Edit Profile (opens in new tab) Wiegner, Michael Co-Author Distance Author ID: wiegner.michael Published as: Wiegner, Michael; Wiegner, M. External Links: MGP Documents Indexed: 32 Publications since 1975 1 Contribution as Editor Reviewing Activity: 128 Reviews Co-Authors: 12 Co-Authors with 11 Joint Publications 318 Co-Co-Authors all top 5 Co-Authors 22 single-authored 2 Schmitt, Burkhard J. 2 Schonbek, Maria Elena 2 von Wahl, Wolf 2 Zajączkowski, Wojciech M. 1 Abels, Helmut 1 Antman, Stuart S. 1 Fuchs, Martin 1 Mucha, Piotr Bogusław 1 Penel, Patrick 1 Rajopadhye, Shubha V. 1 Sohr, Hermann 1 Yip, Shui Cheung all top 5 Serials 4 Manuscripta Mathematica 3 Mathematische Zeitschrift 2 Mathematische Annalen 2 Differential and Integral Equations 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematical Methods in the Applied Sciences 1 Arkiv för Matematik 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Archiv der Mathematik 1 Journal of the London Mathematical Society. Second Series 1 Nachrichten der Akademie der Wissenschaften in Göttingen. II. Mathematisch-Physikalische Klasse 1 Acta Applicandae Mathematicae 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Dynamics and Differential Equations 1 Banach Center Publications 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Fields 33 Partial differential equations (35-XX) 8 Fluid mechanics (76-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of deformable solids (74-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Operator theory (47-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 677 times in 547 Documents Cited by ▼ Year ▼ Decay results for weak solutions of the Navier-Stokes equations on \({\mathbb{R}}\) n. Zbl 0652.35095 Wiegner, Michael 181 1987 On the decay of higher-order norms of the solutions of Navier-Stokes equations. Zbl 0862.35086 Schonbek, Maria E.; Wiegner, Michael 110 1996 A degenerate diffusion equation with a nonlinear source term. Zbl 0874.35061 Wiegner, Michael 49 1997 The Navier-Stokes equations – a neverending challenge? Zbl 0924.35100 Wiegner, M. 40 1999 On \(C_{\alpha}\)-regularity of the gradient of solutions of degenerate parabolic systems. Zbl 0642.35046 Wiegner, Michael 36 1986 Blow-up for solutions of some degenerate parabolic equations. Zbl 0797.35100 Wiegner, Michael 31 1994 Ein optimaler Regularitätssatz für schwache Lösungen gewisser elliptischer Systeme. Zbl 0316.35039 Wiegner, Michael 30 1976 A-priori Schranken für Lösungen gewisser elliptischer Systeme. Zbl 0323.35032 Wiegner, Michael 27 1976 The \(C^{1,1}\)-character of solutions of second order elliptic equations with gradient constraint. Zbl 0458.35035 Wiegner, Michael 22 1981 Resolvent estimates for the Stokes operator on an infinite layer. Zbl 1212.35343 Abels, Helmut; Wiegner, Michael 16 2005 Global solutions to a class of strongly coupled parabolic systems. Zbl 0801.35064 Wiegner, Michael 15 1992 A uniqueness theorem for some nonlinear boundary value problem with a large parameter. Zbl 0544.35046 Wiegner, Michael 14 1985 Zur Asymptotik der Gleichungen von Navier-Stokes. (Asymptotics of Navier- Stokes equations). Zbl 0629.35100 Sohr, Hermann; von Wahl, Wolf; Wiegner, Michael 13 1986 Decay and stability in \(L_ p\) for strong solutions of the Cauchyproblem for the Navier-Stokes equations. Zbl 0728.35084 Wiegner, Michael 11 1990 Über die Regularität schwacher Lösungen gewisser elliptischer Systeme. Zbl 0312.35035 Wiegner, Michael 10 1975 On the asymptotic behaviour of solutions of nonlinear parabolic equations. Zbl 0538.35043 Wiegner, Michael 9 1984 Decay estimates for strong solutions of the Navier-Stokes equations in exterior domains. Zbl 1006.35072 Wiegner, Michael 9 2000 Schauder estimates for boundary layer potentials. Zbl 0805.35016 Wiegner, Michael 8 1993 On two-dimensional elliptic systems with a one-sided condition. Zbl 0474.35046 Wiegner, Michael 7 1981 The motion of a particle on a light viscoelastic bar: asymptotic analysis of its quasilinear parabolic-hyperbolic equation. Zbl 1134.35397 Yip, Shui Cheung; Antman, Stuart S.; Wiegner, Michael 7 2002 On minima of variational problems with some nonconvex constraints. Zbl 0605.49005 Wiegner, Michael 6 1987 Decay of the \(L_ \infty\)-norm of solutions of Navier-Stokes equations in unbounded domains. Zbl 0816.35107 Wiegner, Michael 6 1994 The regularity of minima of variational problems with graph obstacles. Zbl 0644.49008 Fuchs, Martin; Wiegner, Michael 4 1989 Über die Hölderstetigkeit schwacher Lösungen semilinearer elliptischer Systeme mit einseitiger Bedingung. Zbl 0336.35044 von Wahl, Wolf; Wiegner, Michael 4 1976 On stability of axially symmetric solutions to Navier-Stokes equations in a cylindrical domain and with boundary slip conditions. Zbl 1101.35357 Wiegner, M.; Zajączkowski, W. M. 3 2005 Regularity theorems for nondiagonal elliptic systems. Zbl 0487.35041 Wiegner, Michael 3 1982 Higher order estimates in further dimensions for the solutions of Navier–Stokes equations. Zbl 1029.35198 Wiegner, Michael 3 2003 Asymptotic decay for a generalized Boussinesq system. Zbl 1157.35459 Rajopadhye, S. V.; Schonbek, M. E.; Wiegner, M. 1 1999 Remarks to the blow-up rate of a degenerate parabolic equation. Zbl 1009.35049 Schmitt, Burkhard J.; Wiegner, Michael 1 2001 Remarks to the blow-up profile of a degenerate parabolic equation. Zbl 0919.35072 Wiegner, Michael 1 1998 Resolvent estimates for the Stokes operator on an infinite layer. Zbl 1212.35343 Abels, Helmut; Wiegner, Michael 16 2005 On stability of axially symmetric solutions to Navier-Stokes equations in a cylindrical domain and with boundary slip conditions. Zbl 1101.35357 Wiegner, M.; Zajączkowski, W. M. 3 2005 Higher order estimates in further dimensions for the solutions of Navier–Stokes equations. Zbl 1029.35198 Wiegner, Michael 3 2003 The motion of a particle on a light viscoelastic bar: asymptotic analysis of its quasilinear parabolic-hyperbolic equation. Zbl 1134.35397 Yip, Shui Cheung; Antman, Stuart S.; Wiegner, Michael 7 2002 Remarks to the blow-up rate of a degenerate parabolic equation. Zbl 1009.35049 Schmitt, Burkhard J.; Wiegner, Michael 1 2001 Decay estimates for strong solutions of the Navier-Stokes equations in exterior domains. Zbl 1006.35072 Wiegner, Michael 9 2000 The Navier-Stokes equations – a neverending challenge? Zbl 0924.35100 Wiegner, M. 40 1999 Asymptotic decay for a generalized Boussinesq system. Zbl 1157.35459 Rajopadhye, S. V.; Schonbek, M. E.; Wiegner, M. 1 1999 Remarks to the blow-up profile of a degenerate parabolic equation. Zbl 0919.35072 Wiegner, Michael 1 1998 A degenerate diffusion equation with a nonlinear source term. Zbl 0874.35061 Wiegner, Michael 49 1997 On the decay of higher-order norms of the solutions of Navier-Stokes equations. Zbl 0862.35086 Schonbek, Maria E.; Wiegner, Michael 110 1996 Blow-up for solutions of some degenerate parabolic equations. Zbl 0797.35100 Wiegner, Michael 31 1994 Decay of the \(L_ \infty\)-norm of solutions of Navier-Stokes equations in unbounded domains. Zbl 0816.35107 Wiegner, Michael 6 1994 Schauder estimates for boundary layer potentials. Zbl 0805.35016 Wiegner, Michael 8 1993 Global solutions to a class of strongly coupled parabolic systems. Zbl 0801.35064 Wiegner, Michael 15 1992 Decay and stability in \(L_ p\) for strong solutions of the Cauchyproblem for the Navier-Stokes equations. Zbl 0728.35084 Wiegner, Michael 11 1990 The regularity of minima of variational problems with graph obstacles. Zbl 0644.49008 Fuchs, Martin; Wiegner, Michael 4 1989 Decay results for weak solutions of the Navier-Stokes equations on \({\mathbb{R}}\) n. Zbl 0652.35095 Wiegner, Michael 181 1987 On minima of variational problems with some nonconvex constraints. Zbl 0605.49005 Wiegner, Michael 6 1987 On \(C_{\alpha}\)-regularity of the gradient of solutions of degenerate parabolic systems. Zbl 0642.35046 Wiegner, Michael 36 1986 Zur Asymptotik der Gleichungen von Navier-Stokes. (Asymptotics of Navier- Stokes equations). Zbl 0629.35100 Sohr, Hermann; von Wahl, Wolf; Wiegner, Michael 13 1986 A uniqueness theorem for some nonlinear boundary value problem with a large parameter. Zbl 0544.35046 Wiegner, Michael 14 1985 On the asymptotic behaviour of solutions of nonlinear parabolic equations. Zbl 0538.35043 Wiegner, Michael 9 1984 Regularity theorems for nondiagonal elliptic systems. Zbl 0487.35041 Wiegner, Michael 3 1982 The \(C^{1,1}\)-character of solutions of second order elliptic equations with gradient constraint. Zbl 0458.35035 Wiegner, Michael 22 1981 On two-dimensional elliptic systems with a one-sided condition. Zbl 0474.35046 Wiegner, Michael 7 1981 Ein optimaler Regularitätssatz für schwache Lösungen gewisser elliptischer Systeme. Zbl 0316.35039 Wiegner, Michael 30 1976 A-priori Schranken für Lösungen gewisser elliptischer Systeme. Zbl 0323.35032 Wiegner, Michael 27 1976 Über die Hölderstetigkeit schwacher Lösungen semilinearer elliptischer Systeme mit einseitiger Bedingung. Zbl 0336.35044 von Wahl, Wolf; Wiegner, Michael 4 1976 Über die Regularität schwacher Lösungen gewisser elliptischer Systeme. Zbl 0312.35035 Wiegner, Michael 10 1975 all cited Publications top 5 cited Publications all top 5 Cited by 555 Authors 24 Winkler, Michael 18 Schonbek, Maria Elena 14 Wu, Jiahong 12 Wiegner, Michael 11 Dong, Boqing 10 Han, Pigong 10 Yao, Zhengan 10 Zingano, Paulo R. A. 9 Bae, Hyeong-Ohk 9 Hai, Dang Dinh 9 Kozono, Hideo 9 Niche, César J. 9 Perusato, Cilon F. 9 Zhang, Ping 8 Antman, Stuart S. 8 Arkhipova, Arina A. Arkhipova 8 Brandolese, Lorenzo 7 Li, Yin 7 Miyakawa, Tetsuro 7 Ogawa, Takayoshi 7 Skalák, Zdeněk 7 Wei, Ruiying 6 Guterres, Robert H. 6 Kim, Jaemyoung 6 Okabe, Takahiro 6 Shivaji, Ratnasingham 5 Borchers, Wolfgang 5 Chen, Zhimin 5 Choe, Hi Jun 5 Chu, Khanh Duc 5 Fuchs, Martin 5 Gao, Jincheng 5 Jia, Yan 5 Melo, Wilberclay G. 5 Mu, Chunlai 5 Planas, Gabriela 5 Xie, Chunhong 5 Zhao, Xiaopeng 4 Bögelein, Verena 4 Deng, Weibing 4 Duzaar, Frank 4 Frehse, Jens 4 Guo, Boling 4 He, Cheng 4 Hildebrandt, Stefan 4 Ji, Ruihong 4 Jin, Bumja 4 Karch, Grzegorz 4 Le, Dung 4 Li, Yuxiang 4 Lorenz, Jens 4 Nunes, Juliana R. 4 Roh, Jaiok 4 Safdari, Mohammad 4 Souplet, Philippe 4 Tan, Zhong 4 Xu, Xiaojing 4 Yin, Jingxue 4 Yu, Huan 4 Zhai, Chengbo 4 Zhang, Linghai 4 Zhang, Yinghui 4 Zheng, Jiashan 4 Zingano, Janaína P. 3 Abidi, Hammadi 3 Braz e Silva, Pablo 3 Chen, Shuhong 3 Dai, Feng 3 Farwig, Reinhard 3 Gao, Wenjie 3 Giga, Yoshikazu 3 Gui, Guilong 3 Ivert, Per-Anders 3 Lai, Suhua 3 Lankeit, Johannes 3 Li, Hongmin 3 Li, Yuhuan 3 Liao, Naian 3 Meier, Michael 3 Rozhkovskaya, T. N. 3 Schütz, Lineia 3 Shang, Haifeng 3 Sohr, Hermann 3 Sun, Yijing 3 Tsutsui, Yohei 3 Ulusoy, Suleyman 3 Wang, Mingxin 3 Weng, Shangkun 3 Widman, Kjell-Ove 3 Xiao, Yuelong 3 Xu, Li 3 Zajączkowski, Wojciech M. 3 Zhao, Caidi 3 Zhong, Yueyuan 3 Zhou, Shuangshuang 3 Zhou, Yong 2 Antontsev, Stanislav Nikolaevich 2 Attouchi, Amal 2 Beck, Lisa 2 Biswas, Animikh ...and 455 more Authors all top 5 Cited in 123 Serials 43 Journal of Differential Equations 40 Journal of Mathematical Analysis and Applications 32 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 19 Mathematical Methods in the Applied Sciences 17 Communications in Partial Differential Equations 16 Journal of Mathematical Fluid Mechanics 16 Nonlinear Analysis. Real World Applications 15 Manuscripta Mathematica 14 Journal of Functional Analysis 14 Calculus of Variations and Partial Differential Equations 13 ZAMP. Zeitschrift für angewandte Mathematik und Physik 12 Mathematische Zeitschrift 11 Archive for Rational Mechanics and Analysis 11 Journal of Mathematical Sciences (New York) 8 Advances in Mathematics 8 Applied Mathematics and Computation 8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 Applicable Analysis 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Discrete and Continuous Dynamical Systems 7 Nonlinear Analysis. Theory, Methods & Applications 6 Communications in Mathematical Physics 6 Journal of Mathematical Physics 6 Mathematische Annalen 6 Proceedings of the American Mathematical Society 6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Boundary Value Problems 5 Nonlinearity 5 Acta Mathematica 5 Acta Applicandae Mathematicae 5 SIAM Journal on Mathematical Analysis 5 Journal of Nonlinear Science 5 NoDEA. Nonlinear Differential Equations and Applications 5 Journal of Evolution Equations 4 Archiv der Mathematik 4 Journal of the London Mathematical Society. Second Series 4 Mathematische Nachrichten 4 Transactions of the American Mathematical Society 4 Acta Mathematicae Applicatae Sinica. English Series 4 Applied Mathematics Letters 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Journal of Dynamics and Differential Equations 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Communications on Pure and Applied Mathematics 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 2 Israel Journal of Mathematics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Czechoslovak Mathematical Journal 2 Glasgow Mathematical Journal 2 Indiana University Mathematics Journal 2 Inventiones Mathematicae 2 Memoirs of the American Mathematical Society 2 Quarterly of Applied Mathematics 2 Siberian Mathematical Journal 2 Physica D 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Abstract and Applied Analysis 2 Journal of Inequalities and Applications 2 Journal of the European Mathematical Society (JEMS) 2 Communications in Contemporary Mathematics 2 Communications on Pure and Applied Analysis 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Open Mathematics 1 Computers & Mathematics with Applications 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Arkiv för Matematik 1 Reviews in Mathematical Physics 1 Bulletin of the London Mathematical Society 1 Duke Mathematical Journal 1 Journal of Computational and Applied Mathematics 1 Journal of the Mathematical Society of Japan 1 Journal of Optimization Theory and Applications 1 Journal of Soviet Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 SIAM Journal on Control and Optimization 1 SIAM Journal on Numerical Analysis 1 Tôhoku Mathematical Journal. Second Series 1 Zeitschrift für Analysis und ihre Anwendungen 1 Bulletin of the Korean Mathematical Society 1 Applied Mathematics and Mechanics. (English Edition) 1 Chinese Annals of Mathematics. Series B 1 Stochastic Analysis and Applications 1 Probability Theory and Related Fields 1 Journal of the American Mathematical Society 1 Asymptotic Analysis 1 Science in China. Series A 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 St. Petersburg Mathematical Journal 1 Memoirs on Differential Equations and Mathematical Physics 1 Bulletin des Sciences Mathématiques 1 Vietnam Journal of Mathematics 1 Acta Mathematica Sinica. English Series 1 Physical Review Letters ...and 23 more Serials all top 5 Cited in 31 Fields 533 Partial differential equations (35-XX) 258 Fluid mechanics (76-XX) 28 Biology and other natural sciences (92-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 16 Operator theory (47-XX) 13 Mechanics of deformable solids (74-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Ordinary differential equations (34-XX) 9 Geophysics (86-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Real functions (26-XX) 6 Integral equations (45-XX) 6 Functional analysis (46-XX) 6 Numerical analysis (65-XX) 5 Probability theory and stochastic processes (60-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Potential theory (31-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Differential geometry (53-XX) 3 Optics, electromagnetic theory (78-XX) 3 Systems theory; control (93-XX) 2 Mathematical logic and foundations (03-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Computer science (68-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year