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## Bauman, Patricia E.

Compute Distance To:
 Author ID: bauman.patricia Published as: Bauman, Patricia; Bauman, P.; Baumann, Patricia; Baumann, P. Homepage: http://www.math.purdue.edu/~bauman/site
 Documents Indexed: 33 Publications since 1984
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#### Co-Authors

 5 single-authored 16 Phillips, Daniel R. 3 Owen, Nicholas C. 2 Park, Jinhae 1 André, Nelly 1 Calderer, Maria-Carme T. 1 Carlson, Neil N. 1 Chen, Chaonien 1 Hochbaum, Dorit S. 1 Jadallah, Hala T. 1 Ko, Yangsuk 1 Liu, Chun 1 Marini, Antonella 1 Nesi, Vincenzo 1 Oden, John Tinsley 1 Peng, Guanying 1 Phillips, Dan 1 Prudhomme, Serge 1 Rubiano, Andrea C. 1 Sternberg, Peter J. 1 Strub, O. 1 Wang, Changyou
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#### Serials

 4 Archive for Rational Mechanics and Analysis 2 Indiana University Mathematics Journal 2 Proceedings of the American Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 European Journal of Operational Research 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Mathematical Analysis 2 Discrete and Continuous Dynamical Systems. Series B 2 Discrete and Continuous Dynamical Systems. Series S 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Mathematical Physics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Arkiv för Matematik 1 Applied Mathematics and Optimization 1 Journal of Functional Analysis 1 Transactions of the American Mathematical Society 1 Physica D 1 European Journal of Applied Mathematics 1 Communications in Partial Differential Equations 1 Calculus of Variations and Partial Differential Equations
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#### Fields

 25 Partial differential equations (35-XX) 14 Statistical mechanics, structure of matter (82-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 Mechanics of deformable solids (74-XX) 4 Fluid mechanics (76-XX) 2 Potential theory (31-XX) 2 Operations research, mathematical programming (90-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

27 Publications have been cited 328 times in 276 Documents Cited by Year
Positive solutions of elliptic equations in nondivergence form and their adjoints. Zbl 0557.35033
Bauman, Patricia
1984
Stable nucleation for the Ginzburg-Landau system with an applied magnetic field. Zbl 0922.35157
Bauman, P.; Phillips, D.; Tang, Q.
1998
Analysis of nematic liquid crystals with disclination lines. Zbl 1281.76020
Bauman, Patricia; Park, Jinhae; Phillips, Daniel
2012
Maximum principles and a priori estimates for a class of problems from nonlinear elasticity. Zbl 0733.35015
Bauman, Patricia; Owen, Nicholas C.; Phillips, Daniel
1991
Univalent solutions of an elliptic system of partial differential equations arising in homogenization. Zbl 1330.35121
Bauman, Patricia; Marini, Antonella; Nesi, Vincenzo
2001
Maximal smoothness of solutions to certain Euler-Lagrange equations from nonlinear elasticity. Zbl 0744.49008
Bauman, Patricia; Phillips, Daniel; Owen, Nicholas C.
1991
A nonconvex variational problem related to change of phase. Zbl 0686.73018
Bauman, Patricia; Phillips, Daniel
1990
The phase transition between chiral nematic and smectic $$A^*$$ liquid crystals. Zbl 1032.76007
Bauman, Patricia; Calderer, M. Carme; Liu, Chun; Phillips, Daniel
2002
Vortex pinning with bounded fields for the Ginzburg-Landau equation. Zbl 1040.35108
Andre, Nelly; Bauman, Patricia; Phillips, Dan
2003
Vortex annihilation in nonlinear heat flow for Ginzburg-Landau systems. Zbl 0845.35042
Bauman, Patricia; Chen, Chao-Nien; Phillips, Daniel; Sternberg, Peter
1995
Univalent minimizers of polyconvex functionals in two dimensions. Zbl 0809.49039
Bauman, Patricia; Phillips, Daniel
1994
Maximum principles and a priori estimates for an incompressible material in nonlinear elasticity. Zbl 0777.35014
Bauman, Patricia; Owen, Nicholas C.; Phillips, Daniel
1992
A Wiener test for nondivergence structure, second-order elliptic equations. Zbl 0583.35034
Bauman, Patricia
1985
Equivalence of the Green’s functions for diffusion operators in $${\mathbb{R}}^ n:$$ A counterexample. Zbl 0574.35026
Bauman, Patricia
1984
On the zeros of solutions to Ginzburg-Landau type systems. Zbl 0783.35018
Bauman, Patricia; Carlson, Neil N.; Phillips, Daniel
1993
Analysis of solutions to the Lawrence-Doniach system for layered superconductors. Zbl 1141.82019
Bauman, Patricia; Ko, Yangsuk
2005
On the extension of goal-oriented error estimation and hierarchical modeling to discrete lattice models. Zbl 1098.82025
Oden, J. T.; Prudhomme, S.; Bauman, P.
2005
Regularity and the behavior of eigenvalues for minimizers of a constrained $$Q$$-tensor energy for liquid crystals. Zbl 1401.35068
Bauman, Patricia; Phillips, Daniel
2016
Optimal construction and rebalancing of index-tracking portfolios. Zbl 1380.91127
Strub, O.; Baumann, P.
2018
Analysis and stability of bent-core liquid crystal fibers. Zbl 1259.82119
Bauman, Patricia; Phillips, Daniel
2012
Classical solutions to the time-dependent Ginzburg-Landau equations for a bounded superconducting body in a vacuum. Zbl 1111.35071
Bauman, Patricia; Jadallah, Hala; Phillips, Daniel
2005
Large-time behavior of solutions to a scalar conservation law in several space dimensions. Zbl 0602.35074
Bauman, Patricia; Phillips, Daniel
1986
Singular limits in polymer-stabilized liquid crystals. Zbl 1216.82057
Bauman, P.; Phillips, D.; Shen, Q.
2003
Existence of solutions to boundary value problems for smectic liquid crystals. Zbl 1344.49016
Baumann, Patricia; Phillips, Daniel; Park, Jinhae
2015
A comparative study of the leading machine learning techniques and two new optimization algorithms. Zbl 1403.90560
Baumann, P.; Hochbaum, D. S.; Yang, Y. T.
2019
Large-time behavior of solutions to certain quasilinear parabolic equations in several space dimensions. Zbl 0611.35059
Bauman, Patricia; Phillips, Daniel
1986
Analysis of minimizers of the Lawrence-Doniach energy for superconductors in applied fields. Zbl 1427.35042
Bauman, Patricia; Peng, Guanying
2019
A comparative study of the leading machine learning techniques and two new optimization algorithms. Zbl 1403.90560
Baumann, P.; Hochbaum, D. S.; Yang, Y. T.
2019
Analysis of minimizers of the Lawrence-Doniach energy for superconductors in applied fields. Zbl 1427.35042
Bauman, Patricia; Peng, Guanying
2019
Optimal construction and rebalancing of index-tracking portfolios. Zbl 1380.91127
Strub, O.; Baumann, P.
2018
Regularity and the behavior of eigenvalues for minimizers of a constrained $$Q$$-tensor energy for liquid crystals. Zbl 1401.35068
Bauman, Patricia; Phillips, Daniel
2016
Existence of solutions to boundary value problems for smectic liquid crystals. Zbl 1344.49016
Baumann, Patricia; Phillips, Daniel; Park, Jinhae
2015
Analysis of nematic liquid crystals with disclination lines. Zbl 1281.76020
Bauman, Patricia; Park, Jinhae; Phillips, Daniel
2012
Analysis and stability of bent-core liquid crystal fibers. Zbl 1259.82119
Bauman, Patricia; Phillips, Daniel
2012
Analysis of solutions to the Lawrence-Doniach system for layered superconductors. Zbl 1141.82019
Bauman, Patricia; Ko, Yangsuk
2005
On the extension of goal-oriented error estimation and hierarchical modeling to discrete lattice models. Zbl 1098.82025
Oden, J. T.; Prudhomme, S.; Bauman, P.
2005
Classical solutions to the time-dependent Ginzburg-Landau equations for a bounded superconducting body in a vacuum. Zbl 1111.35071
Bauman, Patricia; Jadallah, Hala; Phillips, Daniel
2005
Vortex pinning with bounded fields for the Ginzburg-Landau equation. Zbl 1040.35108
Andre, Nelly; Bauman, Patricia; Phillips, Dan
2003
Singular limits in polymer-stabilized liquid crystals. Zbl 1216.82057
Bauman, P.; Phillips, D.; Shen, Q.
2003
The phase transition between chiral nematic and smectic $$A^*$$ liquid crystals. Zbl 1032.76007
Bauman, Patricia; Calderer, M. Carme; Liu, Chun; Phillips, Daniel
2002
Univalent solutions of an elliptic system of partial differential equations arising in homogenization. Zbl 1330.35121
Bauman, Patricia; Marini, Antonella; Nesi, Vincenzo
2001
Stable nucleation for the Ginzburg-Landau system with an applied magnetic field. Zbl 0922.35157
Bauman, P.; Phillips, D.; Tang, Q.
1998
Vortex annihilation in nonlinear heat flow for Ginzburg-Landau systems. Zbl 0845.35042
Bauman, Patricia; Chen, Chao-Nien; Phillips, Daniel; Sternberg, Peter
1995
Univalent minimizers of polyconvex functionals in two dimensions. Zbl 0809.49039
Bauman, Patricia; Phillips, Daniel
1994
On the zeros of solutions to Ginzburg-Landau type systems. Zbl 0783.35018
Bauman, Patricia; Carlson, Neil N.; Phillips, Daniel
1993
Maximum principles and a priori estimates for an incompressible material in nonlinear elasticity. Zbl 0777.35014
Bauman, Patricia; Owen, Nicholas C.; Phillips, Daniel
1992
Maximum principles and a priori estimates for a class of problems from nonlinear elasticity. Zbl 0733.35015
Bauman, Patricia; Owen, Nicholas C.; Phillips, Daniel
1991
Maximal smoothness of solutions to certain Euler-Lagrange equations from nonlinear elasticity. Zbl 0744.49008
Bauman, Patricia; Phillips, Daniel; Owen, Nicholas C.
1991
A nonconvex variational problem related to change of phase. Zbl 0686.73018
Bauman, Patricia; Phillips, Daniel
1990
Large-time behavior of solutions to a scalar conservation law in several space dimensions. Zbl 0602.35074
Bauman, Patricia; Phillips, Daniel
1986
Large-time behavior of solutions to certain quasilinear parabolic equations in several space dimensions. Zbl 0611.35059
Bauman, Patricia; Phillips, Daniel
1986
A Wiener test for nondivergence structure, second-order elliptic equations. Zbl 0583.35034
Bauman, Patricia
1985
Positive solutions of elliptic equations in nondivergence form and their adjoints. Zbl 0557.35033
Bauman, Patricia
1984
Equivalence of the Green’s functions for diffusion operators in $${\mathbb{R}}^ n:$$ A counterexample. Zbl 0574.35026
Bauman, Patricia
1984
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#### Cited by 297 Authors

 12 Helffer, Bernard 11 Alama, Stan 11 Pan, Xingbin 10 Bronsard, Lia 9 Golovaty, Dmitry 9 Iwaniec, Tadeusz 9 Onninen, Jani 8 Almog, Yaniv 8 Nesi, Vincenzo 6 Fournais, Søren 6 Leonetti, Francesco 6 Sternberg, Peter J. 6 Zarnescu, Arghir Dani 5 Briane, Marc 5 Escauriaza Zubiria, Luis 5 Phillips, Daniel R. 5 Sandier, Etienne 5 Slastikov, Valeriy V. 4 Alessandrini, Giovanni 4 Bevan, Jonathan J. 4 Bogachev, Vladimir Igorevich 4 Joo, Sookyung 4 Milton, Graeme Walter 4 Morame, Abderemane 4 Morita, Yoshihisa 4 Orlandi, Giandomenico 4 Raymond, Nicolas 4 Serfaty, Sylvia 4 Shahrokhi-Dehkordi, Mohammad Sadegh 4 Shaposhnikov, Stanislav V. 4 Véron, Laurent 3 Alberti, Giovanni S. 3 Bauman, Patricia E. 3 Berlyand, Leonid V. 3 Bethuel, Fabrice 3 Bonnaillie-Noël, Virginie 3 Gao, Hongya 3 García-Cervera, Carlos J. 3 Giorgi, Tiziana 3 Ignat, Radu 3 Kachmar, Ayman 3 Liu, Yuning 3 Mielke, Alexander 3 Montero, José Alberto 3 Nguyen, Luc 3 Novack, Michael R. 3 Taheri, Ali 3 Ting, Fan 3 Walker, Shawn W. 3 Wang, Wei 3 Wu, Jang-Mei 3 Zhai, Jian 2 Acerbi, Emilio 2 Adamowicz, Tomasz 2 Aftalion, Amandine 2 Alberico, Teresa 2 Aramaki, Junichi 2 Argiolas, Roberto 2 Armstrong, Scott N. 2 Berestycki, Henri 2 Bidaut-Veron, Marie-Françoise 2 Calderer, Maria-Carme T. 2 Carozza, Menita 2 Conti, Sergio 2 Crasta, Graziano 2 Cupini, Giovanni 2 Di Fratta, Giovanni 2 Ding, Shijin 2 Dong, Hongjie 2 Dos Santos, Mickaël 2 Du, Qiang 2 Fabes, Eugene B. 2 Fonseca, Irene 2 Fosdick, Roger L. 2 Fusco, Nicola 2 Geng, Zhiyuan 2 Grimaldi-Piro, Anna 2 Gustafson, Stephen J. 2 Hirano, Norimichi 2 Huang, Jinrui 2 Jimbo, Shuichi 2 Kenig, Carlos Eduardo 2 Kim, Seick 2 Koski, Aleksis 2 Kovalev, Leonid V. 2 Lamy, Xavier 2 Lin, Fang Hua 2 Lu, Kening 2 Malusa, Annalisa 2 Mascolo, Elvira 2 Miyamoto, Yasuhito 2 Mustapha, Sami 2 Nadirashvili, Nikolai S. 2 Nochetto, Ricardo Horacio 2 Peng, Guanying 2 Raymond, Jean-Pierre 2 Rivera-Noriega, Jorge 2 Robbins, Jonathan M. 2 Rybalko, Volodymyr 2 Rybicki, Sławomir Maciej ...and 197 more Authors
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#### Cited in 92 Serials

 32 Archive for Rational Mechanics and Analysis 15 Journal of Mathematical Physics 13 Calculus of Variations and Partial Differential Equations 12 Transactions of the American Mathematical Society 10 Journal of Functional Analysis 9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 8 Communications in Mathematical Physics 8 Communications in Partial Differential Equations 8 Journal of Nonlinear Science 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Duke Mathematical Journal 6 SIAM Journal on Mathematical Analysis 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Journal of the European Mathematical Society (JEMS) 4 Computer Methods in Applied Mechanics and Engineering 4 Journal of Mathematical Analysis and Applications 4 Journal of Differential Equations 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Discrete and Continuous Dynamical Systems. Series B 3 Mathematische Annalen 3 Proceedings of the American Mathematical Society 3 Physica D 3 Potential Analysis 3 Journal of Mathematical Sciences (New York) 3 Discrete and Continuous Dynamical Systems 3 Communications in Contemporary Mathematics 3 Nonlinear Analysis. Theory, Methods & Applications 2 Communications on Pure and Applied Mathematics 2 Arkiv för Matematik 2 Reviews in Mathematical Physics 2 Advances in Mathematics 2 Annales de l’Institut Fourier 2 Journal of Optimization Theory and Applications 2 Numerical Functional Analysis and Optimization 2 Quarterly of Applied Mathematics 2 Probability Theory and Related Fields 2 Forum Mathematicum 2 Japan Journal of Industrial and Applied Mathematics 2 Journal of Elasticity 2 SIAM Journal on Applied Mathematics 2 Doklady Mathematics 2 Abstract and Applied Analysis 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Acta Numerica 2 Discrete and Continuous Dynamical Systems. Series S 1 Applicable Analysis 1 International Journal of Engineering Science 1 Journal d’Analyse Mathématique 1 Journal of Computational Physics 1 Letters in Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 The Annals of Probability 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin of the London Mathematical Society 1 Collectanea Mathematica 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 SIAM Journal on Numerical Analysis 1 Tokyo Journal of Mathematics 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Revista Matemática Iberoamericana 1 Mathematical and Computer Modelling 1 The Journal of Geometric Analysis 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 St. Petersburg Mathematical Journal 1 NoDEA. Nonlinear Differential Equations and Applications 1 Electronic Communications in Probability 1 The Journal of Fourier Analysis and Applications 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Annales Henri Poincaré 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Structural and Multidisciplinary Optimization 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Journal of Function Spaces and Applications 1 International Journal of Geometric Methods in Modern Physics 1 Boundary Value Problems 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Communications in Mathematical Analysis 1 Journal of Fixed Point Theory and Applications 1 Mathematical Modelling of Natural Phenomena 1 Advances in Calculus of Variations 1 Differential Equations and Applications 1 Science China. Mathematics 1 Journal of Spectral Theory 1 Annals of PDE 1 Journal de l’École Polytechnique – Mathématiques 1 Journal of Elliptic and Parabolic Equations
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#### Cited in 29 Fields

 191 Partial differential equations (35-XX) 74 Statistical mechanics, structure of matter (82-XX) 60 Calculus of variations and optimal control; optimization (49-XX) 43 Mechanics of deformable solids (74-XX) 39 Fluid mechanics (76-XX) 25 Global analysis, analysis on manifolds (58-XX) 22 Potential theory (31-XX) 14 Quantum theory (81-XX) 12 Numerical analysis (65-XX) 11 Functions of a complex variable (30-XX) 9 Optics, electromagnetic theory (78-XX) 8 Probability theory and stochastic processes (60-XX) 7 Functional analysis (46-XX) 5 Operator theory (47-XX) 4 Ordinary differential equations (34-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Approximations and expansions (41-XX) 3 Operations research, mathematical programming (90-XX) 2 Real functions (26-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of particles and systems (70-XX) 1 Number theory (11-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)