Edit Profile (opens in new tab) Kröger, Pawel Co-Author Distance Author ID: kroger.pawel Published as: Kröger, Pawel; Kröger, P. Homepage: https://sites.google.com/site/pawelkroeger Documents Indexed: 25 Publications since 1975, including 1 Book Co-Authors: 8 Co-Authors with 5 Joint Publications 190 Co-Co-Authors all top 5 Co-Authors 20 single-authored 2 Bañuelos, Rodrigo 1 Contreras, Carlos 1 Cvetic, Gorazd 1 Harrell, Evans M. II 1 Körgeler, Reinhart 1 Kurata, Kazuhiro 1 Orellana, Oscar F. 1 Sturm, Karl-Theodor all top 5 Serials 3 Mathematische Annalen 2 Journal of Functional Analysis 2 Potential Analysis 1 International Journal of Modern Physics A 1 Communications in Mathematical Physics 1 Arkiv för Matematik 1 Bulletin of the London Mathematical Society 1 Indiana University Mathematics Journal 1 Journal of Differential Geometry 1 Mathematika 1 Proceedings of the American Mathematical Society 1 Soochow Journal of Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Journal of Theoretical Probability 1 SIAM Journal on Mathematical Analysis 1 Wissenschaftliche Zeitschrift der Karl-Marx-Universität Leipzig, Mathematisch-Naturwissenschaftliche Reihe 1 Comptes Rendus de l’Académie des Sciences. Série I all top 5 Fields 13 Partial differential equations (35-XX) 9 Probability theory and stochastic processes (60-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Potential theory (31-XX) 3 Quantum theory (81-XX) 2 Differential geometry (53-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 16 Publications have been cited 160 times in 147 Documents Cited by ▼ Year ▼ On the placement of an obstacle or a well so as to optimize the fundamental eigenvalue. Zbl 0994.47015 Harrell, Evans M. II; Kröger, Pawel; Kurata, Kazuhiro 38 2001 On the spectral gap for compact manifolds. Zbl 0738.58048 Kröger, Pawel 35 1992 Upper bounds for the Neumann eigenvalues on a bounded domain in Euclidean space. Zbl 0777.35044 Kröger, P. 33 1992 Estimates for sums of eigenvalues of the Laplacian. Zbl 0817.35066 Kröger, Pawel 26 1994 Harmonic spaces associated with parabolic and elliptic differential operators. Zbl 0664.31011 Kröger, Pawel 7 1989 Gradient estimates for the ground state Schrödinger eigenfunction and applications. Zbl 1079.35077 Bañuelos, Rodrigo; Kröger, Pawel 5 2001 On the ground state eigenfunction of a convex domain in Euclidean space. Zbl 0842.35065 Kröger, Pawel 3 1996 On upper bounds for high order Neumann eigenvalues of convex domains in Euclidean space. Zbl 0911.35079 Kröger, Pawel 2 1999 Isoperimetric-type bounds for solutions of the heat equation. Zbl 0913.35052 Bañuelos, Rodrigo; Kröger, Pawel 2 1997 On the ranges of eigenfunctions on compact manifolds. Zbl 0932.58031 Kröger, Pawel 2 1998 Comparaison de diffusions. (Comparison of diffusion processes). Zbl 0638.60080 Kröger, Pawel 2 1987 Comparison theorems for diffusion processes. Zbl 0707.60065 Kröger, Pawel 2 1990 A counterexample for \(L^ 1\)-estimates for parabolic differential equations. Zbl 0779.35018 Kröger, P. 1 1992 Hölder continuity of normalized solutions of the Schrödinger equation. Zbl 0822.35033 Kröger, P.; Sturm, K.-Th. 1 1993 On explicit bounds for the spectral gap on compact manifolds. Zbl 0888.58067 Kröger, Pawel 1 1997 Derivationen in \(L^+(D)\). Zbl 0321.46036 Kröger, P. 1 1975 On the placement of an obstacle or a well so as to optimize the fundamental eigenvalue. Zbl 0994.47015 Harrell, Evans M. II; Kröger, Pawel; Kurata, Kazuhiro 38 2001 Gradient estimates for the ground state Schrödinger eigenfunction and applications. Zbl 1079.35077 Bañuelos, Rodrigo; Kröger, Pawel 5 2001 On upper bounds for high order Neumann eigenvalues of convex domains in Euclidean space. Zbl 0911.35079 Kröger, Pawel 2 1999 On the ranges of eigenfunctions on compact manifolds. Zbl 0932.58031 Kröger, Pawel 2 1998 Isoperimetric-type bounds for solutions of the heat equation. Zbl 0913.35052 Bañuelos, Rodrigo; Kröger, Pawel 2 1997 On explicit bounds for the spectral gap on compact manifolds. Zbl 0888.58067 Kröger, Pawel 1 1997 On the ground state eigenfunction of a convex domain in Euclidean space. Zbl 0842.35065 Kröger, Pawel 3 1996 Estimates for sums of eigenvalues of the Laplacian. Zbl 0817.35066 Kröger, Pawel 26 1994 Hölder continuity of normalized solutions of the Schrödinger equation. Zbl 0822.35033 Kröger, P.; Sturm, K.-Th. 1 1993 On the spectral gap for compact manifolds. Zbl 0738.58048 Kröger, Pawel 35 1992 Upper bounds for the Neumann eigenvalues on a bounded domain in Euclidean space. Zbl 0777.35044 Kröger, P. 33 1992 A counterexample for \(L^ 1\)-estimates for parabolic differential equations. Zbl 0779.35018 Kröger, P. 1 1992 Comparison theorems for diffusion processes. Zbl 0707.60065 Kröger, Pawel 2 1990 Harmonic spaces associated with parabolic and elliptic differential operators. Zbl 0664.31011 Kröger, Pawel 7 1989 Comparaison de diffusions. (Comparison of diffusion processes). Zbl 0638.60080 Kröger, Pawel 2 1987 Derivationen in \(L^+(D)\). Zbl 0321.46036 Kröger, P. 1 1975 all cited Publications top 5 cited Publications all top 5 Cited by 206 Authors 7 Chen, Hua 6 Colbois, Bruno 6 Wang, Kui 5 Provenzano, Luigi 4 Anoop, Thazhe Veetil 4 Chen, Hongge 4 Exner, Pavel 4 Hansen, Wolfhard 4 Kröger, Pawel 4 Li, Xiaolong 4 Wang, Peihe 3 Ashok Kumar, K. 3 Chorwadwala, Anisa M. H. 3 El Soufi, Ahmad 3 Harrell, Evans M. II 3 Laptev, Ari 3 Laugesen, Richard Snyder 3 Stubbe, Joachim 2 Andrews, Ben 2 Band, Ram 2 Bañuelos, Rodrigo 2 Bobkov, Vladimir E. 2 Buoso, Davide 2 Chen, Huyuan 2 Freitas, Pedro 2 Georgiev, Bogdan 2 Girouard, Alexandre 2 Hamel, François 2 Hermi, Lotfi 2 Jerison, David S. 2 Ketterer, Christian 2 Li, Jinning 2 Li, Liangpan 2 Loss, Michael 2 Lotoreichik, Vladimir 2 Mao, Jing 2 Méndez-Hernández, Pedro J. 2 Mukherjee, Mayukh 2 Netuka, Ivan 2 Polterovich, Iosif 2 Qian, Zhongmin M. 2 Ramos Olivé, Xavier 2 Roques, Lionel J. 2 Roy, Souvik 2 Seto, Shoo 2 Siudeja, Bartłomiej Andrzej 2 Stolz, Gunter 2 Sturm, Karl-Theodor 2 Valtorta, Daniele 2 Verzini, Gianmaria 2 Wang, Qiaoling 2 Ward, Michael J. 2 Wei, Guofang 2 Xia, Changyu 2 Zhang, Huichun 2 Zhang, Shaoheng 1 Aithal, A. R. 1 Anderson, Connor C. 1 Baker, Jeff 1 Bakry, Dominique 1 Barseghyan, Diana 1 Beck, Thomas L. 1 Benguria, Rafael D. 1 Berestycki, Henri 1 Bhakta, Mousomi 1 Biswas, Anup 1 Biswas, Nirjan 1 Bras, Pierre 1 Bucur, Dorin 1 Charalambous, Nelia 1 Chen, Mu-Fa 1 Cheng, Qingming 1 Cheviakov, Alexei F. 1 Choi, Sunhi 1 Chu, Chieping 1 Clutterbuck, Julie 1 Della Pietra, Francesco 1 Deng, Dawen 1 Di Blasio, Giuseppina 1 Dittmar, Bodo 1 Djitte, Sidy Moctar 1 Donnelly, Harold 1 Du, Feng 1 Egger, Sebastian K. 1 Emamizadeh, Behrouz 1 Fajman, David 1 Fall, Mouhamed Moustapha 1 Farjudian, Amin 1 Ferreri, Lorenzo 1 Filonov, Nikolay 1 Frank, Rupert L. 1 Ftouh, Ilias 1 Funano, Kei 1 Garcke, Harald 1 Gavitone, Nunzia 1 Geisinger, Leander 1 Ghosh, Mrityunjoy 1 Grieser, Daniel 1 Grigor’yan, Alexander Asaturovich 1 Hajaiej, Hichem ...and 106 more Authors all top 5 Cited in 76 Serials 8 The Journal of Geometric Analysis 8 Calculus of Variations and Partial Differential Equations 7 Mathematische Zeitschrift 5 Journal of Differential Equations 5 Journal of Functional Analysis 5 Proceedings of the American Mathematical Society 4 Journal of Mathematical Analysis and Applications 4 Journal of Mathematical Physics 4 Transactions of the American Mathematical Society 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Communications in Partial Differential Equations 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 SIAM Journal on Mathematical Analysis 2 Archive for Rational Mechanics and Analysis 2 Communications in Mathematical Physics 2 Journal d’Analyse Mathématique 2 Journal of Mathematical Biology 2 Advances in Mathematics 2 Mathematische Annalen 2 Acta Mathematica Hungarica 2 Annals of Global Analysis and Geometry 2 Journal of Complexity 2 Journal of the American Mathematical Society 2 Differential Geometry and its Applications 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Mathematical Physics, Analysis and Geometry 2 Annales Henri Poincaré 2 Analysis & PDE 2 Science China. Mathematics 2 Bulletin of Mathematical Sciences 1 Applicable Analysis 1 Journal of Statistical Physics 1 Mathematical Biosciences 1 Mathematical Methods in the Applied Sciences 1 Arkiv för Matematik 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Optimization 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Journal of Multivariate Analysis 1 Journal of Optimization Theory and Applications 1 Mathematische Nachrichten 1 Numerische Mathematik 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Zeitschrift für Analysis und ihre Anwendungen 1 Statistics & Probability Letters 1 Chinese Annals of Mathematics. Series B 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Probability Theory and Related Fields 1 Journal of Theoretical Probability 1 Mathematical and Computer Modelling 1 Journal of the Ramanujan Mathematical Society 1 Science in China. Series A 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Review 1 Stochastic Processes and their Applications 1 Potential Analysis 1 Advances in Differential Equations 1 Discrete and Continuous Dynamical Systems 1 Communications in Contemporary Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Frontiers of Mathematics in China 1 Operators and Matrices 1 Advances in Calculus of Variations 1 Involve 1 Journal of Spectral Theory 1 Analysis and Geometry in Metric Spaces 1 Advances in Nonlinear Analysis 1 Nonautonomous Dynamical Systems 1 PUMP Journal of Undergraduate Research all top 5 Cited in 29 Fields 111 Partial differential equations (35-XX) 45 Global analysis, analysis on manifolds (58-XX) 24 Differential geometry (53-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 15 Operator theory (47-XX) 14 Probability theory and stochastic processes (60-XX) 11 Quantum theory (81-XX) 7 Functions of a complex variable (30-XX) 7 Potential theory (31-XX) 7 Functional analysis (46-XX) 7 Numerical analysis (65-XX) 5 Biology and other natural sciences (92-XX) 4 Ordinary differential equations (34-XX) 3 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year