V. 278 1985 Characterizing blowup using similarity variables. Zbl 0601.35052 Giga, Yoshikazu; Kohn, Robert V. 192 1987 Local minimisers and singular perturbations. Zbl 0676.49011 Kohn, Robert V.; Sternberg, Peter 185 1989 Determining conductivity by boundary measurements. Zbl 0586.35089 Kohn, Robert V.; Vogelius, Michael 160 1984 Nondegeneracy of blow up for semilinear heat equations. Zbl 0703.35020 Giga, Yoshikazu; Kohn, Robert V. 149 1989 Optimal design and relaxation of variational problems. I. Zbl 0609.49008 Kohn, Robert V.; Strang, Gilbert 139 1986 The relaxation of a double-well energy. Zbl 0825.73029 Kohn, Robert V. 139 1991 Determining conductivity by boundary measurements. II: Interior results. Zbl 0595.35092 Kohn, Robert V.; Vogelius, Michael 129 1985 Surface energy and microstructure in coherent phase transitions. Zbl 0803.49007 Kohn, Robert V.; Müller, Stefan 108 1994 Motion by mean curvature as the singular limit of Ginzburg-Landau dynamics. Zbl 0735.35072 Bronsard, Lia; Kohn, Robert V. 100 1991 Refined asymptotics for the blow-up of \(u_ t-{\Delta}u=u^ p\). Zbl 0784.35010 Filippas, Stathis; Kohn, Robert V. 85 1992 Dual spaces of stresses and strains, with applications to Hencky plasticity. Zbl 0532.73039 Kohn, Robert V.; Temam, Roger 84 1983 Optimal design for minimum weight and compliance in plane stress using extremal microstructures. Zbl 0794.73044 Allaire, G.; Kohn, Robert V. 75 1993 Variational bounds on the effective moduli of anisotropic composites. Zbl 0672.73012 Milton, Graeme W.; Kohn, Robert V. 74 1988 A reduced theory for thin-film micromagnetics. Zbl 1027.82042 DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 72 2002 A rescaling algorithm for the numerical calculation of blowing-up solutions. Zbl 0652.65070 Berger, Marsha; Kohn, Robert V. 69 1988 Singular perturbation and the energy of folds. Zbl 0973.49009 Jin, W.; Kohn, R. V. 69 2000 Optimal design and relaxation of variational problems. III. Zbl 0694.49004 Kohn, Robert V.; Strang, Gilbert 66 1986 Cloaking via change of variables in electric impedance tomography. Zbl 1153.35406 Kohn, R. V.; Shen, H.; Vogelius, M. S.; Weinstein, M. I. 65 2008 A deterministic-control-based approach motion by curvature. Zbl 1206.53072 Kohn, Robert; Serfaty, Sylvia 65 2006 Relaxation of a variational method for impedance computed tomography. Zbl 0659.49009 Kohn, Robert V.; Vogelius, Michael 64 1987 On the slowness of phase boundary motion in one space dimension. Zbl 0761.35044 Bronsard, Lia; Kohn, Robert V. 63 1990 Domain branching in uniaxial ferromagnets: A scaling law for the minimum energy. Zbl 1023.82011 Choksi, Rustum; Kohn, Robert V.; Otto, Felix 61 1999 A new model for thin plates with rapidly varying thickness. Zbl 0532.73055 Kohn, Robert V.; Vogelius, Michael 61 1984 Optimal design and relaxation of variational problems. II. Zbl 0621.49008 Kohn, Robert V.; Strang, Gilbert 58 1986 Cloaking via change of variables for the Helmholtz equation. Zbl 1194.35505 Kohn, Robert V.; Onofrei, Daniel; Vogelius, Michael S.; Weinstein, Michael I. 58 2010 Upper bounds on coarsening rates. Zbl 1004.82011 Kohn, Robert V.; Otto, Felix 57 2002 Numerical study of a relaxed variational problem from optimal design. Zbl 0591.73119 Goodman, Jonathan; Kohn, Robert V.; Reyna, Luis 57 1986 A compactness result in the gradient theory of phase transitions. Zbl 0986.49009 DeSimone, Antonio; Müller, Stefan; Kohn, Robert V.; Otto, Felix 56 2001 Recent analytical developments in micromagnetics. Zbl 1151.35426 DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 50 2006 New integral estimates for deformations in terms of their nonlinear strains. Zbl 0491.73023 Kohn, Robert V. 50 1982 A new model for thin plates with rapidly varying thickness. II: A convergence proof. Zbl 0565.73046 Kohn, Robert V.; Vogelius, Michael 49 1985 A variational perspective on cloaking by anomalous localized resonance. Zbl 1366.78002 Kohn, R. V.; Lu, J.; Schweizer, B.; Weinstein, M. I. 47 2014 Upper bound on the coarsening rate for an epitaxial growth model. Zbl 1033.35123 Kohn, Robert V.; Yan, Xiaodong 45 2003 Another thin-film limit of micromagnetics. Zbl 1074.78012 Kohn, Robert V.; Slastikov, Valeriy V. 45 2005 Optimal bounds on the effective behavior of a mixture of two well-ordered elastic materials. Zbl 0805.73043 Allaire, Grégoire; Kohn, Robert V. 41 1993 Restrictions on microstructure. Zbl 0808.73063 Bhattacharya, Kaushik; Firoozye, Nikan B.; James, Richard D.; Kohn, Robert V. 40 1994 Microstructures minimizing the energy of a two-phase elastic composite in two space dimensions. II: The Vigdergauz microstructure. Zbl 0877.73041 Grabovsky, Yury; Kohn, Robert V. 39 1995 Scale-invariant extinction time estimates for some singular diffusion equations. Zbl 1223.35211 Giga, Yoshikazu; Kohn, Robert V. 37 2011 Elastic energy minimization and the recoverable strains of polycrystalline shape-memory materials. Zbl 0894.73225 Bhattacharya, Kaushik; Kohn, Robert V. 35 1997 Action minimization and sharp-interface limits for the stochastic Allen-Cahn equation. Zbl 1154.35021 Kohn, Robert V.; Otto, Felix; Reznikoff, Maria G.; Vanden-Eijnden, Eric 35 2007 Energy-driven pattern formation. Zbl 1140.49030 Kohn, Robert V. 34 2007 A deterministic-control-based approach to fully nonlinear parabolic and elliptic equations. Zbl 1204.35070 Kohn, Robert V.; Serfaty, Sylvia 33 2010 Bounds on the micromagnetic energy of a uniaxial ferromagnet. Zbl 0909.49004 Choksi, Rustum; Kohn, Robert V. 32 1998 Nucleation barriers for the cubic-to-tetragonal phase transformation. Zbl 1322.74057 Knüpfer, Hans; Kohn, Robert V.; Otto, Felix 31 2013 Ground state energy scaling laws during the onset and destruction of the intermediate state in a type I superconductor. Zbl 1142.82031 Choksi, Rustum; Conti, Sergio; Kohn, Robert V.; Otto, Felix 30 2008 A variational method for parameter identification. Zbl 0636.65127 Kohn, Robert V.; Lowe, Bruce D. 29 1988 Topics in the mathematical modelling of composite materials. Zbl 0870.00018 28 1997 Wrinkles as the result of compressive stresses in an annular thin film. Zbl 1302.74105 Bella, Peter; Kohn, Robert V. 27 2014 Magnetic microstructures – a paradigm of multiscale problems. Zbl 0991.82038 DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 26 2000 Identification of an unknown conductivity by means of measurements at the boundary. Zbl 0573.35084 Kohn, Robert V.; Vogelius, Michael 26 1984 Numerical implementation of a variational method for electrical impedance tomography. Zbl 0718.65089 Kohn, Robert V.; McKenney, Alan 26 1990 Explicit optimal bounds on the elastic energy of a two-phase composite in two space dimensions. Zbl 0805.73042 Allaire, Grégoire; Kohn, Robert V. 24 1993 Some model problems of polycrystal plasticity with deficient basic crystals. Zbl 0932.74012 Kohn, Robert V.; Little, Thomas D. 22 1999 A geometric model for coarsening during spiral-mode growth of thin films. Zbl 0962.74522 Schulze, T. P.; Kohn, Robert V. 21 1999 Magnetism and homogenization of microresonators. Zbl 1159.78350 Kohn, Robert V.; Shipman, Stephen P. 21 2008 Energy minimization and flux domain structure in the intermediate state of a type-I superconductor. Zbl 1136.82044 Choksi, R.; Kohn, R. V.; Otto, F. 21 2004 Metric-induced wrinkling of a thin elastic sheet. Zbl 1305.74061 Bella, Peter; Kohn, Robert V. 20 2014 Explicit relaxation of a variational problem in optimal design. Zbl 0527.49002 Kohn, Robert V.; Strang, Gilbert 19 1983 Optimal bounds for the effective energy of a mixture of isotropic, incompressible, elastic materials. Zbl 0662.73012 Kohn, Robert V.; Lipton, Robert 18 1988 Continuum relaxation of interacting steps on crystal surfaces in \(2+1\) dimensions. Zbl 1124.35088 Margetis, Dionisios; Kohn, Robert V. 18 2006 A new model for thin plates with rapidly varying thickness. III. Comparison of different scalings. Zbl 0605.73048 Kohn, Robert V.; Vogelius, Michael 18 1986 minimal energy for elastic inclusions. Zbl 1419.74128 Knüpfer, Hans; Kohn, Robert V. 18 2011 The initial-value problem for measure-valued solutions of a canonical \(2 \times 2\) system with linearly degenerate fields. Zbl 0784.35059 E, Weinan; Kohn, Robert V. 18 1991 Introduction (to Topics in the mathematical modelling of composite materials). Zbl 0913.35012 Cherkaev, Andrej V.; Kohn, Robert V. 17 1997 Microstructures minimizing the energy of a two-phase elastic composite in two space dimensions. I: The confocal ellipse construction. Zbl 0870.73041 Grabovsky, Yury; Kohn, Robert V. 17 1995 Some three-dimensional problems related to dielectric breakdown and polycrystal plasticity. Zbl 1041.74059 Garroni, Adriana; Kohn, Robert V. 17 2003 Energy scaling laws for conically constrained thin elastic sheets. Zbl 1329.74096 Brandman, Jeremy; Kohn, Robert V.; Nguyen, Hoai-Minh 17 2013 Magnetic elements at finite temperature and large deviation theory. Zbl 1107.82068 Kohn, R. V.; Reznikoff, M. G.; Vanden-Eijnden, E. 16 2005 Two-dimensional modelling of soft ferromagnetic films. Zbl 1065.74028 DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix; Schäfer, Rudolf 16 2001 Optimal fine-scale structures in compliance minimization for a shear load. Zbl 1383.74073 Kohn, Robert V.; Wirth, Benedikt 16 2016 On bounding the effective conductivity of anisotropic composites. Zbl 0631.73012 Kohn, Robert V.; Milton, Graeme W. 16 1986 Optimal lower bounds on the elastic energy of a composite made from two non-well-ordered isotropic materials. Zbl 0806.73038 Allaire, Grégoire; Kohn, Robert V. 15 1994 Partial regularity for optimal design problems involving both bulk and surface energies. Zbl 0946.49034 Lin, F. H.; Kohn, Robert V. 15 1999 Analysis of a compressed thin film bonded to a compliant substrate: the energy scaling law. Zbl 1421.74070 Kohn, Robert V.; Nguyen, Hoai-Minh 15 2013 Convergence of a crystalline algorithm for the heat equation in one dimension and for the motion of a graph by weighted curvature. Zbl 0791.65063 Girão, Pedro Martins; Kohn, Robert V. 14 1994 Asymptotic estimation and hypothesis testing results for vector linear time series models. Zbl 0422.62081 Kohn, R. 14 1979 Sharp-interface limit of the Allen-Cahn action functional in one space dimension. Zbl 1094.60044 Kohn, Robert V.; Reznikoff, Maria G.; Tonegawa, Yoshihiro 14 2006 Numerical analysis of a steepest-descent PDE model for surface relaxation below the roughening temperature. Zbl 1219.82241 Kohn, R. V.; Versieux, H. M. 14 2010 Repulsive interaction of Néel walls, and the internal length scale of the cross-tie wall. Zbl 1059.82046 DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 13 2003 The evolution of a crystal surface: analysis of a one-dimensional step train connecting two facets in the ADL regime. Zbl 1233.82045 Shehadeh, Hala Al Hajj; Kohn, Robert V.; Weare, Jonathan 13 2011 Blister patterns and energy minimization in compressed thin films on compliant substrates. Zbl 1442.74123 Bedrossian, Jacob; Kohn, Robert V. 13 2015 The string method as a dynamical system. Zbl 1250.37014 Cameron, Maria; Kohn, Robert V.; Vanden-Eijnden, Eric 13 2011 Effective dynamics for ferromagnetic thin films: a rigorous justification. Zbl 1145.82358 Kohn, Robert V.; Slastikov, Valeriy V. 12 2005 Coarsening of folds in hanging drapes. Zbl 1426.74215 Bella, Peter; Kohn, Robert V. 12 2017 On the spectral decomposition of stationary time series using Walsh functions. I. Zbl 0441.62082 Kohn, R. 11 1980 Optimal design in elasticity and plasticity. Zbl 0593.73091 Strang, Gilbert; Kohn, Robert V. 11 1986 Hencky-Prandtl nets and constrained Michell trusses. Zbl 0487.73111 Strang, Gilbert; Kohn, Robert V. 11 1983 Geometric parameters and the relaxation of multiwell energies. Zbl 0797.73051 Firoozye, Nikan B.; Kohn, Robert V. 10 1993 Optimization of structural topology in the high-porosity regime. Zbl 1149.74045 Bourdin, Blaise; Kohn, Robert V. 10 2008 Optimization of scattering resonances. Zbl 1273.74045 Heider, Pascal; Berebichez, D.; Kohn, Robert V.; Weinstein, M. I. 10 2008 Asymptotic properties of time domain Gaussian estimators. Zbl 0376.60028 Kohn, R. 9 1978 Relaxation and regularization of nonconvex variational problems. Zbl 0819.49014 Kohn, Robert V.; Müller, Stefan 8 1992 Coarsening rates for models of multicomponent phase separation. Zbl 1059.80010 Kohn, Robert V.; Yan, Xiaodong 8 2004 Asset price bubbles from heterogeneous beliefs about mean reversion rates. Zbl 1303.91081 Chen, Xi; Kohn, Robert V. 8 2011 On the bending and twisting of rods with misfit. Zbl 1387.74065 Kohn, Robert V.; O’Brien, Ethan 8 2018 Surface relaxation below the roughening temperature: some recent progress and open questions. Zbl 1252.35260 Kohn, Robert V. 8 2012 Duality relations for non-Ohmic composites, with applications to behavior near percolation. Zbl 0946.82049 Levy, Ohad; Kohn, Robert V. 7 1998 Energy minimizing twinning with variable volume fraction, for two nonlinear elastic phases with a single rank-one connection. Zbl 1504.74067 Conti, Sergio; Kohn, Robert V.; Misiats, Oleksandr 1 2022 Prediction with expert advice: a PDE perspective. Zbl 1439.35484 Drenska, Nadejda; Kohn, Robert V. 7 2020 The Abel Prize 2013–2017. Zbl 1419.01001 1 2019 On the bending and twisting of rods with misfit. Zbl 1387.74065 Kohn, Robert V.; O’Brien, Ethan 8 2018 The wrinkling of a twisted ribbon. Zbl 1397.74079 Kohn, Robert V.; O’Brien, Ethan 7 2018 Topics in the mathematical modelling of composite materials. Reprint of the 1997 edition. Zbl 1397.01040 2 2018 Coarsening of folds in hanging drapes. Zbl 1426.74215 Bella, Peter; Kohn, Robert V. 12 2017 Wrinkling of a thin circular sheet bonded to a spherical substrate. Zbl 1404.74088 Bella, Peter; Kohn, Robert V. 4 2017 Optimal fine-scale structures in compliance minimization for a shear load. Zbl 1383.74073 Kohn, Robert V.; Wirth, Benedikt 16 2016 Blister patterns and energy minimization in compressed thin films on compliant substrates. Zbl 1442.74123 Bedrossian, Jacob; Kohn, Robert V. 13 2015 A variational perspective on cloaking by anomalous localized resonance. Zbl 1366.78002 Kohn, R. V.; Lu, J.; Schweizer, B.; Weinstein, M. I. 47 2014 Wrinkles as the result of compressive stresses in an annular thin film. Zbl 1302.74105 Bella, Peter; Kohn, Robert V. 27 2014 Metric-induced wrinkling of a thin elastic sheet. Zbl 1305.74061 Bella, Peter; Kohn, Robert V. 20 2014 Nucleation barriers for the cubic-to-tetragonal phase transformation. Zbl 1322.74057 Knüpfer, Hans; Kohn, Robert V.; Otto, Felix 31 2013 Energy scaling laws for conically constrained thin elastic sheets. Zbl 1329.74096 Brandman, Jeremy; Kohn, Robert V.; Nguyen, Hoai-Minh 17 2013 Analysis of a compressed thin film bonded to a compliant substrate: the energy scaling law. Zbl 1421.74070 Kohn, Robert V.; Nguyen, Hoai-Minh 15 2013 Erratum to: Asset price bubbles from heterogeneous beliefs about mean reversion rates. Zbl 1309.91065 Chen, Xi; Kohn, Robert V. 5 2013 Surface relaxation below the roughening temperature: some recent progress and open questions. Zbl 1252.35260 Kohn, Robert V. 8 2012 Scale-invariant extinction time estimates for some singular diffusion equations. Zbl 1223.35211 Giga, Yoshikazu; Kohn, Robert V. 37 2011 minimal energy for elastic inclusions. Zbl 1419.74128 Knüpfer, Hans; Kohn, Robert V. 18 2011 The evolution of a crystal surface: analysis of a one-dimensional step train connecting two facets in the ADL regime. Zbl 1233.82045 Shehadeh, Hala Al Hajj; Kohn, Robert V.; Weare, Jonathan 13 2011 The string method as a dynamical system. Zbl 1250.37014 Cameron, Maria; Kohn, Robert V.; Vanden-Eijnden, Eric 13 2011 Asset price bubbles from heterogeneous beliefs about mean reversion rates. Zbl 1303.91081 Chen, Xi; Kohn, Robert V. 8 2011 Cloaking via change of variables for the Helmholtz equation. Zbl 1194.35505 Kohn, Robert V.; Onofrei, Daniel; Vogelius, Michael S.; Weinstein, Michael I. 58 2010 A deterministic-control-based approach to fully nonlinear parabolic and elliptic equations. Zbl 1204.35070 Kohn, Robert V.; Serfaty, Sylvia 33 2010 Numerical analysis of a steepest-descent PDE model for surface relaxation below the roughening temperature. Zbl 1219.82241 Kohn, R. V.; Versieux, H. M. 14 2010 Erratum: Cloaking via change of variables for the Helmholtz equation. Zbl 1221.35449 Kohn, Robert V.; Onofrei, Daniel; Vogelius, Michael S.; Weinstein, Michael I. 4 2010 Cloaking via change of variables in electric impedance tomography. Zbl 1153.35406 Kohn, R. V.; Shen, H.; Vogelius, M. S.; Weinstein, M. I. 65 2008 Ground state energy scaling laws during the onset and destruction of the intermediate state in a type I superconductor. Zbl 1142.82031 Choksi, Rustum; Conti, Sergio; Kohn, Robert V.; Otto, Felix 30 2008 Magnetism and homogenization of microresonators. Zbl 1159.78350 Kohn, Robert V.; Shipman, Stephen P. 21 2008 Optimization of structural topology in the high-porosity regime. Zbl 1149.74045 Bourdin, Blaise; Kohn, Robert V. 10 2008 Optimization of scattering resonances. Zbl 1273.74045 Heider, Pascal; Berebichez, D.; Kohn, Robert V.; Weinstein, M. I. 10 2008 Second-order PDE’s and deterministic games. Zbl 1179.91017 Kohn, Robert V.; Serfaty, Sylvia 2 2008 Action minimization and sharp-interface limits for the stochastic Allen-Cahn equation. Zbl 1154.35021 Kohn, Robert V.; Otto, Felix; Reznikoff, Maria G.; Vanden-Eijnden, Eric 35 2007 Energy-driven pattern formation. Zbl 1140.49030 Kohn, Robert V. 34 2007 Geometrically constrained walls. Zbl 1112.49036 Kohn, Robert V.; Slastikov, Valeriy V. 3 2007 A deterministic-control-based approach motion by curvature. Zbl 1206.53072 Kohn, Robert; Serfaty, Sylvia 65 2006 Recent analytical developments in micromagnetics. Zbl 1151.35426 DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 50 2006 Continuum relaxation of interacting steps on crystal surfaces in \(2+1\) dimensions. Zbl 1124.35088 Margetis, Dionisios; Kohn, Robert V. 18 2006 Sharp-interface limit of the Allen-Cahn action functional in one space dimension. Zbl 1094.60044 Kohn, Robert V.; Reznikoff, Maria G.; Tonegawa, Yoshihiro 14 2006 On the equivalence of the static and dynamic asset allocation problems. Zbl 1136.91451 Kohn, Robert V.; Papazoglu-Statescu, Oana M. 3 2006 Another thin-film limit of micromagnetics. Zbl 1074.78012 Kohn, Robert V.; Slastikov, Valeriy V. 45 2005 Magnetic elements at finite temperature and large deviation theory. Zbl 1107.82068 Kohn, R. V.; Reznikoff, M. G.; Vanden-Eijnden, E. 16 2005 Effective dynamics for ferromagnetic thin films: a rigorous justification. Zbl 1145.82358 Kohn, Robert V.; Slastikov, Valeriy V. 12 2005 Energy minimization and flux domain structure in the intermediate state of a type-I superconductor. Zbl 1136.82044 Choksi, R.; Kohn, R. V.; Otto, F. 21 2004 Coarsening rates for models of multicomponent phase separation. Zbl 1059.80010 Kohn, Robert V.; Yan, Xiaodong 8 2004 Upper bound on the coarsening rate for an epitaxial growth model. Zbl 1033.35123 Kohn, Robert V.; Yan, Xiaodong 45 2003 Some three-dimensional problems related to dielectric breakdown and polycrystal plasticity. Zbl 1041.74059 Garroni, Adriana; Kohn, Robert V. 17 2003 Repulsive interaction of Néel walls, and the internal length scale of the cross-tie wall. Zbl 1059.82046 DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 13 2003 A reduced theory for thin-film micromagnetics. Zbl 1027.82042 DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 72 2002 Upper bounds on coarsening rates. Zbl 1004.82011 Kohn, Robert V.; Otto, Felix 57 2002 A new approach to the continuum modeling of epitaxial growth: slope selection, coarsening, and the role of the uphill current. Zbl 1041.82014 Lo, Tak Shing; Kohn, Robert V. 6 2002 A compactness result in the gradient theory of phase transitions. Zbl 0986.49009 DeSimone, Antonio; Müller, Stefan; Kohn, Robert V.; Otto, Felix 56 2001 Two-dimensional modelling of soft ferromagnetic films. Zbl 1065.74028 DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix; Schäfer, Rudolf 16 2001 Singular perturbation and the energy of folds. Zbl 0973.49009 Jin, W.; Kohn, R. V. 69 2000 Magnetic microstructures – a paradigm of multiscale problems. Zbl 0991.82038 DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 26 2000 Geometrically nonlinear shape-memory polycrystals made from a two-variant material. Zbl 0978.74015 Kohn, Robert V.; Niethammer, Barbara 2 2000 Domain branching in uniaxial ferromagnets: A scaling law for the minimum energy. Zbl 1023.82011 Choksi, Rustum; Kohn, Robert V.; Otto, Felix 61 1999 Some model problems of polycrystal plasticity with deficient basic crystals. Zbl 0932.74012 Kohn, Robert V.; Little, Thomas D. 22 1999 A geometric model for coarsening during spiral-mode growth of thin films. Zbl 0962.74522 Schulze, T. P.; Kohn, Robert V. 21 1999 Partial regularity for optimal design problems involving both bulk and surface energies. Zbl 0946.49034 Lin, F. H.; Kohn, Robert V. 15 1999 Some examples of nonlinear homogenization involving nearly degenerate energies. Zbl 0926.74099 Bhattacharya, Kaushik; Kohn, Robert V.; Kozlov, S. 2 1999 Bounds on the micromagnetic energy of a uniaxial ferromagnet. Zbl 0909.49004 Choksi, Rustum; Kohn, Robert V. 32 1998 Duality relations for non-Ohmic composites, with applications to behavior near percolation. Zbl 0946.82049 Levy, Ohad; Kohn, Robert V. 7 1998 Elastic energy minimization and the recoverable strains of polycrystalline shape-memory materials. Zbl 0894.73225 Bhattacharya, Kaushik; Kohn, Robert V. 35 1997 Topics in the mathematical modelling of composite materials. Zbl 0870.00018 28 1997 Introduction (to Topics in the mathematical modelling of composite materials). Zbl 0913.35012 Cherkaev, Andrej V.; Kohn, Robert V. 17 1997 The crystalline algorithm for computing motion by curvature. Zbl 0869.65075 Girão, Pedro Martins; Kohn, Robert V. 2 1996 Microstructures minimizing the energy of a two-phase elastic composite in two space dimensions. II: The Vigdergauz microstructure. Zbl 0877.73041 Grabovsky, Yury; Kohn, Robert V. 39 1995 Microstructures minimizing the energy of a two-phase elastic composite in two space dimensions. I: The confocal ellipse construction. Zbl 0870.73041 Grabovsky, Yury; Kohn, Robert V. 17 1995 Anisotropy of the Vigdergauz microstructure. Zbl 0844.73048 Grabovsky, Yury; Kohn, Robert V. 3 1995 Surface energy and microstructure in coherent phase transitions. Zbl 0803.49007 Kohn, Robert V.; Müller, Stefan 108 1994 Restrictions on microstructure. Zbl 0808.73063 Bhattacharya, Kaushik; Firoozye, Nikan B.; James, Richard D.; Kohn, Robert V. 40 1994 Optimal lower bounds on the elastic energy of a composite made from two non-well-ordered isotropic materials. Zbl 0806.73038 Allaire, Grégoire; Kohn, Robert V. 15 1994 Convergence of a crystalline algorithm for the heat equation in one dimension and for the motion of a graph by weighted curvature. Zbl 0791.65063 Girão, Pedro Martins; Kohn, Robert V. 14 1994 Optimal design for minimum weight and compliance in plane stress using extremal microstructures. Zbl 0794.73044 Allaire, G.; Kohn, Robert V. 75 1993 Optimal bounds on the effective behavior of a mixture of two well-ordered elastic materials. Zbl 0805.73043 Allaire, Grégoire; Kohn, Robert V. 41 1993 Explicit optimal bounds on the elastic energy of a two-phase composite in two space dimensions. Zbl 0805.73042 Allaire, Grégoire; Kohn, Robert V. 24 1993 Geometric parameters and the relaxation of multiwell energies. Zbl 0797.73051 Firoozye, Nikan B.; Kohn, Robert V. 10 1993 Refined asymptotics for the blow-up of \(u_ t-{\Delta}u=u^ p\). Zbl 0784.35010 Filippas, Stathis; Kohn, Robert V. 85 1992 Relaxation and regularization of nonconvex variational problems. Zbl 0819.49014 Kohn, Robert V.; Müller, Stefan 8 1992 Numerical structural optimization via a relaxed formulation. Zbl 0767.73049 Kohn, Robert V. 1 1992 The relaxation of a double-well energy. Zbl 0825.73029 Kohn, Robert V. 139 1991 Motion by mean curvature as the singular limit of Ginzburg-Landau dynamics. Zbl 0735.35072 Bronsard, Lia; Kohn, Robert V. 100 1991 The initial-value problem for measure-valued solutions of a canonical \(2 \times 2\) system with linearly degenerate fields. Zbl 0784.35059 E, Weinan; Kohn, Robert V. 18 1991 On the slowness of phase boundary motion in one space dimension. Zbl 0761.35044 Bronsard, Lia; Kohn, Robert V. 63 1990 Numerical implementation of a variational method for electrical impedance tomography. Zbl 0718.65089 Kohn, Robert V.; McKenney, Alan 26 1990 The relationship between linear and nonlinear variational models of coherent phase transitions. Zbl 0692.73016 Kohn, Robert V. 4 1990 Local minimisers and singular perturbations. Zbl 0676.49011 Kohn, Robert V.; Sternberg, Peter 185 1989 Nondegeneracy of blow up for semilinear heat equations. Zbl 0703.35020 Giga, Yoshikazu; Kohn, Robert V. 149 1989 Removability of blow-up points for semilinear heat equations. Zbl 0693.35015 Giga, Yoshikazu; Kohn, Robert V. 1 1989 Random media and composites. Proceedings of the SIAM workshop, Leesburg, Virginia (USA), December 7-10, 1988. Zbl 0707.00028 1 1989 Variational bounds on the effective moduli of anisotropic composites. Zbl 0672.73012 Milton, Graeme W.; Kohn, Robert V. 74 1988 A rescaling algorithm for the numerical calculation of blowing-up solutions. Zbl 0652.65070 Berger, Marsha; Kohn, Robert V. 69 1988 A variational method for parameter identification. Zbl 0636.65127 Kohn, Robert V.; Lowe, Bruce D. 29 1988 Optimal bounds for the effective energy of a mixture of isotropic, incompressible, elastic materials. Zbl 0662.73012 Kohn, Robert V.; Lipton, Robert 18 1988 Optimal design of a two-way conductor. Zbl 0656.73047 Strang, Gilbert; Kohn, Robert V. 2 1988 Characterizing blowup using similarity variables. Zbl 0601.35052 Giga, Yoshikazu; Kohn, Robert V. 192 1987 Relaxation of a variational method for impedance computed tomography. Zbl 0659.49009 Kohn, Robert V.; Vogelius, Michael 64 1987 The constrained least gradient problem. Zbl 0668.73060 Kohn, Robert V.; Strang, Gilbert 7 1987 ...and 35 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,940 Authors 46 Conti, Sergio 44 Kohn, Robert Vita 35 Zaag, Hatem 33 Wei, Juncheng 30 Giga, Yoshikazu 29 Nguyen, Hoai-Minh 29 Uhlmann, Gunther Alberto 26 Kang, Dongsheng 25 Milton, Graeme Walter 23 Otto, Felix 23 Wang, Yanqing 22 Ignat, Radu 22 Seregin, Gregory A. 21 Chae, Dongho 21 Liu, Hongyu 20 Müller, Stefan 19 Dolbeault, Jean 19 Pedregal, Pablo 18 Fonseca, Irene 18 Han, Pigong 18 Ortiz, Michael 17 Del Pino, Manuel A. 16 Kang, Hyeonbae 16 Souplet, Philippe 16 Vogelius, Michael S. 15 Li, Jichun 15 Lipton, Robert P. 15 Maremonti, Paolo 15 Muratov, Cyrill B. 15 Slastikov, Valeriy V. 15 Sternberg, Peter J. 15 Wang, Changyou 14 Allaire, Grégoire 14 Barker, Tobias 14 Carstensen, Carsten 14 Francfort, Gilles A. 14 Grabovsky, Yury 14 Guo, Boling 14 Guo, Jong-Shenq 14 Lassas, Matti J. 14 Mizoguchi, Noriko 14 Rossi, Julio Daniel 14 Schonbek, Maria Elena 14 Šverák, Vladimír 14 Tsai, Tai-Peng 14 Wang, Cheng 13 Abdellaoui, Boumediene 13 Galaktionov, Victor Aleksandrovich 13 Harutyunyan, Davit 13 Ponte Castañeda, Pedro 13 Ruzhansky, Michael V. 13 Zhang, Kewei 13 Zheng, Sining 12 Bronsard, Lia 12 Choe, Hi Jun 12 Dolzmann, Georg 12 Folino, Raffaele 12 Hou, Thomas Yizhao 12 Kang, Kyungkeun 12 Kukavica, Igor 12 Liu, Qiao 12 Merle, Frank 12 Peral Alonso, Ireneo 12 Velázquez, Juan J. L. 12 Zwicknagl, Barbara Maria 11 Ammari, Habib 11 Bouchitté, Guy 11 Chen, Wenbin 11 Esteban, Maria J. 11 Hackl, Klaus 11 Knüpfer, Hans 11 Lam, Nguyen 11 Li, Hongjie 11 Lin, Fang Hua 11 Liu, Jianguo 11 Liu, Qing 11 Lu, Guozhen 11 Olbermann, Heiner 11 Rădulescu, Vicenţiu D. 11 Ren, Xiaofeng 11 Rüland, Angkana 11 Suragan, Durvudkhan 11 Wolf, Jörg 11 Wu, Gang 11 Zhao, Xiaopeng 10 Alessandrini, Giovanni 10 Andrei, Neculai 10 Bradshaw, Zachary 10 Chen, Caisheng 10 Ciarlet, Philippe Gaston 10 Ghoussoub, Nassif A. 10 Grujić, Zoran 10 Guo, Zongming 10 Harrach, Bastian 10 Herrero, Miguel Ángel 10 Hu, Bei 10 Musina, Roberta 10 Nesi, Vincenzo 10 Vasseur, Alexis F. 10 Wang, Shu ...and 3,840 more Authors all top 5 Cited in 422 Serials 194 Journal of Differential Equations 187 Archive for Rational Mechanics and Analysis 165 Journal of Mathematical Analysis and Applications 136 Nonlinear Analysis. Theory, Methods & Applications. 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Series S ...and 322 more Serials all top 5 Cited in 57 Fields 2,800 Partial differential equations (35-XX) 882 Mechanics of deformable solids (74-XX) 747 Fluid mechanics (76-XX) 673 Calculus of variations and optimal control; optimization (49-XX) 393 Numerical analysis (65-XX) 222 Statistical mechanics, structure of matter (82-XX) 204 Optics, electromagnetic theory (78-XX) 167 Real functions (26-XX) 164 Functional analysis (46-XX) 128 Differential geometry (53-XX) 123 Global analysis, analysis on manifolds (58-XX) 108 Operator theory (47-XX) 89 Probability theory and stochastic processes (60-XX) 71 Classical thermodynamics, heat transfer (80-XX) 63 Biology and other natural sciences (92-XX) 58 Operations research, mathematical programming (90-XX) 53 Ordinary differential equations (34-XX) 50 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 38 Harmonic analysis on Euclidean spaces (42-XX) 34 Dynamical systems and ergodic theory (37-XX) 34 Computer science (68-XX) 34 Quantum theory (81-XX) 33 Measure and integration (28-XX) 31 Integral equations (45-XX) 30 Systems theory; control (93-XX) 27 Potential theory (31-XX) 23 Functions of a complex variable (30-XX) 23 Information and communication theory, circuits (94-XX) 20 Mechanics of particles and systems (70-XX) 18 Topological groups, Lie groups (22-XX) 18 Geophysics (86-XX) 14 Approximations and expansions (41-XX) 12 Abstract harmonic analysis (43-XX) 12 Statistics (62-XX) 11 Convex and discrete geometry (52-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 7 Special functions (33-XX) 7 Difference and functional equations (39-XX) 6 General and overarching topics; collections (00-XX) 6 Several complex variables and analytic spaces (32-XX) 6 General topology (54-XX) 5 History and biography (01-XX) 5 Integral transforms, operational calculus (44-XX) 4 Relativity and gravitational theory (83-XX) 4 Astronomy and astrophysics (85-XX) 3 Mathematical logic and foundations (03-XX) 3 Combinatorics (05-XX) 3 Manifolds and cell complexes (57-XX) 2 Number theory (11-XX) 2 Nonassociative rings and algebras (17-XX) 2 Group theory and generalizations (20-XX) 2 Sequences, series, summability (40-XX) 2 Geometry (51-XX) 2 Mathematics education (97-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic topology (55-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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