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## Acker, Andrew F.

Compute Distance To:
 Author ID: acker.andrew-f Published as: Acker, Andrew; Acker, A.; Acker, Andrew F. External Links: MGP · Google Scholar
 Documents Indexed: 60 Publications since 1974
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#### Co-Authors

 48 single-authored 3 Lancaster, Kirk E. 2 Shahgholian, Henrik 2 Walter, Wolfgang 1 Henrot, Antoine 1 Kadakal, Ercan 1 Kawohl, Bernd 1 Lafon, J.-P. J. 1 Miller, Kenneth G. 1 Moffat, A. F. J. 1 Payne, Lawrence Edward 1 Philippin, Gérard A.
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#### Serials

 10 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Mathematical Methods in the Applied Sciences 5 Proceedings of the American Mathematical Society 4 Communications in Partial Differential Equations 4 SIAM Journal on Mathematical Analysis 4 Nonlinear Analysis. Theory, Methods & Applications 3 Pacific Journal of Mathematics 2 Communications on Pure and Applied Mathematics 2 Electronic Journal of Differential Equations (EJDE) 1 Archive for Rational Mechanics and Analysis 1 Astrophysics and Space Science 1 IMA Journal of Numerical Analysis 1 Journal of Computational and Applied Mathematics 1 Journal für die Reine und Angewandte Mathematik 1 Transactions of the American Mathematical Society 1 Dynamics of Continuous, Discrete and Impulsive Systems 1 Interfaces and Free Boundaries 1 SIAM Journal on Control
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#### Fields

 49 Partial differential equations (35-XX) 25 Fluid mechanics (76-XX) 13 Potential theory (31-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 4 Numerical analysis (65-XX) 3 Functions of a complex variable (30-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Mechanics of deformable solids (74-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

43 Publications have been cited 253 times in 150 Documents Cited by Year
Remarks on quenching. Zbl 0676.35021
Acker, Andrew F.; Kawohl, Bernhard
1989
On the convexity of level lines of the fundamental mode in the clamped membrane problem, and the existence of convex solutions in a related free boundary problem. Zbl 0508.73051
Acker, A.; Payne, L. E.; Philippin, G.
1981
Heat flow inequalities with applications to heat flow optimization problems. Zbl 0335.31003
Acker, Andrew
1977
On the global existence of solutions of parabolic differential equations with a singular nonlinear term. Zbl 0378.35003
Acker, Andrew; Walter, Wolfgang
1978
A free boundary problem for the $$p$$-Laplacian: uniqueness, convexity, and successive approximation of solutions. Zbl 0820.35037
Acker, A.; Meyer, R.
1995
Interior free boundary problems for the Laplace equation. Zbl 0397.76009
Acker, Andrew
1981
On the geometric form of Bernoulli configurations. Zbl 0648.35085
Acker, Andrew
1988
An extremal problem involving current flow through distributed resistance. Zbl 0456.49007
Acker, Andrew
1981
The quenching problem for nonlinear parabolic differential equations. Zbl 0338.35054
Acker, Andrew; Walter, Wolfgang
1976
On the non-convexity of solutions in free-boundary problems arising in plasma physics and fluid dynamics. Zbl 0711.76113
Acker, Andrew
1989
Uniqueness and monotonicity of solutions for the interior Bernoulli free boundary problem in the convex, $$n$$-dimensional case. Zbl 0714.35085
Acker, Andrew
1989
On the geometric form of free boundaries satisfying a Bernoulli condition. Zbl 0558.35081
Acker, A.
1984
A free boundary optimization problem. Zbl 0335.31002
Acker, Andrew
1978
On the convexity of equilibrium plasma configurations. Zbl 0452.35033
Acker, A.
1981
On the uniqueness, monotonicity, starlikeness, and convexity of solutions for a nonlinear boundary value problem in elliptic PDEs. Zbl 0804.35035
Acker, Andrew
1994
Free boundary optimization - a constructive iterative method. Zbl 0398.31002
Acker, Andrew
1979
How to approximate the solutions of certain free boundary problems for the Laplace equation by using the contraction principle. Zbl 0459.76009
Acker, Andrew
1981
On the convexity and on the successive approximation of solutions in a free-boundary problem with two fluid phases. Zbl 0713.35101
Acker, Andrew
1989
On the existence of convex classical solutions to a generalized Prandtl-Batchelor free boundary problem. Zbl 0903.35093
Acker, Andrew
1998
Convergence results for an analytical trial free-boundary method. Zbl 0642.76015
Acker, Andrew
1988
On the qualitative theory of parametrized families of free boundaries. Zbl 0668.35090
Acker, Andrew
1989
Convex free boundaries and the operator method. Zbl 0788.35148
Acker, Andrew
1993
An isoperimetric inequality involving conformal mapping. Zbl 0335.30012
Acker, Andrew
1977
Isoperimetric inequalities involving heat flow under linear radiation conditions. Zbl 0335.35022
Acker, Andrew
1977
Another free boundary optimization problem involving weighted areas. Zbl 0411.49007
Acker, Andrew
1978
On the existence of convex classical solutions to a generalized Prandtl-Batchelor free-boundary problem. II. Zbl 1014.35092
Acker, Andrew
2002
Absolute continuity of eigenvectors of time-varying operators. Zbl 0281.47011
Acker, Andrew F.
1974
On the geometric form of free boundaries satisfying a Bernoulli condition. II. Zbl 0616.35084
Acker, A.
1986
Addendum to: On the non-convexity of solutions in free-boundary problems arising in plasma physics and fluid dynamics. Zbl 0753.76198
Acker, Andrew
1991
On the multi-layer fluid problem: Regularity, uniqueness, convexity, and successive approximation of solutions. Zbl 0732.35109
Acker, Andrew
1991
On the existence of convex classical solutions to multilayer fluid problems in arbitrary space dimensions. Zbl 0791.76093
Acker, Andrew
1994
Some free boundary optimization problems and their solutions. Zbl 0422.49008
Acker, Andrew
1978
A free boundary optimization problem. II. Zbl 0442.31002
Acker, Andrew
1980
Concerning Daniljuk’s existence theorem for free boundary-value problems with the Bernoulli condition. Zbl 0446.76018
Acker, Andrew
1980
Qualitative properties of the boundary derivative of the capacity potential for special classes of annular domains. Zbl 0585.35018
Acker, A.
1985
Area-preserving domain perturbation operators which increase torsional rigidity or decrease capacity, with applications to free boundary problems. Zbl 0471.35080
Acker, Andrew
1981
The multi-layer free boundary problem for the $$p$$-Laplacian in convex domains. Zbl 1050.35148
Acker, Andrew; Henrot, Antoine; Poghosyan, Michael; Shahgholian, Henrik
2004
Theorems and counterexamples on the geometry of solutions to Bernoulli free boundary problems. Zbl 0841.35129
Acker, Andrew
1995
On the existence of convex classical solutions for multilayer free boundary problems with general nonlinear joining conditions. Zbl 0898.35115
Acker, Andrew
1998
A multi-layer fluid problem. Zbl 0789.76093
Acker, A.
1993
On 2-layer free-boundary problems with generalized joining conditions: Convexity and successive approximation of solutions. Zbl 0853.35132
Acker, A.
1994
A free boundary optimization problem involving weighted areas. Zbl 0358.31004
Acker, Andrew
1978
Examples involving the geometric form of level curves of harmonic functions. Zbl 0594.31008
Acker, A.
1985
The multi-layer free boundary problem for the $$p$$-Laplacian in convex domains. Zbl 1050.35148
Acker, Andrew; Henrot, Antoine; Poghosyan, Michael; Shahgholian, Henrik
2004
On the existence of convex classical solutions to a generalized Prandtl-Batchelor free-boundary problem. II. Zbl 1014.35092
Acker, Andrew
2002
On the existence of convex classical solutions to a generalized Prandtl-Batchelor free boundary problem. Zbl 0903.35093
Acker, Andrew
1998
On the existence of convex classical solutions for multilayer free boundary problems with general nonlinear joining conditions. Zbl 0898.35115
Acker, Andrew
1998
A free boundary problem for the $$p$$-Laplacian: uniqueness, convexity, and successive approximation of solutions. Zbl 0820.35037
Acker, A.; Meyer, R.
1995
Theorems and counterexamples on the geometry of solutions to Bernoulli free boundary problems. Zbl 0841.35129
Acker, Andrew
1995
On the uniqueness, monotonicity, starlikeness, and convexity of solutions for a nonlinear boundary value problem in elliptic PDEs. Zbl 0804.35035
Acker, Andrew
1994
On the existence of convex classical solutions to multilayer fluid problems in arbitrary space dimensions. Zbl 0791.76093
Acker, Andrew
1994
On 2-layer free-boundary problems with generalized joining conditions: Convexity and successive approximation of solutions. Zbl 0853.35132
Acker, A.
1994
Convex free boundaries and the operator method. Zbl 0788.35148
Acker, Andrew
1993
A multi-layer fluid problem. Zbl 0789.76093
Acker, A.
1993
Addendum to: On the non-convexity of solutions in free-boundary problems arising in plasma physics and fluid dynamics. Zbl 0753.76198
Acker, Andrew
1991
On the multi-layer fluid problem: Regularity, uniqueness, convexity, and successive approximation of solutions. Zbl 0732.35109
Acker, Andrew
1991
Remarks on quenching. Zbl 0676.35021
Acker, Andrew F.; Kawohl, Bernhard
1989
On the non-convexity of solutions in free-boundary problems arising in plasma physics and fluid dynamics. Zbl 0711.76113
Acker, Andrew
1989
Uniqueness and monotonicity of solutions for the interior Bernoulli free boundary problem in the convex, $$n$$-dimensional case. Zbl 0714.35085
Acker, Andrew
1989
On the convexity and on the successive approximation of solutions in a free-boundary problem with two fluid phases. Zbl 0713.35101
Acker, Andrew
1989
On the qualitative theory of parametrized families of free boundaries. Zbl 0668.35090
Acker, Andrew
1989
On the geometric form of Bernoulli configurations. Zbl 0648.35085
Acker, Andrew
1988
Convergence results for an analytical trial free-boundary method. Zbl 0642.76015
Acker, Andrew
1988
On the geometric form of free boundaries satisfying a Bernoulli condition. II. Zbl 0616.35084
Acker, A.
1986
Qualitative properties of the boundary derivative of the capacity potential for special classes of annular domains. Zbl 0585.35018
Acker, A.
1985
Examples involving the geometric form of level curves of harmonic functions. Zbl 0594.31008
Acker, A.
1985
On the geometric form of free boundaries satisfying a Bernoulli condition. Zbl 0558.35081
Acker, A.
1984
On the convexity of level lines of the fundamental mode in the clamped membrane problem, and the existence of convex solutions in a related free boundary problem. Zbl 0508.73051
Acker, A.; Payne, L. E.; Philippin, G.
1981
Interior free boundary problems for the Laplace equation. Zbl 0397.76009
Acker, Andrew
1981
An extremal problem involving current flow through distributed resistance. Zbl 0456.49007
Acker, Andrew
1981
On the convexity of equilibrium plasma configurations. Zbl 0452.35033
Acker, A.
1981
How to approximate the solutions of certain free boundary problems for the Laplace equation by using the contraction principle. Zbl 0459.76009
Acker, Andrew
1981
Area-preserving domain perturbation operators which increase torsional rigidity or decrease capacity, with applications to free boundary problems. Zbl 0471.35080
Acker, Andrew
1981
A free boundary optimization problem. II. Zbl 0442.31002
Acker, Andrew
1980
Concerning Daniljuk’s existence theorem for free boundary-value problems with the Bernoulli condition. Zbl 0446.76018
Acker, Andrew
1980
Free boundary optimization - a constructive iterative method. Zbl 0398.31002
Acker, Andrew
1979
On the global existence of solutions of parabolic differential equations with a singular nonlinear term. Zbl 0378.35003
Acker, Andrew; Walter, Wolfgang
1978
A free boundary optimization problem. Zbl 0335.31002
Acker, Andrew
1978
Another free boundary optimization problem involving weighted areas. Zbl 0411.49007
Acker, Andrew
1978
Some free boundary optimization problems and their solutions. Zbl 0422.49008
Acker, Andrew
1978
A free boundary optimization problem involving weighted areas. Zbl 0358.31004
Acker, Andrew
1978
Heat flow inequalities with applications to heat flow optimization problems. Zbl 0335.31003
Acker, Andrew
1977
An isoperimetric inequality involving conformal mapping. Zbl 0335.30012
Acker, Andrew
1977
Isoperimetric inequalities involving heat flow under linear radiation conditions. Zbl 0335.35022
Acker, Andrew
1977
The quenching problem for nonlinear parabolic differential equations. Zbl 0338.35054
Acker, Andrew; Walter, Wolfgang
1976
Absolute continuity of eigenvectors of time-varying operators. Zbl 0281.47011
Acker, Andrew F.
1974
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#### Cited by 182 Authors

 24 Acker, Andrew F. 9 Harbrecht, Helmut 5 Henrot, Antoine 5 Kawohl, Bernd 4 Eppler, Karsten 4 Shahgholian, Henrik 4 Sheng, Qin 3 Boulkhemair, Abdesslam 3 Greco, Antonio 3 Kress, Rainer 3 Nie, Yuanyuan 3 Philippin, Gérard A. 3 Shi, Shujun 3 Teixeira, Eduardo V. O. 3 Zhou, Mingjun 2 Bianchini, Chiara 2 Chakib, Abdelkrim 2 Dai, Qiuyi 2 Grossi, Massimo 2 Haslinger, Jaroslav 2 Kamont, Zdzisław 2 Kandoba, Igor’ Nikolaevich 2 Kwong, Man Kam 2 Ma, Xi-Nan 2 Mitrou, Giannoula 2 Nachaoui, Abdeljalil 2 Padgett, Joshua Lee 2 Papamichael, Nicolas 2 Payne, Lawrence Edward 2 Privat, Yannick 2 Salani, Paolo 2 Seck, Diaraf 2 Wolanski, Noemi I. 2 Zhang, Lei 2 Zheng, Gao-Feng 2 Zhou, Qian 1 Ackleh, Azmy S. 1 Akman, Murat 1 Argatov, Ivan I. 1 Azegami, Hideyuki 1 Banerjee, Agnid 1 Beauregard, Matthew A. 1 Bedingham, Daniel J. 1 Bera, Sayantani 1 Berrendero, Jose Ramon 1 Bobisud, Larry E. 1 Bouchala, Jiří 1 Bouchon, François 1 Brugger, Rahel 1 Caffarelli, Luis Ángel 1 Cecchini, Simone 1 Chang-Lara, Héctor A. 1 Chu, Moody T. 1 Croce, Roberto 1 Czernous, Wojciech 1 Dávila, Juan 1 De Regibus, Fabio 1 De Silva, Daniela 1 Diósi, Lajos 1 Donadi, Sandro 1 Doyen, G. 1 Drakova, D. 1 Dürr, Detlef 1 Dziuk, Gerhard 1 Fernández Bonder, Julián 1 Ferrari, Fausto 1 Fila, Marek 1 Friedman, Avner 1 Fung, David T. 1 Gaier, Dieter 1 Ge, Yongbin 1 Ghirardi, GianCarlo 1 Gladwell, Graham M. L. 1 Goldstein, Sheldon 1 Gonzalez de Paz, Raul B. 1 Gooding, Cisco 1 Gu, Yonggeng 1 Guillen, Nestor 1 Guo, Jong-Shenq 1 Guo, Wei 1 Haddar, Houssem 1 Hamel, François 1 Horgan, Cornelius Oliver 1 Huang, Bo-Chih 1 Hwang, Chii-Ruey 1 Ivanyshyn, Olha 1 Jung, Sungkyu 1 Justel, Ana 1 Kadakal, Ercan 1 Ke, Lan 1 Keady, Grant 1 Kerimov, A. K. 1 Khaliq, Abdul Q. M. 1 Kong, P. C. 1 Kozubek, Tomas 1 Kremnizer, Kobi 1 Kunisch, Karl 1 Lancaster, Kirk E. 1 Laurain, Antoine 1 Lederman, Claudia B. ...and 82 more Authors
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#### Cited in 64 Serials

 13 Mathematical Methods in the Applied Sciences 10 Nonlinear Analysis. Theory, Methods & Applications 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Applicable Analysis 6 Journal of Mathematical Analysis and Applications 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Communications in Partial Differential Equations 6 Foundations of Physics 5 Transactions of the American Mathematical Society 4 Applied Mathematics and Computation 3 Computers & Mathematics with Applications 3 Journal of Engineering Mathematics 3 Journal of Computational and Applied Mathematics 3 Journal of Differential Equations 3 Proceedings of the American Mathematical Society 3 Calculus of Variations and Partial Differential Equations 2 Archive for Rational Mechanics and Analysis 2 Bulletin of the Australian Mathematical Society 2 Journal of Applied Mathematics and Mechanics 2 Journal of Statistical Physics 2 Numerische Mathematik 2 Computational Optimization and Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Acta Mathematica Sinica. English Series 2 Journal of Dynamical and Control Systems 2 Computational Methods and Function Theory 2 Boundary Value Problems 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Computational Physics 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Computing 1 Duke Mathematical Journal 1 Journal of Functional Analysis 1 Journal of Multivariate Analysis 1 Journal of Optimization Theory and Applications 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Results in Mathematics 1 SIAM Journal on Control and Optimization 1 Applied Mathematics and Mechanics. (English Edition) 1 Applied Numerical Mathematics 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 The Journal of Geometric Analysis 1 Applications of Mathematics 1 Numerical Algorithms 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Computational Statistics and Data Analysis 1 Chinese Science Bulletin 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Mathematical Sciences (New York) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 Communications in Contemporary Mathematics 1 Lobachevskii Journal of Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Numerical Mathematics 1 São Paulo Journal of Mathematical Sciences 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Annales Fennici Mathematici
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#### Cited in 24 Fields

 118 Partial differential equations (35-XX) 30 Numerical analysis (65-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 19 Fluid mechanics (76-XX) 13 Potential theory (31-XX) 9 Functions of a complex variable (30-XX) 7 Mechanics of deformable solids (74-XX) 7 Quantum theory (81-XX) 6 Global analysis, analysis on manifolds (58-XX) 3 Differential geometry (53-XX) 3 Relativity and gravitational theory (83-XX) 2 General and overarching topics; collections (00-XX) 2 Ordinary differential equations (34-XX) 2 Integral equations (45-XX) 2 Convex and discrete geometry (52-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Operator theory (47-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX)