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: 143 Publications since 1975 6 Contributions as Editor · 1 Further Contribution Co-Authors: 74 Co-Authors with 123 Joint Publications 2,718 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 Grabovsky, Yury 3 Milton, Graeme Walter 3 Nirenberg, Louis 3 Reznikoff, Maria G. 3 Slastikov, Valeriy V. 3 Vanden-Eijnden, Eric 2 Botha, Imke 2 Bronsard, Lia 2 Chen, Xi 2 Conti, Sergio 2 Drovandi, Christopher C. 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 Nguyen, Hoai-Minh 2 O’Brien, Ethan 2 Onofrei, Daniel 2 Reyna, Luis Guillermo M. 2 Temam, Roger Meyer 2 Toro, Tatiana 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 René 1 Drenska, Nadejda 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, 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 Misiats, Oleksandr 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 1 Schäfer, Rudolf 1 Schweizer, Ben ...and 17 more Co-Authors all top 5 Serials 28 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 Statistics and Computing 1 Bayesian Analysis 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) 52 Partial differential equations (35-XX) 41 Calculus of variations and optimal control; optimization (49-XX) 25 Statistical mechanics, structure of matter (82-XX) 13 Optics, electromagnetic theory (78-XX) 11 Statistics (62-XX) 9 Numerical analysis (65-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 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 Classical thermodynamics, heat transfer (80-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 5,343 times in 3,825 Documents Cited by ▼ Year ▼ Partial regularity of suitable weak solutions of the Navier-Stokes equations. Zbl 0509.35067Caffarelli, L.; Kohn, R.; Nirenberg, Louis 662 1982 First order interpolation inequalities with weights. Zbl 0563.46024Caffarelli, L.; Kohn, R.; Nirenberg, Louis 553 1984 Asymptotically self-similar blow-up of semilinear heat equations. Zbl 0585.35051Giga, Yoshikazu; Kohn, Robert V. 270 1985 Characterizing blowup using similarity variables. Zbl 0601.35052Giga, Yoshikazu; Kohn, Robert V. 184 1987 Local minimisers and singular perturbations. Zbl 0676.49011Kohn, Robert V.; Sternberg, Peter 173 1989 Determining conductivity by boundary measurements. Zbl 0586.35089Kohn, Robert V.; Vogelius, Michael 144 1984 Nondegeneracy of blow up for semilinear heat equations. Zbl 0703.35020Giga, Yoshikazu; Kohn, Robert V. 144 1989 The relaxation of a double-well energy. Zbl 0825.73029Kohn, Robert V. 134 1991 Optimal design and relaxation of variational problems. I. Zbl 0609.49008Kohn, Robert V.; Strang, Gilbert 134 1986 Determining conductivity by boundary measurements. II: Interior results. Zbl 0595.35092Kohn, Robert V.; Vogelius, Michael 121 1985 Surface energy and microstructure in coherent phase transitions. Zbl 0803.49007Kohn, Robert V.; Müller, Stefan 99 1994 Motion by mean curvature as the singular limit of Ginzburg-Landau dynamics. Zbl 0735.35072Bronsard, Lia; Kohn, Robert V. 97 1991 Refined asymptotics for the blow-up of \(u_ t-{\Delta}u=u^ p\). Zbl 0784.35010Filippas, Stathis; Kohn, Robert V. 83 1992 Dual spaces of stresses and strains, with applications to Hencky plasticity. Zbl 0532.73039Kohn, Robert V.; Temam, Roger 79 1983 Variational bounds on the effective moduli of anisotropic composites. Zbl 0672.73012Milton, Graeme W.; Kohn, Robert V. 72 1988 Optimal design for minimum weight and compliance in plane stress using extremal microstructures. Zbl 0794.73044Allaire, G.; Kohn, Robert V. 68 1993 Singular perturbation and the energy of folds. Zbl 0973.49009Jin, W.; Kohn, R. V. 68 2000 A reduced theory for thin-film micromagnetics. Zbl 1027.82042DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 66 2002 A rescaling algorithm for the numerical calculation of blowing-up solutions. Zbl 0652.65070Berger, Marsha; Kohn, Robert V. 65 1988 On the slowness of phase boundary motion in one space dimension. Zbl 0761.35044Bronsard, Lia; Kohn, Robert V. 63 1990 Cloaking via change of variables in electric impedance tomography. Zbl 1153.35406Kohn, R. V.; Shen, H.; Vogelius, M. S.; Weinstein, M. I. 61 2008 Optimal design and relaxation of variational problems. III. Zbl 0694.49004Kohn, Robert V.; Strang, Gilbert 61 1986 A deterministic-control-based approach motion by curvature. Zbl 1206.53072Kohn, Robert; Serfaty, Sylvia 60 2006 Relaxation of a variational method for impedance computed tomography. Zbl 0659.49009Kohn, Robert V.; Vogelius, Michael 58 1987 Numerical study of a relaxed variational problem from optimal design. Zbl 0591.73119Goodman, Jonathan; Kohn, Robert V.; Reyna, Luis 57 1986 Cloaking via change of variables for the Helmholtz equation. Zbl 1194.35505Kohn, Robert V.; Onofrei, Daniel; Vogelius, Michael S.; Weinstein, Michael I. 55 2010 A new model for thin plates with rapidly varying thickness. Zbl 0532.73055Kohn, Robert V.; Vogelius, Michael 55 1984 Domain branching in uniaxial ferromagnets: A scaling law for the minimum energy. Zbl 1023.82011Choksi, Rustum; Kohn, Robert V.; Otto, Felix 55 1999 Upper bounds on coarsening rates. Zbl 1004.82011Kohn, Robert V.; Otto, Felix 54 2002 A compactness result in the gradient theory of phase transitions. Zbl 0986.49009DeSimone, Antonio; Müller, Stefan; Kohn, Robert V.; Otto, Felix 54 2001 Optimal design and relaxation of variational problems. II. Zbl 0621.49008Kohn, Robert V.; Strang, Gilbert 53 1986 New integral estimates for deformations in terms of their nonlinear strains. Zbl 0491.73023Kohn, Robert V. 50 1982 Recent analytical developments in micromagnetics. Zbl 1151.35426DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 49 2006 A variational perspective on cloaking by anomalous localized resonance. Zbl 1366.78002Kohn, R. V.; Lu, J.; Schweizer, B.; Weinstein, M. I. 46 2014 A new model for thin plates with rapidly varying thickness. II: A convergence proof. Zbl 0565.73046Kohn, Robert V.; Vogelius, Michael 46 1985 Another thin-film limit of micromagnetics. Zbl 1074.78012Kohn, Robert V.; Slastikov, Valeriy V. 41 2005 Optimal bounds on the effective behavior of a mixture of two well-ordered elastic materials. Zbl 0805.73043Allaire, Grégoire; Kohn, Robert V. 41 1993 Upper bound on the coarsening rate for an epitaxial growth model. Zbl 1033.35123Kohn, Robert V.; Yan, Xiaodong 41 2003 Restrictions on microstructure. Zbl 0808.73063Bhattacharya, Kaushik; Firoozye, Nikan B.; James, Richard D.; Kohn, Robert V. 38 1994 Microstructures minimizing the energy of a two-phase elastic composite in two space dimensions. II: The Vigdergauz microstructure. Zbl 0877.73041Grabovsky, Yury; Kohn, Robert V. 36 1995 Action minimization and sharp-interface limits for the stochastic Allen-Cahn equation. Zbl 1154.35021Kohn, Robert V.; Otto, Felix; Reznikoff, Maria G.; Vanden-Eijnden, Eric 34 2007 Scale-invariant extinction time estimates for some singular diffusion equations. Zbl 1223.35211Giga, Yoshikazu; Kohn, Robert V. 33 2011 Elastic energy minimization and the recoverable strains of polycrystalline shape-memory materials. Zbl 0894.73225Bhattacharya, Kaushik; Kohn, Robert V. 32 1997 Energy-driven pattern formation. Zbl 1140.49030Kohn, Robert V. 31 2007 A deterministic-control-based approach to fully nonlinear parabolic and elliptic equations. Zbl 1204.35070Kohn, Robert V.; Serfaty, Sylvia 30 2010 A variational method for parameter identification. Zbl 0636.65127Kohn, Robert V.; Lowe, Bruce D. 29 1988 Ground state energy scaling laws during the onset and destruction of the intermediate state in a type I superconductor. Zbl 1142.82031Choksi, Rustum; Conti, Sergio; Kohn, Robert V.; Otto, Felix 29 2008 Bounds on the micromagnetic energy of a uniaxial ferromagnet. Zbl 0909.49004Choksi, Rustum; Kohn, Robert V. 28 1998 Magnetic microstructures – a paradigm of multiscale problems. Zbl 0991.82038DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 26 2000 Numerical implementation of a variational method for electrical impedance tomography. Zbl 0718.65089Kohn, Robert V.; McKenney, Alan 26 1990 Nucleation barriers for the cubic-to-tetragonal phase transformation. Zbl 1322.74057Knüpfer, Hans; Kohn, Robert V.; Otto, Felix 25 2013 Explicit optimal bounds on the elastic energy of a two-phase composite in two space dimensions. Zbl 0805.73042Allaire, Grégoire; Kohn, Robert V. 24 1993 Wrinkles as the result of compressive stresses in an annular thin film. Zbl 1302.74105Bella, Peter; Kohn, Robert V. 24 2014 Topics in the mathematical modelling of composite materials. Zbl 0870.00018 20 1997 Metric-induced wrinkling of a thin elastic sheet. Zbl 1305.74061Bella, Peter; Kohn, Robert V. 20 2014 Some model problems of polycrystal plasticity with deficient basic crystals. Zbl 0932.74012Kohn, Robert V.; Little, Thomas D. 20 1999 Magnetism and homogenization of microresonators. Zbl 1159.78350Kohn, Robert V.; Shipman, Stephen P. 20 2008 Explicit relaxation of a variational problem in optimal design. Zbl 0527.49002Kohn, Robert V.; Strang, Gilbert 19 1983 A geometric model for coarsening during spiral-mode growth of thin films. Zbl 0962.74522Schulze, T. P.; Kohn, Robert V. 19 1999 Energy minimization and flux domain structure in the intermediate state of a type-I superconductor. Zbl 1136.82044Choksi, R.; Kohn, R. V.; Otto, F. 19 2004 The initial-value problem for measure-valued solutions of a canonical \(2 \times 2\) system with linearly degenerate fields. Zbl 0784.35059E, Weinan; Kohn, Robert V. 18 1991 Optimal bounds for the effective energy of a mixture of isotropic, incompressible, elastic materials. Zbl 0662.73012Kohn, Robert V.; Lipton, Robert 18 1988 Identification of an unknown conductivity by means of measurements at the boundary. Zbl 0573.35084Kohn, Robert V.; Vogelius, Michael 18 1984 Microstructures minimizing the energy of a two-phase elastic composite in two space dimensions. I: The confocal ellipse construction. Zbl 0870.73041Grabovsky, Yury; Kohn, Robert V. 16 1995 Two-dimensional modelling of soft ferromagnetic films. Zbl 1065.74028DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix; Schäfer, Rudolf 16 2001 Introduction (to Topics in the mathematical modelling of composite materials). Zbl 0913.35012Cherkaev, Andrej V.; Kohn, Robert V. 16 1997 Some three-dimensional problems related to dielectric breakdown and polycrystal plasticity. Zbl 1041.74059Garroni, Adriana; Kohn, Robert V. 16 2003 Continuum relaxation of interacting steps on crystal surfaces in \(2+1\) dimensions. Zbl 1124.35088Margetis, Dionisios; Kohn, Robert V. 16 2006 Energy scaling laws for conically constrained thin elastic sheets. Zbl 1329.74096Brandman, Jeremy; Kohn, Robert V.; Nguyen, Hoai-Minh 16 2013 A new model for thin plates with rapidly varying thickness. III. Comparison of different scalings. Zbl 0605.73048Kohn, Robert V.; Vogelius, Michael 16 1986 Optimal lower bounds on the elastic energy of a composite made from two non-well-ordered isotropic materials. Zbl 0806.73038Allaire, Grégoire; Kohn, Robert V. 15 1994 Analysis of a compressed thin film bonded to a compliant substrate: the energy scaling law. Zbl 1421.74070Kohn, Robert V.; Nguyen, Hoai-Minh 14 2013 Convergence of a crystalline algorithm for the heat equation in one dimension and for the motion of a graph by weighted curvature. Zbl 0791.65063Girão, Pedro Martins; Kohn, Robert V. 14 1994 Asymptotic estimation and hypothesis testing results for vector linear time series models. Zbl 0422.62081Kohn, R. 14 1979 Magnetic elements at finite temperature and large deviation theory. Zbl 1107.82068Kohn, R. V.; Reznikoff, M. G.; Vanden-Eijnden, E. 14 2005 Optimal fine-scale structures in compliance minimization for a shear load. Zbl 1383.74073Kohn, Robert V.; Wirth, Benedikt 14 2016 On bounding the effective conductivity of anisotropic composites. Zbl 0631.73012Kohn, Robert V.; Milton, Graeme W. 13 1986 Partial regularity for optimal design problems involving both bulk and surface energies. Zbl 0946.49034Lin, F. H.; Kohn, Robert V. 13 1999 Repulsive interaction of Néel walls, and the internal length scale of the cross-tie wall. Zbl 1059.82046DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 13 2003 Sharp-interface limit of the Allen-Cahn action functional in one space dimension. Zbl 1094.60044Kohn, Robert V.; Reznikoff, Maria G.; Tonegawa, Yoshihiro 13 2006 minimal energy for elastic inclusions. Zbl 1419.74128Knüpfer, Hans; Kohn, Robert V. 13 2011 Numerical analysis of a steepest-descent PDE model for surface relaxation below the roughening temperature. Zbl 1219.82241Kohn, R. V.; Versieux, H. M. 12 2010 The evolution of a crystal surface: analysis of a one-dimensional step train connecting two facets in the ADL regime. Zbl 1233.82045Shehadeh, Hala Al Hajj; Kohn, Robert V.; Weare, Jonathan 12 2011 Blister patterns and energy minimization in compressed thin films on compliant substrates. Zbl 1442.74123Bedrossian, Jacob; Kohn, Robert V. 12 2015 On the spectral decomposition of stationary time series using Walsh functions. I. Zbl 0441.62082Kohn, R. 11 1980 Effective dynamics for ferromagnetic thin films: a rigorous justification. Zbl 1145.82358Kohn, Robert V.; Slastikov, Valeriy V. 11 2005 Optimal design in elasticity and plasticity. Zbl 0593.73091Strang, Gilbert; Kohn, Robert V. 11 1986 Coarsening of folds in hanging drapes. Zbl 1426.74215Bella, Peter; Kohn, Robert V. 11 2017 Hencky-Prandtl nets and constrained Michell trusses. Zbl 0487.73111Strang, Gilbert; Kohn, Robert V. 10 1983 Optimization of scattering resonances. Zbl 1273.74045Heider, Pascal; Berebichez, D.; Kohn, Robert V.; Weinstein, M. I. 10 2008 The string method as a dynamical system. Zbl 1250.37014Cameron, Maria; Kohn, Robert V.; Vanden-Eijnden, Eric 10 2011 Geometric parameters and the relaxation of multiwell energies. Zbl 0797.73051Firoozye, Nikan B.; Kohn, Robert V. 9 1993 Optimization of structural topology in the high-porosity regime. Zbl 1149.74045Bourdin, Blaise; Kohn, Robert V. 9 2008 Asymptotic properties of time domain Gaussian estimators. Zbl 0376.60028Kohn, R. 9 1978 Asset price bubbles from heterogeneous beliefs about mean reversion rates. Zbl 1303.91081Chen, Xi; Kohn, Robert V. 8 2011 On the bending and twisting of rods with misfit. Zbl 1387.74065Kohn, Robert V.; O’Brien, Ethan 8 2018 Coarsening rates for models of multicomponent phase separation. Zbl 1059.80010Kohn, Robert V.; Yan, Xiaodong 8 2004 Relaxation and regularization of nonconvex variational problems. Zbl 0819.49014Kohn, Robert V.; Müller, Stefan 7 1992 Surface relaxation below the roughening temperature: some recent progress and open questions. Zbl 1252.35260Kohn, Robert V. 7 2012 The wrinkling of a twisted ribbon. Zbl 1397.74079Kohn, Robert V.; O’Brien, Ethan 6 2018 Particle methods for stochastic differential equation mixed effects models. Zbl 1480.62053Botha, Imke; Kohn, Robert; Drovandi, Christopher 4 2021 Prediction with expert advice: a PDE perspective. Zbl 1439.35484Drenska, Nadejda; Kohn, Robert V. 3 2020 The Abel Prize 2013–2017. Zbl 1419.01001 1 2019 On the bending and twisting of rods with misfit. Zbl 1387.74065Kohn, Robert V.; O’Brien, Ethan 8 2018 The wrinkling of a twisted ribbon. Zbl 1397.74079Kohn, Robert V.; O’Brien, Ethan 6 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 1426.74215Bella, Peter; Kohn, Robert V. 11 2017 Wrinkling of a thin circular sheet bonded to a spherical substrate. Zbl 1404.74088Bella, Peter; Kohn, Robert V. 3 2017 Optimal fine-scale structures in compliance minimization for a shear load. Zbl 1383.74073Kohn, Robert V.; Wirth, Benedikt 14 2016 Blister patterns and energy minimization in compressed thin films on compliant substrates. Zbl 1442.74123Bedrossian, Jacob; Kohn, Robert V. 12 2015 A variational perspective on cloaking by anomalous localized resonance. Zbl 1366.78002Kohn, R. V.; Lu, J.; Schweizer, B.; Weinstein, M. I. 46 2014 Wrinkles as the result of compressive stresses in an annular thin film. Zbl 1302.74105Bella, Peter; Kohn, Robert V. 24 2014 Metric-induced wrinkling of a thin elastic sheet. Zbl 1305.74061Bella, Peter; Kohn, Robert V. 20 2014 Nucleation barriers for the cubic-to-tetragonal phase transformation. Zbl 1322.74057Knüpfer, Hans; Kohn, Robert V.; Otto, Felix 25 2013 Energy scaling laws for conically constrained thin elastic sheets. Zbl 1329.74096Brandman, Jeremy; Kohn, Robert V.; Nguyen, Hoai-Minh 16 2013 Analysis of a compressed thin film bonded to a compliant substrate: the energy scaling law. Zbl 1421.74070Kohn, Robert V.; Nguyen, Hoai-Minh 14 2013 Erratum to: Asset price bubbles from heterogeneous beliefs about mean reversion rates. Zbl 1309.91065Chen, Xi; Kohn, Robert V. 5 2013 Surface relaxation below the roughening temperature: some recent progress and open questions. Zbl 1252.35260Kohn, Robert V. 7 2012 Scale-invariant extinction time estimates for some singular diffusion equations. Zbl 1223.35211Giga, Yoshikazu; Kohn, Robert V. 33 2011 minimal energy for elastic inclusions. Zbl 1419.74128Knüpfer, Hans; Kohn, Robert V. 13 2011 The evolution of a crystal surface: analysis of a one-dimensional step train connecting two facets in the ADL regime. Zbl 1233.82045Shehadeh, Hala Al Hajj; Kohn, Robert V.; Weare, Jonathan 12 2011 The string method as a dynamical system. Zbl 1250.37014Cameron, Maria; Kohn, Robert V.; Vanden-Eijnden, Eric 10 2011 Asset price bubbles from heterogeneous beliefs about mean reversion rates. Zbl 1303.91081Chen, Xi; Kohn, Robert V. 8 2011 Cloaking via change of variables for the Helmholtz equation. Zbl 1194.35505Kohn, Robert V.; Onofrei, Daniel; Vogelius, Michael S.; Weinstein, Michael I. 55 2010 A deterministic-control-based approach to fully nonlinear parabolic and elliptic equations. Zbl 1204.35070Kohn, Robert V.; Serfaty, Sylvia 30 2010 Numerical analysis of a steepest-descent PDE model for surface relaxation below the roughening temperature. Zbl 1219.82241Kohn, R. V.; Versieux, H. M. 12 2010 Erratum: Cloaking via change of variables for the Helmholtz equation. Zbl 1221.35449Kohn, Robert V.; Onofrei, Daniel; Vogelius, Michael S.; Weinstein, Michael I. 4 2010 Cloaking via change of variables in electric impedance tomography. Zbl 1153.35406Kohn, R. V.; Shen, H.; Vogelius, M. S.; Weinstein, M. I. 61 2008 Ground state energy scaling laws during the onset and destruction of the intermediate state in a type I superconductor. Zbl 1142.82031Choksi, Rustum; Conti, Sergio; Kohn, Robert V.; Otto, Felix 29 2008 Magnetism and homogenization of microresonators. Zbl 1159.78350Kohn, Robert V.; Shipman, Stephen P. 20 2008 Optimization of scattering resonances. Zbl 1273.74045Heider, Pascal; Berebichez, D.; Kohn, Robert V.; Weinstein, M. I. 10 2008 Optimization of structural topology in the high-porosity regime. Zbl 1149.74045Bourdin, Blaise; Kohn, Robert V. 9 2008 Second-order PDE’s and deterministic games. Zbl 1179.91017Kohn, Robert V.; Serfaty, Sylvia 1 2008 Action minimization and sharp-interface limits for the stochastic Allen-Cahn equation. Zbl 1154.35021Kohn, Robert V.; Otto, Felix; Reznikoff, Maria G.; Vanden-Eijnden, Eric 34 2007 Energy-driven pattern formation. Zbl 1140.49030Kohn, Robert V. 31 2007 Geometrically constrained walls. Zbl 1112.49036Kohn, Robert V.; Slastikov, Valeriy V. 3 2007 A deterministic-control-based approach motion by curvature. Zbl 1206.53072Kohn, Robert; Serfaty, Sylvia 60 2006 Recent analytical developments in micromagnetics. Zbl 1151.35426DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 49 2006 Continuum relaxation of interacting steps on crystal surfaces in \(2+1\) dimensions. Zbl 1124.35088Margetis, Dionisios; Kohn, Robert V. 16 2006 Sharp-interface limit of the Allen-Cahn action functional in one space dimension. Zbl 1094.60044Kohn, Robert V.; Reznikoff, Maria G.; Tonegawa, Yoshihiro 13 2006 On the equivalence of the static and dynamic asset allocation problems. Zbl 1136.91451Kohn, Robert V.; Papazoglu-Statescu, Oana M. 3 2006 Another thin-film limit of micromagnetics. Zbl 1074.78012Kohn, Robert V.; Slastikov, Valeriy V. 41 2005 Magnetic elements at finite temperature and large deviation theory. Zbl 1107.82068Kohn, R. V.; Reznikoff, M. G.; Vanden-Eijnden, E. 14 2005 Effective dynamics for ferromagnetic thin films: a rigorous justification. Zbl 1145.82358Kohn, Robert V.; Slastikov, Valeriy V. 11 2005 Energy minimization and flux domain structure in the intermediate state of a type-I superconductor. Zbl 1136.82044Choksi, R.; Kohn, R. V.; Otto, F. 19 2004 Coarsening rates for models of multicomponent phase separation. Zbl 1059.80010Kohn, Robert V.; Yan, Xiaodong 8 2004 Upper bound on the coarsening rate for an epitaxial growth model. Zbl 1033.35123Kohn, Robert V.; Yan, Xiaodong 41 2003 Some three-dimensional problems related to dielectric breakdown and polycrystal plasticity. Zbl 1041.74059Garroni, Adriana; Kohn, Robert V. 16 2003 Repulsive interaction of Néel walls, and the internal length scale of the cross-tie wall. Zbl 1059.82046DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 13 2003 A reduced theory for thin-film micromagnetics. Zbl 1027.82042DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 66 2002 Upper bounds on coarsening rates. Zbl 1004.82011Kohn, Robert V.; Otto, Felix 54 2002 A new approach to the continuum modeling of epitaxial growth: slope selection, coarsening, and the role of the uphill current. Zbl 1041.82014Lo, Tak Shing; Kohn, Robert V. 6 2002 A compactness result in the gradient theory of phase transitions. Zbl 0986.49009DeSimone, Antonio; Müller, Stefan; Kohn, Robert V.; Otto, Felix 54 2001 Two-dimensional modelling of soft ferromagnetic films. Zbl 1065.74028DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix; Schäfer, Rudolf 16 2001 Singular perturbation and the energy of folds. Zbl 0973.49009Jin, W.; Kohn, R. V. 68 2000 Magnetic microstructures – a paradigm of multiscale problems. Zbl 0991.82038DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 26 2000 Geometrically nonlinear shape-memory polycrystals made from a two-variant material. Zbl 0978.74015Kohn, Robert V.; Niethammer, Barbara 1 2000 Domain branching in uniaxial ferromagnets: A scaling law for the minimum energy. Zbl 1023.82011Choksi, Rustum; Kohn, Robert V.; Otto, Felix 55 1999 Some model problems of polycrystal plasticity with deficient basic crystals. Zbl 0932.74012Kohn, Robert V.; Little, Thomas D. 20 1999 A geometric model for coarsening during spiral-mode growth of thin films. Zbl 0962.74522Schulze, T. P.; Kohn, Robert V. 19 1999 Partial regularity for optimal design problems involving both bulk and surface energies. Zbl 0946.49034Lin, F. H.; Kohn, Robert V. 13 1999 Some examples of nonlinear homogenization involving nearly degenerate energies. Zbl 0926.74099Bhattacharya, Kaushik; Kohn, Robert V.; Kozlov, S. 2 1999 Bounds on the micromagnetic energy of a uniaxial ferromagnet. Zbl 0909.49004Choksi, Rustum; Kohn, Robert V. 28 1998 Duality relations for non-Ohmic composites, with applications to behavior near percolation. Zbl 0946.82049Levy, Ohad; Kohn, Robert V. 6 1998 Elastic energy minimization and the recoverable strains of polycrystalline shape-memory materials. Zbl 0894.73225Bhattacharya, Kaushik; Kohn, Robert V. 32 1997 Topics in the mathematical modelling of composite materials. Zbl 0870.00018 20 1997 Introduction (to Topics in the mathematical modelling of composite materials). Zbl 0913.35012Cherkaev, Andrej V.; Kohn, Robert V. 16 1997 The crystalline algorithm for computing motion by curvature. Zbl 0869.65075Girão, 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 0877.73041Grabovsky, Yury; Kohn, Robert V. 36 1995 Microstructures minimizing the energy of a two-phase elastic composite in two space dimensions. I: The confocal ellipse construction. Zbl 0870.73041Grabovsky, Yury; Kohn, Robert V. 16 1995 Anisotropy of the Vigdergauz microstructure. Zbl 0844.73048Grabovsky, Yury; Kohn, Robert V. 3 1995 Surface energy and microstructure in coherent phase transitions. Zbl 0803.49007Kohn, Robert V.; Müller, Stefan 99 1994 Restrictions on microstructure. Zbl 0808.73063Bhattacharya, Kaushik; Firoozye, Nikan B.; James, Richard D.; Kohn, Robert V. 38 1994 Optimal lower bounds on the elastic energy of a composite made from two non-well-ordered isotropic materials. Zbl 0806.73038Allaire, 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 0791.65063Girão, Pedro Martins; Kohn, Robert V. 14 1994 Optimal design for minimum weight and compliance in plane stress using extremal microstructures. Zbl 0794.73044Allaire, G.; Kohn, Robert V. 68 1993 Optimal bounds on the effective behavior of a mixture of two well-ordered elastic materials. Zbl 0805.73043Allaire, Grégoire; Kohn, Robert V. 41 1993 Explicit optimal bounds on the elastic energy of a two-phase composite in two space dimensions. Zbl 0805.73042Allaire, Grégoire; Kohn, Robert V. 24 1993 Geometric parameters and the relaxation of multiwell energies. Zbl 0797.73051Firoozye, Nikan B.; Kohn, Robert V. 9 1993 Refined asymptotics for the blow-up of \(u_ t-{\Delta}u=u^ p\). Zbl 0784.35010Filippas, Stathis; Kohn, Robert V. 83 1992 Relaxation and regularization of nonconvex variational problems. Zbl 0819.49014Kohn, Robert V.; Müller, Stefan 7 1992 Numerical structural optimization via a relaxed formulation. Zbl 0767.73049Kohn, Robert V. 1 1992 The relaxation of a double-well energy. Zbl 0825.73029Kohn, Robert V. 134 1991 Motion by mean curvature as the singular limit of Ginzburg-Landau dynamics. Zbl 0735.35072Bronsard, Lia; Kohn, Robert V. 97 1991 The initial-value problem for measure-valued solutions of a canonical \(2 \times 2\) system with linearly degenerate fields. Zbl 0784.35059E, Weinan; Kohn, Robert V. 18 1991 On the slowness of phase boundary motion in one space dimension. Zbl 0761.35044Bronsard, Lia; Kohn, Robert V. 63 1990 Numerical implementation of a variational method for electrical impedance tomography. Zbl 0718.65089Kohn, Robert V.; McKenney, Alan 26 1990 The relationship between linear and nonlinear variational models of coherent phase transitions. Zbl 0692.73016Kohn, Robert V. 4 1990 Local minimisers and singular perturbations. Zbl 0676.49011Kohn, Robert V.; Sternberg, Peter 173 1989 Nondegeneracy of blow up for semilinear heat equations. Zbl 0703.35020Giga, Yoshikazu; Kohn, Robert V. 144 1989 Random media and composites. Proceedings of the SIAM workshop, Leesburg, Virginia (USA), December 7-10, 1988. Zbl 0707.00028 1 1989 Removability of blow-up points for semilinear heat equations. Zbl 0693.35015Giga, Yoshikazu; Kohn, Robert V. 1 1989 Variational bounds on the effective moduli of anisotropic composites. Zbl 0672.73012Milton, Graeme W.; Kohn, Robert V. 72 1988 A rescaling algorithm for the numerical calculation of blowing-up solutions. Zbl 0652.65070Berger, Marsha; Kohn, Robert V. 65 1988 A variational method for parameter identification. Zbl 0636.65127Kohn, Robert V.; Lowe, Bruce D. 29 1988 Optimal bounds for the effective energy of a mixture of isotropic, incompressible, elastic materials. Zbl 0662.73012Kohn, Robert V.; Lipton, Robert 18 1988 Optimal design of a two-way conductor. Zbl 0656.73047Strang, Gilbert; Kohn, Robert V. 2 1988 Characterizing blowup using similarity variables. Zbl 0601.35052Giga, Yoshikazu; Kohn, Robert V. 184 1987 Relaxation of a variational method for impedance computed tomography. Zbl 0659.49009Kohn, Robert V.; Vogelius, Michael 58 1987 The constrained least gradient problem. Zbl 0668.73060Kohn, Robert V.; Strang, Gilbert 2 1987 ...and 35 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,719 Authors 45 Conti, Sergio 43 Kohn, Robert Vita 33 Wei, Juncheng 31 Zaag, Hatem 29 Giga, Yoshikazu 28 Nguyen, Hoai-Minh 27 Uhlmann, Gunther Alberto 26 Kang, Dongsheng 24 Milton, Graeme Walter 22 Ignat, Radu 22 Seregin, Gregory A. 21 Otto, Felix 20 Chae, Dongho 20 Müller, Stefan 20 Wang, Yanqing 19 Liu, Hongyu 18 Dolbeault, Jean 18 Ortiz, Michael 18 Pedregal, Pablo 17 Del Pino, Manuel A. 17 Fonseca, Irene 16 Han, Pigong 16 Kang, Hyeonbae 15 Lipton, Robert P. 15 Maremonti, Paolo 15 Souplet, Philippe 15 Sternberg, Peter J. 14 Carstensen, Carsten 14 Guo, Boling 14 Guo, Jong-Shenq 14 Lassas, Matti J. 14 Li, Jichun 14 Mizoguchi, Noriko 14 Muratov, Cyrill B. 14 Rossi, Julio Daniel 14 Schonbek, Maria Elena 14 Slastikov, Valeriy V. 14 Šverák, Vladimír 14 Tsai, Tai-Peng 14 Wang, Changyou 14 Wang, Cheng 13 Abdellaoui, Boumediene 13 Allaire, Grégoire 13 Francfort, Gilles A. 13 Galaktionov, Victor Aleksandrovich 13 Grabovsky, Yury 13 Harutyunyan, Davit 13 Ren, Xiaofeng 13 Vogelius, Michael S. 13 Zhang, Kewei 13 Zheng, Sining 12 Barker, Tobias 12 Bronsard, Lia 12 Chen, Caisheng 12 Choe, Hi Jun 12 Folino, Raffaele 12 Kang, Kyungkeun 12 Kukavica, Igor 12 Liu, Qiao 12 Merle, Frank 12 Peral Alonso, Ireneo 12 Ponte Castañeda, Pedro 12 Velázquez, Juan J. L. 11 Bouchitté, Guy 11 Chen, Wenbin 11 Dolzmann, Georg 11 Esteban, Maria J. 11 Li, Hongjie 11 Liu, Jianguo 11 Liu, Qing 11 Ruzhansky, Michael V. 11 Wolf, Jörg 11 Wu, Gang 11 Zhao, Xiaopeng 11 Zwicknagl, Barbara Maria 10 Ammari, Habib M. 10 Andrei, Neculai 10 Bradshaw, Zachary 10 Casado-Díaz, Juan 10 Ciarlet, Philippe Gaston 10 Grujić, Zoran 10 Guo, Zongming 10 Hackl, Klaus 10 Herrero, Miguel Ángel 10 Hou, Thomas Yizhao 10 Hu, Bei 10 Lin, Fang Hua 10 Lu, Guozhen 10 Musina, Roberta 10 Nesi, Vincenzo 10 Olbermann, Heiner 10 Rădulescu, Vicenţiu D. 10 Vasseur, Alexis F. 10 Wang, Shu 10 Yang, Minsuk 9 Bhattacharya, Kaushik 9 De Lellis, Camillo 9 Fujishima, Yohei 9 Ghoussoub, Nassif A. 9 Guermond, Jean-Luc ...and 3,619 more Authors all top 5 Cited in 396 Serials 189 Journal of Differential Equations 182 Archive for Rational Mechanics and Analysis 160 Journal of Mathematical Analysis and Applications 132 Nonlinear Analysis. Theory, Methods & Applications. 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Mathematical, Physical and Engineering Sciences 15 Quarterly of Applied Mathematics 15 Boundary Value Problems 14 SIAM Journal on Numerical Analysis 14 Journal of Evolution Equations 13 Nonlinearity 13 Rocky Mountain Journal of Mathematics 13 Analysis & PDE 12 Journal of Fluid Mechanics 12 Journal of Statistical Physics 12 RAIRO. Modélisation Mathématique et Analyse Numérique 12 Japan Journal of Industrial and Applied Mathematics 12 Applications of Mathematics 12 Abstract and Applied Analysis 12 Acta Mathematica Sinica. English Series 12 Advanced Nonlinear Studies 12 Inverse Problems in Science and Engineering 11 International Journal of Engineering Science 11 Journal d’Analyse Mathématique 11 Journal of Dynamics and Differential Equations 11 Journal of the European Mathematical Society (JEMS) 11 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 11 Discrete and Continuous Dynamical Systems. Series B 11 Milan Journal of Mathematics 11 Multiscale Modeling & Simulation 11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 10 Mathematics of Computation 10 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 10 Manuscripta Mathematica 10 Bulletin of the American Mathematical Society. New Series 10 Journal of Inverse and Ill-Posed Problems 10 European Journal of Mechanics. A. Solids 10 Inverse Problems and Imaging 10 Advances in Nonlinear Analysis 9 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 9 Mediterranean Journal of Mathematics 9 Discrete and Continuous Dynamical Systems. Series S 8 Acta Mathematica 8 International Journal for Numerical Methods in Engineering 8 Probability Theory and Related Fields 8 Asymptotic Analysis 8 Complex Variables and Elliptic Equations ...and 296 more Serials all top 5 Cited in 57 Fields 2,637 Partial differential equations (35-XX) 838 Mechanics of deformable solids (74-XX) 697 Fluid mechanics (76-XX) 634 Calculus of variations and optimal control; optimization (49-XX) 367 Numerical analysis (65-XX) 214 Statistical mechanics, structure of matter (82-XX) 200 Optics, electromagnetic theory (78-XX) 150 Real functions (26-XX) 144 Functional analysis (46-XX) 116 Differential geometry (53-XX) 114 Global analysis, analysis on manifolds (58-XX) 100 Operator theory (47-XX) 81 Probability theory and stochastic processes (60-XX) 68 Classical thermodynamics, heat transfer (80-XX) 56 Biology and other natural sciences (92-XX) 52 Operations research, mathematical programming (90-XX) 51 Ordinary differential equations (34-XX) 44 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 31 Harmonic analysis on Euclidean spaces (42-XX) 31 Quantum theory (81-XX) 30 Measure and integration (28-XX) 30 Integral equations (45-XX) 29 Dynamical systems and ergodic theory (37-XX) 27 Computer science (68-XX) 27 Systems theory; control (93-XX) 26 Potential theory (31-XX) 22 Functions of a complex variable (30-XX) 22 Information and communication theory, circuits (94-XX) 19 Mechanics of particles and systems (70-XX) 16 Topological groups, Lie groups (22-XX) 16 Geophysics (86-XX) 13 Approximations and expansions (41-XX) 11 Abstract harmonic analysis (43-XX) 10 Convex and discrete geometry (52-XX) 10 Statistics (62-XX) 7 Difference and functional equations (39-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Several complex variables and analytic spaces (32-XX) 6 General topology (54-XX) 5 Special functions (33-XX) 5 Integral transforms, operational calculus (44-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-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 Group theory and generalizations (20-XX) 2 Sequences, series, summability (40-XX) 2 Mathematics education (97-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Geometry (51-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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