Edit Profile (opens in new tab) Adams, Robert Alexander Co-Author Distance Author ID: adams.robert-a Published as: Adams, R. A.; Adams, Robert A. External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 32 Publications since 1966, including 4 Books Co-Authors: 2 Co-Authors with 6 Joint Publications 46 Co-Co-Authors all top 5 Co-Authors 22 single-authored 5 Fournier, John J. F. 2 Aronszajn, Nachman 2 Roach, Gary Francis 1 Clarke, Francis H. 1 Hanna, Martin S. 1 Smith, Kennan T. all top 5 Serials 6 Canadian Mathematical Bulletin 4 Journal of Mathematical Analysis and Applications 3 Canadian Journal of Mathematics 2 Annales de l’Institut Fourier 2 Journal of Functional Analysis 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Pure and Applied Mathematics (Academic Press) 1 Archive for Rational Mechanics and Analysis 1 American Journal of Mathematics 1 Časopis Pro Pěstování Matematiky 1 Journal of Differential Equations 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Journal of Mathematics and Mechanics all top 5 Fields 15 Functional analysis (46-XX) 5 Real functions (26-XX) 2 General and overarching topics; collections (00-XX) 2 Potential theory (31-XX) 1 Measure and integration (28-XX) 1 Partial differential equations (35-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 9,094 times in 9,001 Documents Cited by ▼ Year ▼ Sobolev spaces. Zbl 0314.46030 Adams, Robert A. 4,343 1975 Sobolev spaces. 2nd ed. Zbl 1098.46001 Adams, Robert A.; Fournier, John J. F. 3,313 2003 Equivalent norms for Sobolev spaces. Zbl 0186.19101 Adams, Robert A. 976 1970 Real interpolation of Sobolev spaces on subdomains of \(R^N\). Zbl 0347.46040 Adams, R. A.; Fournier, J. J. F. 221 1978 Cone conditions and properties of Sobolev spaces. Zbl 0385.46024 Adams, R. A.; Fournier, John 54 1977 Theory of Bessel potentials. II. Zbl 0185.19703 Adams, Robert; Aronszajn, Nachman; Smith, K. T. 32 1967 On the Orlicz-Sobolev imbedding theorem. Zbl 0344.46077 Adams, R. A. 30 1977 General logarithmic Sobolev inequalities and Orlicz imbeddings. Zbl 0425.46020 Adams, R. A. 27 1979 Some integral inequalities with applications to the imbedding of Sobolev spaces defined over irregular domains. Zbl 0262.46036 Adams, R. A. 14 1973 Gross’ logarithmic Sobolev inequality: A simple proof. Zbl 0421.46029 Adams, R. A.; Clarke, Frank H. 14 1979 Some imbedding theorems for Sobolev spaces. Zbl 0201.16301 Adams, R. A.; Fournier, John 13 1971 Compact imbeddings of weighted Sobolev spaces on unbounded domains. Zbl 0209.15004 Adams, R. A. 13 1971 The uniform continuity of functions in Sobolev spaces. Zbl 0339.46027 Adams, R. A. 12 1976 Capacity and compact imbeddings. Zbl 0193.41402 Adams, R. A. 12 1970 Anisotropic Sobolev inequalities. Zbl 0663.46024 Adams, Robert A. 11 1988 The Rellich-Kondrachov theorem for unbounded domains. Zbl 0157.20401 Adams, Robert A. 11 1968 Compact Sobolev imbeddings for unbounded domains with discrete boundaries. Zbl 0209.15003 Adams, Robert A. 11 1968 Compact Sobolev imbeddings for unbounded domains. Zbl 0187.37704 Adams, Robert A. 6 1970 Theory of Bessel potentials. III: Potentials on regular manifolds. Zbl 0176.09902 Adams, Robert; Aronszajn, Nachman; Hanna, M. S. 6 1969 Reduced Sobolev inequalities. Zbl 0662.46036 Adams, R. A. 5 1988 Calculus: a complete course. 4th ed. Zbl 0943.26002 Adams, Robert A. 5 1999 Compact imbedding theorems for quasibounded domains. Zbl 0194.43801 Adams, Robert A. 3 1970 A compact imbedding theorem for functions without compact support. Zbl 0219.46031 Adams, R. A.; Fournier, J. 3 1971 Calculus: a complete course. Zbl 0744.26002 Adams, Robert A. 2 1991 Compact Sobolev imbeddings for pepper sets. Zbl 0176.43401 Adams, Robert A. 2 1969 An intrinsic approach to radiation conditions. Zbl 0241.35018 Roach, G. F.; Adams, R. A. 1 1972 \(-\Delta\) is positive definite on a ’spiny urchin’. Zbl 0176.45101 Adams, Robert A. 1 1969 Sobolev spaces. 2nd ed. Zbl 1098.46001 Adams, Robert A.; Fournier, John J. F. 3,313 2003 Calculus: a complete course. 4th ed. Zbl 0943.26002 Adams, Robert A. 5 1999 Calculus: a complete course. Zbl 0744.26002 Adams, Robert A. 2 1991 Anisotropic Sobolev inequalities. Zbl 0663.46024 Adams, Robert A. 11 1988 Reduced Sobolev inequalities. Zbl 0662.46036 Adams, R. A. 5 1988 General logarithmic Sobolev inequalities and Orlicz imbeddings. Zbl 0425.46020 Adams, R. A. 27 1979 Gross’ logarithmic Sobolev inequality: A simple proof. Zbl 0421.46029 Adams, R. A.; Clarke, Frank H. 14 1979 Real interpolation of Sobolev spaces on subdomains of \(R^N\). Zbl 0347.46040 Adams, R. A.; Fournier, J. J. F. 221 1978 Cone conditions and properties of Sobolev spaces. Zbl 0385.46024 Adams, R. A.; Fournier, John 54 1977 On the Orlicz-Sobolev imbedding theorem. Zbl 0344.46077 Adams, R. A. 30 1977 The uniform continuity of functions in Sobolev spaces. Zbl 0339.46027 Adams, R. A. 12 1976 Sobolev spaces. Zbl 0314.46030 Adams, Robert A. 4,343 1975 Some integral inequalities with applications to the imbedding of Sobolev spaces defined over irregular domains. Zbl 0262.46036 Adams, R. A. 14 1973 An intrinsic approach to radiation conditions. Zbl 0241.35018 Roach, G. F.; Adams, R. A. 1 1972 Some imbedding theorems for Sobolev spaces. Zbl 0201.16301 Adams, R. A.; Fournier, John 13 1971 Compact imbeddings of weighted Sobolev spaces on unbounded domains. Zbl 0209.15004 Adams, R. A. 13 1971 A compact imbedding theorem for functions without compact support. Zbl 0219.46031 Adams, R. A.; Fournier, J. 3 1971 Equivalent norms for Sobolev spaces. Zbl 0186.19101 Adams, Robert A. 976 1970 Capacity and compact imbeddings. Zbl 0193.41402 Adams, R. A. 12 1970 Compact Sobolev imbeddings for unbounded domains. Zbl 0187.37704 Adams, Robert A. 6 1970 Compact imbedding theorems for quasibounded domains. Zbl 0194.43801 Adams, Robert A. 3 1970 Theory of Bessel potentials. III: Potentials on regular manifolds. Zbl 0176.09902 Adams, Robert; Aronszajn, Nachman; Hanna, M. S. 6 1969 Compact Sobolev imbeddings for pepper sets. Zbl 0176.43401 Adams, Robert A. 2 1969 \(-\Delta\) is positive definite on a ’spiny urchin’. Zbl 0176.45101 Adams, Robert A. 1 1969 The Rellich-Kondrachov theorem for unbounded domains. Zbl 0157.20401 Adams, Robert A. 11 1968 Compact Sobolev imbeddings for unbounded domains with discrete boundaries. Zbl 0209.15003 Adams, Robert A. 11 1968 Theory of Bessel potentials. II. Zbl 0185.19703 Adams, Robert; Aronszajn, Nachman; Smith, K. T. 32 1967 all cited Publications top 5 cited Publications all top 5 Cited by 9,456 Authors 56 He, Yinnian 53 Luo, Zhendong 52 Wang, Hong 50 Zheng, Xiangcheng 39 Shang, Yueqiang 35 Brenner, Susanne Cecelia 35 Ciarlet, Philippe Gaston 34 Fuchs, Martin 32 Rădulescu, Vicenţiu D. 32 Sung, Li-Yeng 31 Girault, Vivette 31 Manzini, Gianmarco 30 Kweon, Jae Ryong 30 Yang, Huaijun 29 Yao, Fengping 28 Hintermüller, Michael 28 Li, Jian 28 Mardare, Cristinel 28 Xu, Fei 28 Yamamoto, Masahiro 27 Deka, Bhupen 27 Yang, Danping 26 Oden, John Tinsley 26 Saanouni, Tarek 25 Fan, Jishan 25 Shi, Dongyang 24 Benkirane, Abdelmoujib 24 Gatica, Gabriel N. 24 Gunzburger, Max Donald 24 Huang, Jianguo 23 Li, Hong 23 Ruas, Vitoriano 23 Wheeler, Mary Fanett 23 Zheng, Bo 22 Zhou, Aihui 21 Bildhauer, Michael 21 Byun, Sun-Sig 21 Cianchi, Andrea 21 Hou, Yanren 21 Li, Buyang 21 Piṣkin, Erhan 21 Zheng, Haibiao 19 Alves, Claudianor Oliveira 19 Ben Belgacem, Faker 18 Beirão da Veiga, Lourenço 18 Hild, Patrick 18 Kumar, Naresh 18 Ming, Pingbing 18 Xie, Hehu 18 Zhao, Caidi 17 Chen, Zhangxin 17 Melenk, Jens Markus 17 Novo, Julia 17 Pucci, Patrizia 17 Quarteroni, Alfio M. 17 Sun, Tongjun 17 Titi, Edriss Saleh 17 Weder, Ricardo A. 16 Ambrosio, Vincenzo 16 Amrouche, Chérif 16 Antonietti, Paola Francesca 16 Azroul, Elhoussine 16 Bernardi, Christine 16 Chentouf, Boumediène 16 Duan, Huoyuan 16 Feng, Xiaobing 16 Jin, Bangti 16 Liu, Yikan 16 Papageorgiou, Nikolaos S. 16 Teng, Fei 16 Wang, Junmin 16 Yan, Wenjing 15 Benes, Michal 15 Chaumont-Frelet, Théophile 15 Chen, Jinru 15 Guo, Ben-Yu 15 Huang, Pengzhan 15 Jiang, Yaolin 15 Mihăilescu, Mihai 15 Nicaise, Serge 15 Renard, Yves 15 Sinha, Rajen Kumar 15 Sweers, Guido H. 15 Taira, Kazuaki 15 Wendland, Wolfgang L. 15 Zhang, Jiansong 15 Zhao, Peihao 14 Abdellaoui, Boumediene 14 Afrouzi, Ghasem Alizadeh 14 Chen, Wenbin 14 Du, Qiang 14 Feehan, Paul M. N. 14 García-Archilla, Bosco 14 Huang, Qiumei 14 Jiang, Song 14 Liu, Weijiu 14 Manservisi, Sandro 14 Mingione, Giuseppe 14 Zhou, Shengfan 13 Bennouna, Jaouad ...and 9,356 more Authors all top 5 Cited in 641 Serials 511 Journal of Mathematical Analysis and Applications 307 Journal of Differential Equations 251 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 242 Computers & Mathematics with Applications 205 Journal of Computational and Applied Mathematics 188 Computer Methods in Applied Mechanics and Engineering 174 Applied Mathematics and Computation 154 Journal of Scientific Computing 150 Numerische Mathematik 148 Mathematical Methods in the Applied Sciences 147 Journal of Functional Analysis 135 Applied Numerical Mathematics 128 Nonlinear Analysis. Theory, Methods & Applications 127 Numerical Methods for Partial Differential Equations 113 Mathematics of Computation 101 Archive for Rational Mechanics and Analysis 96 SIAM Journal on Numerical Analysis 92 Annali di Matematica Pura ed Applicata. Serie Quarta 89 Calculus of Variations and Partial Differential Equations 87 Journal of Computational Physics 84 Transactions of the American Mathematical Society 84 SIAM Journal on Mathematical Analysis 80 Mathematische Nachrichten 79 Communications in Mathematical Physics 77 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 75 Nonlinear Analysis. Real World Applications 70 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 68 Boundary Value Problems 65 Applicable Analysis 62 Mathematische Annalen 60 ZAMP. Zeitschrift für angewandte Mathematik und Physik 56 Journal de Mathématiques Pures et Appliquées. Neuvième Série 56 Discrete and Continuous Dynamical Systems 54 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 53 Advances in Computational Mathematics 53 Journal of Mathematical Fluid Mechanics 51 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 49 SIAM Journal on Scientific Computing 48 Inverse Problems 48 Applied Mathematics Letters 47 Proceedings of the American Mathematical Society 46 Journal of Mathematical Physics 46 Applied Mathematics and Optimization 46 Journal of Approximation Theory 44 Potential Analysis 43 NoDEA. Nonlinear Differential Equations and Applications 39 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 39 Communications in Nonlinear Science and Numerical Simulation 38 Communications on Pure and Applied Analysis 37 Comptes Rendus. Mathématique. Académie des Sciences, Paris 36 Mathematische Zeitschrift 36 Numerical Algorithms 36 Discrete and Continuous Dynamical Systems. Series B 35 Automatica 35 Zeitschrift für Analysis und ihre Anwendungen 35 Acta Applicandae Mathematicae 34 Journal of Evolution Equations 33 The Journal of Geometric Analysis 32 RAIRO. Modélisation Mathématique et Analyse Numérique 32 Stochastic Processes and their Applications 32 Journal of Inequalities and Applications 31 SIAM Journal on Control and Optimization 31 Computational and Applied Mathematics 31 Mediterranean Journal of Mathematics 30 Acta Mathematica Sinica. English Series 30 Journal of Elliptic and Parabolic Equations 29 Manuscripta Mathematica 29 Physica D 29 Communications in Partial Differential Equations 28 Calcolo 28 Advances in Nonlinear Analysis 27 Nonlinearity 27 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 27 Advances in Mathematics 27 Mathematics and Computers in Simulation 27 Discrete and Continuous Dynamical Systems. Series S 26 Computational Methods in Applied Mathematics 25 Rocky Mountain Journal of Mathematics 25 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 25 Journal of Elasticity 24 Mathematical and Computer Modelling 24 Abstract and Applied Analysis 23 International Journal of Engineering Science 23 International Journal of Computer Mathematics 23 Journal of Nonlinear Science 23 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 22 Journal of Mathematical Imaging and Vision 22 Lobachevskii Journal of Mathematics 21 Journal of Optimization Theory and Applications 21 Electronic Journal of Differential Equations (EJDE) 21 Science China. Mathematics 20 Numerical Functional Analysis and Optimization 20 Journal of Complexity 20 Applications of Mathematics 20 Applied and Computational Harmonic Analysis 20 Journal of Inverse and Ill-Posed Problems 20 Fractional Calculus & Applied Analysis 20 Communications in Contemporary Mathematics 20 Analysis and Applications (Singapore) 19 Communications on Pure and Applied Mathematics ...and 541 more Serials all top 5 Cited in 57 Fields 5,536 Partial differential equations (35-XX) 2,723 Numerical analysis (65-XX) 1,671 Fluid mechanics (76-XX) 929 Calculus of variations and optimal control; optimization (49-XX) 922 Functional analysis (46-XX) 893 Mechanics of deformable solids (74-XX) 684 Operator theory (47-XX) 426 Probability theory and stochastic processes (60-XX) 298 Biology and other natural sciences (92-XX) 297 Systems theory; control (93-XX) 292 Real functions (26-XX) 290 Ordinary differential equations (34-XX) 283 Global analysis, analysis on manifolds (58-XX) 209 Optics, electromagnetic theory (78-XX) 204 Statistical mechanics, structure of matter (82-XX) 198 Approximations and expansions (41-XX) 194 Harmonic analysis on Euclidean spaces (42-XX) 185 Quantum theory (81-XX) 181 Statistics (62-XX) 174 Integral equations (45-XX) 173 Differential geometry (53-XX) 163 Dynamical systems and ergodic theory (37-XX) 138 Classical thermodynamics, heat transfer (80-XX) 124 Operations research, mathematical programming (90-XX) 122 Computer science (68-XX) 102 Potential theory (31-XX) 95 Geophysics (86-XX) 80 Information and communication theory, circuits (94-XX) 78 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 76 Functions of a complex variable (30-XX) 63 Mechanics of particles and systems (70-XX) 57 Measure and integration (28-XX) 53 Several complex variables and analytic spaces (32-XX) 47 Relativity and gravitational theory (83-XX) 34 Special functions (33-XX) 34 Manifolds and cell complexes (57-XX) 30 Integral transforms, operational calculus (44-XX) 22 Abstract harmonic analysis (43-XX) 18 General topology (54-XX) 17 Topological groups, Lie groups (22-XX) 17 Difference and functional equations (39-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 14 Algebraic topology (55-XX) 13 Astronomy and astrophysics (85-XX) 12 Combinatorics (05-XX) 8 Algebraic geometry (14-XX) 8 Convex and discrete geometry (52-XX) 6 Mathematical logic and foundations (03-XX) 5 History and biography (01-XX) 4 Category theory; homological algebra (18-XX) 3 Number theory (11-XX) 2 Sequences, series, summability (40-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Geometry (51-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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