## Ball, John MacLeod

Compute Distance To:
 Author ID: ball.john-m Published as: Ball, J. M.; Ball, John M.; Ball, John more...less Homepage: https://people.maths.ox.ac.uk/ball/index.htm External Links: MGP · Wikidata · Google Scholar · ResearchGate · GND · IdRef · theses.fr
 Documents Indexed: 91 Publications since 1973 8 Contributions as Editor · 3 Further Contributions Biographic References: 3 Publications Co-Authors: 37 Co-Authors with 44 Joint Publications 1,517 Co-Co-Authors
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### Co-Authors

 46 single-authored 9 James, Richard D. 4 Slemrod, Marshall 3 Marsden, Jerrold Eldon 3 Müller, Stefan 3 Murat, François 3 Peletier, Lambertus Adrianus 2 Mizel, Victor J. 2 Zarnescu, Arghir Dani 1 Andrews, Graham 1 Capdeboscq, Yves 1 Carr, Jack 1 Chen, Gui-Qiang G. 1 Crooks, Elaine C. M. 1 Currie, J. C. 1 Dacorogna, Bernard 1 Feireisl, Eduard 1 Fusco, Nicola 1 Holmes, Philip J. 1 Hunt, Julian C. R. 1 Jimack, Peter K. 1 Kinderlehrer, David 1 Kirchheim, Bernd 1 Knops, Robin J. 1 Kristensen, Jan 1 Majumdar, Apala 1 Marcellini, Paolo 1 Mora-Corral, Carlos 1 Nadirashvili, Nikolai S. 1 Olver, Peter John 1 Otto, Felix 1 Pego, Robert L. 1 Penrose, Oliver 1 Podio-Guidugli, Paulo 1 Rocca, Elisabetta 1 Sanz-Solé, Marta 1 Schaeffer, David G. 1 Schryvers, D. 1 Şengül, Yasemin 1 Šverák, Vladimír 1 Swart, Pieter J. 1 Taheri, Ali 1 Tang, Qi 1 Tsering-Xiao, Basang 1 Zhang, Kewei
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### Serials

 11 Archive for Rational Mechanics and Analysis 5 Calculus of Variations and Partial Differential Equations 4 Journal of Differential Equations 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Journal of Functional Analysis 3 Proceedings of the American Mathematical Society 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Journal of Nonlinear Science 2 Oberwolfach Reports 2 Lecture Notes in Mathematics 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Applied Mathematics and Optimization 1 Duke Mathematical Journal 1 Journal of the London Mathematical Society. Second Series 1 Numerische Mathematik 1 Pacific Journal of Mathematics 1 Philosophical Transactions of the Royal Society of London. Ser. A 1 Quarterly of Applied Mathematics 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 SIAM Journal on Control and Optimization 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Dynamics and Differential Equations 1 Philosophical Transactions of the Royal Society of London. Series A 1 Discrete and Continuous Dynamical Systems 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Communications on Pure and Applied Analysis 1 NATO ASI Series. Series C. Mathematical and Physical Sciences
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### Fields

 49 Mechanics of deformable solids (74-XX) 32 Partial differential equations (35-XX) 32 Calculus of variations and optimal control; optimization (49-XX) 13 Ordinary differential equations (34-XX) 10 General and overarching topics; collections (00-XX) 8 Fluid mechanics (76-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Operator theory (47-XX) 5 Real functions (26-XX) 5 Functional analysis (46-XX) 5 General topology (54-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 History and biography (01-XX) 4 Systems theory; control (93-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

85 Publications have been cited 5,123 times in 3,544 Documents Cited by Year
Convexity conditions and existence theorems in nonlinear elasticity. Zbl 0368.73040
Ball, John M.
1977
Fine phase mixtures as minimizers of energy. Zbl 0629.49020
Ball, J. M.; James, R. D.
1987
Remarks on blow-up and nonexistence theorems for nonlinear evolution equations. Zbl 0377.35037
Ball, J. M.
1977
Global attractors for damped semilinear wave equations. Zbl 1056.37084
Ball, J. M.
2004
Discontinuous equilibrium solutions and cavitation in nonlinear elasticity. Zbl 0513.73020
Ball, J. M.
1982
$$W^{1,p}$$-quasiconvexity and variational problems for multiple integrals. Zbl 0549.46019
Ball, J. M.; Murat, F.
1984
A version of the fundamental theorem for Young measures. Zbl 0991.49500
Ball, J. M.
1989
Proposed experimental tests of a theory of fine microstructure and the two-well problem. Zbl 0758.73009
Ball, J. M.; James, R. D.
1992
Continuity properties and global attractors of generalized semiflows and the Navier-Stokes equations. Zbl 0903.58020
Ball, J. M.
1997
Some open problems in elasticity. Zbl 1054.74008
Ball, John M.
2002
Initial-boundary value problems for an extensible beam. Zbl 0254.73042
Ball, J. M.
1973
Global invertibility of Sobolev functions and the interpenetration of matter. Zbl 0478.46032
Ball, J. M.
1981
Null Lagrangians, weak continuity, and variational problems of arbitrary order. Zbl 0459.35020
Ball, J. M.; Currie, J. C.; Olver, P. J.
1981
Strongly continuous semigroups, weak solutions, and the variation of constants formula. Zbl 0353.47017
Ball, J. M.
1977
Controllability for distributed bilinear systems. Zbl 0485.93015
Ball, J. M.; Marsden, J. E.; Slemrod, M.
1982
Stability theory for an extensible beam. Zbl 0247.73054
Ball, J. M.
1973
On the asymptotic behavior of generalized processes, with applications to nonlinear evolution equations. Zbl 0376.35002
Ball, J. M.
1978
The discrete coagulation-fragmentation equations: existence, uniqueness, and density conservation. Zbl 1217.82050
Ball, John M.; Carr, Jack
1990
Asymptotic behaviour and changes of phase in one-dimensional nonlinear viscoelasticity. Zbl 0501.35011
Andrews, G.; Ball, J. M.
1982
Orientability and energy minimization in liquid crystal models. Zbl 1263.76010
Ball, John M.; Zarnescu, Arghir
2011
One-dimensional variational problems whose minimizers do not satisfy the Euler-Lagrange equation. Zbl 0585.49002
Ball, J. M.; Mizel, V. J.
1985
The Becker-Döring cluster equations: Basic properties and asymptotic behaviour of solutions. Zbl 0594.58063
Ball, J. M.; Carr, J.; Penrose, O.
1986
Feedback stabilization of distributed semilinear control systems. Zbl 0405.93030
Ball, J. M.; Slemrod, M.
1979
Quasiconvexity at the boundary, positivity of the second variation and elastic stability. Zbl 0552.73006
Ball, J. M.; Marsden, J. E.
1984
Remarks on Chacon’s biting lemma. Zbl 0678.46023
Ball, J. M.; Murat, F.
1989
Regularity of quasiconvex envelopes. Zbl 0972.49024
Ball, John M.; Kirchheim, Bernd; Kristensen, Jan
2000
Constitutive inequalities and existence theorems in nonlinear elastostatics. Zbl 0377.73043
Ball, J. M.
1977
Differentiability properties of symmetric and isotropic functions. Zbl 0566.73001
Ball, J. M.
1984
On the dynamics of fine structure. Zbl 0791.35030
Ball, J. M.; Holmes, P. J.; James, R. D.; Pego, R. L.; Swart, P. J.
1991
Nonharmonic Fourier series and the stabilization of distributed semi- linear control systems. Zbl 0394.93041
Ball, J. M.; Slemrod, M.
1979
Bifurcation and stability of homogeneous equilibrium configurations of an elastic body under dead-load tractions. Zbl 0568.73057
Ball, J. M.; Schaeffer, D. G.
1983
Asymptotic behaviour of solutions to the Becker-Döring equations for arbitrary initial data. Zbl 0656.58021
Ball, J. M.; Carr, J.
1988
Strict convexity, strong ellipticity, and regularity in the calculus of variations. Zbl 0451.35028
Ball, J. M.
1980
Lower semicontinuity of multiple integrals and the Biting Lemma. Zbl 0716.49011
Ball, J. M.; Zhang, K.-W.
1990
Singular minimizers for regular one-dimensional problems in the calculus of variations. Zbl 0541.49010
Ball, John M.; Mizel, Victor J.
1984
Continuity properties and global attractors of generalized semiflows and the Navier-Stokes equations. Zbl 0958.35101
Ball, J. M.
2000
On uniqueness for time harmonic anisotropic Maxwell’s equations with piecewise regular coefficients. Zbl 1256.35153
Ball, John M.; Capdeboscq, Yves; Tsering-Xiao, Basang
2012
Singularities and computation of minimizers for variational problems. Zbl 0978.65053
Ball, J. M.
2001
A numerical method for detecting singular minimizers. Zbl 0636.65064
Ball, J. M.; Knowles, G.
1987
Sets of gradients with no rank-one connections. Zbl 0644.49011
Ball, John M.
1990
Minimizers and the Euler-Lagrange equations. Zbl 0547.73013
Ball, J. M.
1984
Finite time blow-up in nonlinear problems. Zbl 0472.35060
Ball, J. M.
1978
Liquid crystals and their defects. Zbl 1393.35157
Ball, John M.
2017
Local minimizers and planar interfaces in a phase-transition model with interfacial energy. Zbl 1431.49011
Ball, J. M.; Crooks, E. C. M.
2011
Remarks on the paper ”Basic calculus of variations”. Zbl 0553.49012
Ball, J. M.
1985
Universal singular sets for one-dimensional variational problems. Zbl 0896.49022
Ball, J. M.; Nadirashvili, N. S.
1993
Incompatible sets of gradients and metastability. Zbl 1343.49041
Ball, J. M.; James, R. D.
2015
Saddle point analysis for an ordinary differential equation in a Banach space, and an application to dynamic buckling of a beam. Zbl 0288.34057
Ball, J. M.
1973
A variational model allowing both smooth and sharp phase boundaries in solids. Zbl 1152.74316
Ball, John M.; Mora-Corral, Carlos
2009
Stabilization of concentration profiles in catalyst particles. Zbl 0314.35053
Ball, J. M.; Peletier, L. A.
1976
Weak continuity properties of mappings and semigroups. Zbl 0337.47028
Ball, J. M.
1975
Remarks on rank-one convexity and quasi convexity. Zbl 0751.49005
Ball, J. M.; Murat, F.
1991
Continuity properties of nonlinear semigroups. Zbl 0287.47045
Ball, J. M.
1974
On the calculus of variations and sequentially weakly continuous maps. Zbl 0348.49004
Ball, J. M.
1976
The calculus of variations and materials science. Zbl 0959.49001
Ball, J. M.
1998
Global attraction for the one-dimensional heat equation with nonlinear time-dependent boundary conditions. Zbl 0363.35014
Ball, J. M.; Peletier, L. A.
1977
Partial regularity and smooth topology-preserving approximations of rough domains. Zbl 1370.41030
Ball, John M.; Zarnescu, Arghir
2017
The scientific life and influence of Clifford Ambrose Truesdell III. Zbl 0988.01007
Ball, J. M.; James, R. D.
2002
Decay to zero in critical cases of second order ordinary differential equations of Duffing type. Zbl 0356.34041
Ball, J. M.; Carr, J.
1976
Quasiconvexity at the boundary and the nucleation of austenite. Zbl 1395.74074
Ball, J. M.; Koumatos, K.
2016
Lyapunov functions for thermomechanics with spatially varying boundary temperatures. Zbl 0624.73006
Ball, J. M.; Knowles, G.
1986
Singular minimizers and their significance in elasticity. Zbl 0657.73015
Ball, J. M.
1987
Local minimizers in micromagnetics and related problems. Zbl 1005.49002
Ball, J. M.; Taheri, A.; Winter, M.
2002
A characterization of plane strain. Zbl 0721.73004
Ball, J. M.; James, R. D.
1991
Two examples in nonlinear elasticity. Zbl 0386.73012
Ball, J. M.; Knops, R. J.; Marsden, J. E.
1978
Material instabilities and the calculus of variations. Zbl 0591.73021
Ball, J. M.
1984
An investigation of non-planar austenite-martensite interfaces. Zbl 1350.74020
Ball, J. M.; Koumatos, K.
2014
Fundamental contributions to the continuum theory of evolving phase interfaces in solids. A collection of reprints of 14 seminal papers, dedicated to Morton E. Gurtin on the occasion of his sixty-fifth birthday. Zbl 0968.74003
1999
Some recent developments in nonlinear elasticity and its applications to materials science. Zbl 0870.73010
Ball, J. M.
1996
Local minimizers and phase transformations. Zbl 0918.49019
Ball, J. M.; James, R. D.
1996
Material instability in continuum mechanics. Related mathematical problems. The Proceedings of a Symposium Year on Material Instabilities in Continuum Mechanics organized by the Department of Mathematics, Heriot-Watt University, Edinburgh, 1985-1986. Zbl 0627.00023
1988
Coagulation-fragmentation dynamics. Zbl 0661.34050
Ball, J. M.; Carr, J.
1987
Does rank-one convexity imply quasiconvexity? Zbl 0613.49014
Ball, J. M.
1987
Existence of solutions in finite elasticity. Zbl 0518.73031
Ball, J. M.
1982
Loss of the constraint in convex variational problems. Zbl 0688.49005
Ball, J. M.
1988
Young measures and minimization problems of mechanics. Zbl 0726.73015
Ball, J. M.; Knowles, G.
1990
Energy-minimizing configurations in nonlinear elasticity. Zbl 0567.73020
Ball, J. M.
1984
Entropy and convexity for nonlinear partial differential equations. Zbl 1292.35121
Ball, John M.; Chen, Gui-Qiang G.
2013
Weak convergence theorems for nonlinear partial differential equations of first and second order. Zbl 0499.35009
Ball, John M.; Evans, Lawrence C.
1982
The formation of macrotwins in NiAl martensite. Zbl 1053.74602
Ball, J. M.; Schryvers, D.
2002
Quasistatic nonlinear viscoelasticity and gradient flows. Zbl 1368.35039
Ball, J. M.; Şengül, Y.
2015
Dynamics and minimizing sequences. Zbl 0705.49023
Ball, J. M.
1990
Elastostatics in the presence of a temperature distribution or inhomogeneity. Zbl 0763.73006
Ball, J. M.; Jimack, P. K.; Qi, Tang
1992
Measurability and continuity conditions for nonlinear evolutionary processes. Zbl 0329.47026
Ball, John M.
1976
Stabilization of concentration profiles in catalyst particles. Zbl 0289.35051
Ball, J. M.; Peletier, L. A.
1975
Liquid crystals and their defects. Zbl 1393.35157
Ball, John M.
2017
Partial regularity and smooth topology-preserving approximations of rough domains. Zbl 1370.41030
Ball, John M.; Zarnescu, Arghir
2017
Quasiconvexity at the boundary and the nucleation of austenite. Zbl 1395.74074
Ball, J. M.; Koumatos, K.
2016
Incompatible sets of gradients and metastability. Zbl 1343.49041
Ball, J. M.; James, R. D.
2015
Quasistatic nonlinear viscoelasticity and gradient flows. Zbl 1368.35039
Ball, J. M.; Şengül, Y.
2015
An investigation of non-planar austenite-martensite interfaces. Zbl 1350.74020
Ball, J. M.; Koumatos, K.
2014
Entropy and convexity for nonlinear partial differential equations. Zbl 1292.35121
Ball, John M.; Chen, Gui-Qiang G.
2013
On uniqueness for time harmonic anisotropic Maxwell’s equations with piecewise regular coefficients. Zbl 1256.35153
Ball, John M.; Capdeboscq, Yves; Tsering-Xiao, Basang
2012
Orientability and energy minimization in liquid crystal models. Zbl 1263.76010
Ball, John M.; Zarnescu, Arghir
2011
Local minimizers and planar interfaces in a phase-transition model with interfacial energy. Zbl 1431.49011
Ball, J. M.; Crooks, E. C. M.
2011
A variational model allowing both smooth and sharp phase boundaries in solids. Zbl 1152.74316
Ball, John M.; Mora-Corral, Carlos
2009
Global attractors for damped semilinear wave equations. Zbl 1056.37084
Ball, J. M.
2004
Some open problems in elasticity. Zbl 1054.74008
Ball, John M.
2002
The scientific life and influence of Clifford Ambrose Truesdell III. Zbl 0988.01007
Ball, J. M.; James, R. D.
2002
Local minimizers in micromagnetics and related problems. Zbl 1005.49002
Ball, J. M.; Taheri, A.; Winter, M.
2002
The formation of macrotwins in NiAl martensite. Zbl 1053.74602
Ball, J. M.; Schryvers, D.
2002
Singularities and computation of minimizers for variational problems. Zbl 0978.65053
Ball, J. M.
2001
Regularity of quasiconvex envelopes. Zbl 0972.49024
Ball, John M.; Kirchheim, Bernd; Kristensen, Jan
2000
Continuity properties and global attractors of generalized semiflows and the Navier-Stokes equations. Zbl 0958.35101
Ball, J. M.
2000
Fundamental contributions to the continuum theory of evolving phase interfaces in solids. A collection of reprints of 14 seminal papers, dedicated to Morton E. Gurtin on the occasion of his sixty-fifth birthday. Zbl 0968.74003
1999
The calculus of variations and materials science. Zbl 0959.49001
Ball, J. M.
1998
Continuity properties and global attractors of generalized semiflows and the Navier-Stokes equations. Zbl 0903.58020
Ball, J. M.
1997
Some recent developments in nonlinear elasticity and its applications to materials science. Zbl 0870.73010
Ball, J. M.
1996
Local minimizers and phase transformations. Zbl 0918.49019
Ball, J. M.; James, R. D.
1996
Universal singular sets for one-dimensional variational problems. Zbl 0896.49022
Ball, J. M.; Nadirashvili, N. S.
1993
Proposed experimental tests of a theory of fine microstructure and the two-well problem. Zbl 0758.73009
Ball, J. M.; James, R. D.
1992
Elastostatics in the presence of a temperature distribution or inhomogeneity. Zbl 0763.73006
Ball, J. M.; Jimack, P. K.; Qi, Tang
1992
On the dynamics of fine structure. Zbl 0791.35030
Ball, J. M.; Holmes, P. J.; James, R. D.; Pego, R. L.; Swart, P. J.
1991
Remarks on rank-one convexity and quasi convexity. Zbl 0751.49005
Ball, J. M.; Murat, F.
1991
A characterization of plane strain. Zbl 0721.73004
Ball, J. M.; James, R. D.
1991
The discrete coagulation-fragmentation equations: existence, uniqueness, and density conservation. Zbl 1217.82050
Ball, John M.; Carr, Jack
1990
Lower semicontinuity of multiple integrals and the Biting Lemma. Zbl 0716.49011
Ball, J. M.; Zhang, K.-W.
1990
Sets of gradients with no rank-one connections. Zbl 0644.49011
Ball, John M.
1990
Young measures and minimization problems of mechanics. Zbl 0726.73015
Ball, J. M.; Knowles, G.
1990
Dynamics and minimizing sequences. Zbl 0705.49023
Ball, J. M.
1990
A version of the fundamental theorem for Young measures. Zbl 0991.49500
Ball, J. M.
1989
Remarks on Chacon’s biting lemma. Zbl 0678.46023
Ball, J. M.; Murat, F.
1989
Asymptotic behaviour of solutions to the Becker-Döring equations for arbitrary initial data. Zbl 0656.58021
Ball, J. M.; Carr, J.
1988
Material instability in continuum mechanics. Related mathematical problems. The Proceedings of a Symposium Year on Material Instabilities in Continuum Mechanics organized by the Department of Mathematics, Heriot-Watt University, Edinburgh, 1985-1986. Zbl 0627.00023
1988
Loss of the constraint in convex variational problems. Zbl 0688.49005
Ball, J. M.
1988
Fine phase mixtures as minimizers of energy. Zbl 0629.49020
Ball, J. M.; James, R. D.
1987
A numerical method for detecting singular minimizers. Zbl 0636.65064
Ball, J. M.; Knowles, G.
1987
Singular minimizers and their significance in elasticity. Zbl 0657.73015
Ball, J. M.
1987
Coagulation-fragmentation dynamics. Zbl 0661.34050
Ball, J. M.; Carr, J.
1987
Does rank-one convexity imply quasiconvexity? Zbl 0613.49014
Ball, J. M.
1987
The Becker-Döring cluster equations: Basic properties and asymptotic behaviour of solutions. Zbl 0594.58063
Ball, J. M.; Carr, J.; Penrose, O.
1986
Lyapunov functions for thermomechanics with spatially varying boundary temperatures. Zbl 0624.73006
Ball, J. M.; Knowles, G.
1986
One-dimensional variational problems whose minimizers do not satisfy the Euler-Lagrange equation. Zbl 0585.49002
Ball, J. M.; Mizel, V. J.
1985
Remarks on the paper ”Basic calculus of variations”. Zbl 0553.49012
Ball, J. M.
1985
$$W^{1,p}$$-quasiconvexity and variational problems for multiple integrals. Zbl 0549.46019
Ball, J. M.; Murat, F.
1984
Quasiconvexity at the boundary, positivity of the second variation and elastic stability. Zbl 0552.73006
Ball, J. M.; Marsden, J. E.
1984
Differentiability properties of symmetric and isotropic functions. Zbl 0566.73001
Ball, J. M.
1984
Singular minimizers for regular one-dimensional problems in the calculus of variations. Zbl 0541.49010
Ball, John M.; Mizel, Victor J.
1984
Minimizers and the Euler-Lagrange equations. Zbl 0547.73013
Ball, J. M.
1984
Material instabilities and the calculus of variations. Zbl 0591.73021
Ball, J. M.
1984
Energy-minimizing configurations in nonlinear elasticity. Zbl 0567.73020
Ball, J. M.
1984
Bifurcation and stability of homogeneous equilibrium configurations of an elastic body under dead-load tractions. Zbl 0568.73057
Ball, J. M.; Schaeffer, D. G.
1983
Discontinuous equilibrium solutions and cavitation in nonlinear elasticity. Zbl 0513.73020
Ball, J. M.
1982
Controllability for distributed bilinear systems. Zbl 0485.93015
Ball, J. M.; Marsden, J. E.; Slemrod, M.
1982
Asymptotic behaviour and changes of phase in one-dimensional nonlinear viscoelasticity. Zbl 0501.35011
Andrews, G.; Ball, J. M.
1982
Existence of solutions in finite elasticity. Zbl 0518.73031
Ball, J. M.
1982
Weak convergence theorems for nonlinear partial differential equations of first and second order. Zbl 0499.35009
Ball, John M.; Evans, Lawrence C.
1982
Global invertibility of Sobolev functions and the interpenetration of matter. Zbl 0478.46032
Ball, J. M.
1981
Null Lagrangians, weak continuity, and variational problems of arbitrary order. Zbl 0459.35020
Ball, J. M.; Currie, J. C.; Olver, P. J.
1981
Strict convexity, strong ellipticity, and regularity in the calculus of variations. Zbl 0451.35028
Ball, J. M.
1980
Feedback stabilization of distributed semilinear control systems. Zbl 0405.93030
Ball, J. M.; Slemrod, M.
1979
Nonharmonic Fourier series and the stabilization of distributed semi- linear control systems. Zbl 0394.93041
Ball, J. M.; Slemrod, M.
1979
On the asymptotic behavior of generalized processes, with applications to nonlinear evolution equations. Zbl 0376.35002
Ball, J. M.
1978
Finite time blow-up in nonlinear problems. Zbl 0472.35060
Ball, J. M.
1978
Two examples in nonlinear elasticity. Zbl 0386.73012
Ball, J. M.; Knops, R. J.; Marsden, J. E.
1978
Convexity conditions and existence theorems in nonlinear elasticity. Zbl 0368.73040
Ball, John M.
1977
Remarks on blow-up and nonexistence theorems for nonlinear evolution equations. Zbl 0377.35037
Ball, J. M.
1977
Strongly continuous semigroups, weak solutions, and the variation of constants formula. Zbl 0353.47017
Ball, J. M.
1977
Constitutive inequalities and existence theorems in nonlinear elastostatics. Zbl 0377.73043
Ball, J. M.
1977
Global attraction for the one-dimensional heat equation with nonlinear time-dependent boundary conditions. Zbl 0363.35014
Ball, J. M.; Peletier, L. A.
1977
Stabilization of concentration profiles in catalyst particles. Zbl 0314.35053
Ball, J. M.; Peletier, L. A.
1976
On the calculus of variations and sequentially weakly continuous maps. Zbl 0348.49004
Ball, J. M.
1976
Decay to zero in critical cases of second order ordinary differential equations of Duffing type. Zbl 0356.34041
Ball, J. M.; Carr, J.
1976
Measurability and continuity conditions for nonlinear evolutionary processes. Zbl 0329.47026
Ball, John M.
1976
Weak continuity properties of mappings and semigroups. Zbl 0337.47028
Ball, J. M.
1975
Stabilization of concentration profiles in catalyst particles. Zbl 0289.35051
Ball, J. M.; Peletier, L. A.
1975
Continuity properties of nonlinear semigroups. Zbl 0287.47045
Ball, J. M.
1974
Initial-boundary value problems for an extensible beam. Zbl 0254.73042
Ball, J. M.
1973
Stability theory for an extensible beam. Zbl 0247.73054
Ball, J. M.
1973
Saddle point analysis for an ordinary differential equation in a Banach space, and an application to dynamic buckling of a beam. Zbl 0288.34057
Ball, J. M.
1973
all top 5

### Cited by 3,244 Authors

 36 Ball, John MacLeod 33 Wang, Bixiang 32 Conti, Sergio 32 Müller, Stefan 32 Valero, José 29 Iwaniec, Tadeusz 28 Fonseca, Irene 28 Onninen, Jani 27 Kružík, Martin 27 Zhang, Kewei 25 Pedregal, Pablo 23 Kapustyan, Oleksiy V. 23 Kasyanov, Pavlo O. 23 Li, Zhiping 22 Dolzmann, Georg 21 Ciarlet, Philippe Gaston 21 Neff, Patrizio 21 Sivaloganathan, Jeyabal 21 Yang, Zhijian 20 Dacorogna, Bernard 20 Gil, Antonio J. 20 Spector, Scott J. 20 Sychev, Mikhail A. 19 Ouzahra, Mohamed 19 Roubíček, Tomáš 19 Slemrod, Marshall 19 Yan, Baisheng 18 Feireisl, Eduard 18 Marcellini, Paolo 18 Mora-Corral, Carlos 18 Zelik, Sergey V. 17 Ortigosa, Rogelio 17 Rădulescu, Vicenţiu D. 16 Chen, Gui-Qiang G. 16 Kristensen, Jan 16 Laurençot, Philippe 16 Šilhavý, Miroslav 16 Taheri, Ali 15 Antman, Stuart S. 15 Henao, Duvan A. 15 Hencl, Stanislav 15 Lasiecka, Irena 15 Mielke, Alexander 15 Ortiz, Michael 15 Zarnescu, Arghir Dani 14 Azroul, Elhoussine 14 Balaadich, Farah 14 James, Richard D. 14 Mardare, Cristinel 14 Miehe, Christian 14 Steigmann, David J. 13 Grabovsky, Yury 13 Hackl, Klaus 13 Lopez-Pamies, Oscar 13 Messaoudi, Salim A. 13 Schröder, Jörg 13 Stefanelli, Ulisse 13 Sun, Chunyou 13 Zaag, Hatem 12 Carstensen, Carsten 12 DeSimone, Antonio 12 Esquivel-Avila, Jorge Alfredo 12 Goriely, Alain 12 Kohn, Robert Vita 12 Leonetti, Francesco 12 Luskin, Mitchell 12 Zaslavski, Alexander Yakovlevich 12 Zerrik, El Hassan 12 Zhong, Chengkui 12 Zhou, Shengfan 11 Beauchard, Karine 11 Cheng, Changjun 11 Ding, Shusen 11 Gorban, Nataliia V. 11 Grasselli, Maurizio 11 Kalita, Piotr 11 Krömer, Stefan 11 Malý, Jan 11 Marsden, Jerrold Eldon 11 Rindler, Filip 11 Šverák, Vladimír 10 Bevan, Jonathan J. 10 Bonet, Javier 10 Boutoulout, Ali 10 Ericksen, Jerald Laverne 10 Guo, Bao-Zhu 10 Kafini, Mohammad Mustafa 10 Langa, Jose’ Antonio 10 Mariconda, Carlo 10 Mingione, Giuseppe 10 Payne, Lawrence Edward 10 Rumpf, Martin 10 Simsen, Jacson 10 Truskinovsky, Lev 10 Zhao, Caidi 9 Alouini, Brahim 9 Bhattacharya, Kaushik 9 Canevari, Giacomo 9 Caraballo Garrido, Tomás 9 Della Porta, Francesco ...and 3,144 more Authors
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### Cited in 412 Serials

 251 Archive for Rational Mechanics and Analysis 156 Journal of Mathematical Analysis and Applications 139 Journal of Differential Equations 125 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 120 Journal of Elasticity 95 Journal of the Mechanics and Physics of Solids 87 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 86 Computer Methods in Applied Mechanics and Engineering 86 Calculus of Variations and Partial Differential Equations 80 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 77 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 56 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 49 Mathematics and Mechanics of Solids 45 Journal of Functional Analysis 42 Applicable Analysis 42 ZAMP. Zeitschrift für angewandte Mathematik und Physik 41 Continuum Mechanics and Thermodynamics 41 Discrete and Continuous Dynamical Systems. Series B 39 Mathematical Methods in the Applied Sciences 39 Nonlinear Analysis. Theory, Methods & Applications 37 SIAM Journal on Mathematical Analysis 34 Comptes Rendus. Mathématique. Académie des Sciences, Paris 32 Transactions of the American Mathematical Society 32 Physica D 30 Journal de Mathématiques Pures et Appliquées. Neuvième Série 28 Journal of Nonlinear Science 27 Applied Mathematics Letters 26 Proceedings of the American Mathematical Society 25 Communications in Mathematical Physics 24 Journal of Mathematical Physics 24 Computational Mechanics 24 Nonlinear Analysis. Real World Applications 24 Communications on Pure and Applied Analysis 20 International Journal of Control 20 Communications in Partial Differential Equations 20 Discrete and Continuous Dynamical Systems. Series S 20 Advances in Calculus of Variations 19 Applied Mathematics and Optimization 19 NoDEA. Nonlinear Differential Equations and Applications 19 Discrete and Continuous Dynamical Systems 18 Nonlinearity 18 Systems & Control Letters 18 Zeitschrift für Analysis und ihre Anwendungen 16 International Journal of Engineering Science 16 Applied Mathematics and Computation 15 Computers & Mathematics with Applications 15 Quarterly of Applied Mathematics 15 Journal of Dynamics and Differential Equations 14 Communications on Pure and Applied Mathematics 13 Acta Mechanica 13 Journal of Statistical Physics 13 Rocky Mountain Journal of Mathematics 13 Journal of Computational and Applied Mathematics 12 Annali di Matematica Pura ed Applicata. Serie Quarta 12 Journal of Optimization Theory and Applications 12 Journal of Evolution Equations 11 International Journal for Numerical Methods in Engineering 11 Meccanica 11 Numerische Mathematik 11 SIAM Journal on Control and Optimization 11 Siberian Mathematical Journal 11 The Journal of Geometric Analysis 11 Abstract and Applied Analysis 11 Journal of Dynamical and Control Systems 11 Communications in Contemporary Mathematics 10 Journal of Computational Physics 10 Duke Mathematical Journal 10 Rendiconti del Circolo Matemàtico di Palermo. Serie II 10 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 10 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 10 Boundary Value Problems 10 Complex Variables and Elliptic Equations 9 Automatica 9 Applied Mathematics and Mechanics. (English Edition) 9 Chinese Annals of Mathematics. Series B 9 Acta Applicandae Mathematicae 9 Applied Numerical Mathematics 9 Acta Mathematicae Applicatae Sinica. English Series 9 Mathematical and Computer Modelling 9 European Journal of Mechanics. A. Solids 9 Journal of the European Mathematical Society (JEMS) 9 Analysis and Applications (Singapore) 9 Set-Valued and Variational Analysis 8 International Journal of Plasticity 8 Mathematics of Computation 8 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 8 Journal of Integral Equations and Applications 8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 8 Journal of Mathematical Sciences (New York) 8 Acta Mathematica Sinica. English Series 8 Evolution Equations and Control Theory 7 Journal of Engineering Mathematics 7 Manuscripta Mathematica 7 Mathematische Annalen 7 Advances in Applied Mathematics 7 RAIRO. Modélisation Mathématique et Analyse Numérique 7 Applications of Mathematics 7 SIAM Journal on Applied Mathematics 7 Opuscula Mathematica 7 European Journal of Control ...and 312 more Serials
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### Cited in 56 Fields

 1,712 Partial differential equations (35-XX) 1,328 Mechanics of deformable solids (74-XX) 752 Calculus of variations and optimal control; optimization (49-XX) 284 Fluid mechanics (76-XX) 258 Dynamical systems and ergodic theory (37-XX) 223 Statistical mechanics, structure of matter (82-XX) 200 Numerical analysis (65-XX) 199 Systems theory; control (93-XX) 192 Ordinary differential equations (34-XX) 155 Functional analysis (46-XX) 140 Real functions (26-XX) 140 Operator theory (47-XX) 118 Global analysis, analysis on manifolds (58-XX) 86 Probability theory and stochastic processes (60-XX) 81 Biology and other natural sciences (92-XX) 78 Functions of a complex variable (30-XX) 70 Integral equations (45-XX) 66 Classical thermodynamics, heat transfer (80-XX) 56 Differential geometry (53-XX) 39 Optics, electromagnetic theory (78-XX) 38 Quantum theory (81-XX) 36 Measure and integration (28-XX) 35 Mechanics of particles and systems (70-XX) 33 Potential theory (31-XX) 28 Operations research, mathematical programming (90-XX) 23 Harmonic analysis on Euclidean spaces (42-XX) 23 Computer science (68-XX) 22 General topology (54-XX) 16 Convex and discrete geometry (52-XX) 16 Manifolds and cell complexes (57-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 12 Approximations and expansions (41-XX) 12 Information and communication theory, circuits (94-XX) 10 Algebraic topology (55-XX) 9 Geophysics (86-XX) 7 General and overarching topics; collections (00-XX) 7 History and biography (01-XX) 5 Combinatorics (05-XX) 5 Topological groups, Lie groups (22-XX) 5 Statistics (62-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Algebraic geometry (14-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Special functions (33-XX) 3 Field theory and polynomials (12-XX) 3 Difference and functional equations (39-XX) 3 Integral transforms, operational calculus (44-XX) 3 Astronomy and astrophysics (85-XX) 2 Category theory; homological algebra (18-XX) 2 Group theory and generalizations (20-XX) 2 Relativity and gravitational theory (83-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX)

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