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 302 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 29 Publications have been cited 611 times in 497 Documents Cited by ▼ Year ▼ Decay results for weak solutions of the Navier-Stokes equations on \({\mathbb{R}}\) n. Zbl 0652.35095Wiegner, Michael 161 1987 On the decay of higher-order norms of the solutions of Navier-Stokes equations. Zbl 0862.35086Schonbek, Maria E.; Wiegner, Michael 92 1996 A degenerate diffusion equation with a nonlinear source term. Zbl 0874.35061Wiegner, Michael 47 1997 The Navier-Stokes equations – a neverending challenge? Zbl 0924.35100Wiegner, M. 37 1999 On \(C_{\alpha}\)-regularity of the gradient of solutions of degenerate parabolic systems. Zbl 0642.35046Wiegner, Michael 34 1986 Blow-up for solutions of some degenerate parabolic equations. Zbl 0797.35100Wiegner, Michael 31 1994 Ein optimaler Regularitätssatz für schwache Lösungen gewisser elliptischer Systeme. Zbl 0316.35039Wiegner, Michael 30 1976 A-priori Schranken für Lösungen gewisser elliptischer Systeme. Zbl 0323.35032Wiegner, Michael 26 1976 The \(C^{1,1}\)-character of solutions of second order elliptic equations with gradient constraint. Zbl 0458.35035Wiegner, Michael 21 1981 Global solutions to a class of strongly coupled parabolic systems. Zbl 0801.35064Wiegner, Michael 14 1992 A uniqueness theorem for some nonlinear boundary value problem with a large parameter. Zbl 0544.35046Wiegner, Michael 13 1985 Resolvent estimates for the Stokes operator on an infinite layer. Zbl 1212.35343Abels, Helmut; Wiegner, Michael 12 2005 Zur Asymptotik der Gleichungen von Navier-Stokes. (Asymptotics of Navier- Stokes equations). Zbl 0629.35100Sohr, Hermann; von Wahl, Wolf; Wiegner, Michael 12 1986 Über die Regularität schwacher Lösungen gewisser elliptischer Systeme. Zbl 0312.35035Wiegner, Michael 10 1975 Decay estimates for strong solutions of the Navier-Stokes equations in exterior domains. Zbl 1006.35072Wiegner, Michael 9 2000 On the asymptotic behaviour of solutions of nonlinear parabolic equations. Zbl 0538.35043Wiegner, Michael 9 1984 The motion of a particle on a light viscoelastic bar: asymptotic analysis of its quasilinear parabolic-hyperbolic equation. Zbl 1134.35397Yip, Shui Cheung; Antman, Stuart S.; Wiegner, Michael 7 2002 On two-dimensional elliptic systems with a one-sided condition. Zbl 0474.35046Wiegner, Michael 7 1981 Schauder estimates for boundary layer potentials. Zbl 0805.35016Wiegner, Michael 6 1993 Decay of the \(L_ \infty\)-norm of solutions of Navier-Stokes equations in unbounded domains. Zbl 0816.35107Wiegner, Michael 6 1994 On minima of variational problems with some nonconvex constraints. Zbl 0605.49005Wiegner, Michael 6 1987 Über die Hölderstetigkeit schwacher Lösungen semilinearer elliptischer Systeme mit einseitiger Bedingung. Zbl 0336.35044von Wahl, Wolf; Wiegner, Michael 4 1976 The regularity of minima of variational problems with graph obstacles. Zbl 0644.49008Fuchs, Martin; Wiegner, Michael 4 1989 Regularity theorems for nondiagonal elliptic systems. Zbl 0487.35041Wiegner, Michael 3 1982 Decay and stability in \(L_ p\) for strong solutions of the Cauchyproblem for the Navier-Stokes equations. Zbl 0728.35084Wiegner, Michael 3 1990 Higher order estimates in further dimensions for the solutions of Navier–Stokes equations. Zbl 1029.35198Wiegner, Michael 3 2003 On stability of axially symmetric solutions to Navier-Stokes equations in a cylindrical domain and with boundary slip conditions. Zbl 1101.35357Wiegner, M.; Zajączkowski, W. M. 2 2005 Remarks to the blow-up rate of a degenerate parabolic equation. Zbl 1009.35049Schmitt, Burkhard J.; Wiegner, Michael 1 2001 Asymptotic decay for a generalized Boussinesq system. Zbl 1157.35459Rajopadhye, S. V.; Schonbek, M. E.; Wiegner, M. 1 1999 Resolvent estimates for the Stokes operator on an infinite layer. Zbl 1212.35343Abels, Helmut; Wiegner, Michael 12 2005 On stability of axially symmetric solutions to Navier-Stokes equations in a cylindrical domain and with boundary slip conditions. Zbl 1101.35357Wiegner, M.; Zajączkowski, W. M. 2 2005 Higher order estimates in further dimensions for the solutions of Navier–Stokes equations. Zbl 1029.35198Wiegner, Michael 3 2003 The motion of a particle on a light viscoelastic bar: asymptotic analysis of its quasilinear parabolic-hyperbolic equation. Zbl 1134.35397Yip, Shui Cheung; Antman, Stuart S.; Wiegner, Michael 7 2002 Remarks to the blow-up rate of a degenerate parabolic equation. Zbl 1009.35049Schmitt, Burkhard J.; Wiegner, Michael 1 2001 Decay estimates for strong solutions of the Navier-Stokes equations in exterior domains. Zbl 1006.35072Wiegner, Michael 9 2000 The Navier-Stokes equations – a neverending challenge? Zbl 0924.35100Wiegner, M. 37 1999 Asymptotic decay for a generalized Boussinesq system. Zbl 1157.35459Rajopadhye, S. V.; Schonbek, M. E.; Wiegner, M. 1 1999 A degenerate diffusion equation with a nonlinear source term. Zbl 0874.35061Wiegner, Michael 47 1997 On the decay of higher-order norms of the solutions of Navier-Stokes equations. Zbl 0862.35086Schonbek, Maria E.; Wiegner, Michael 92 1996 Blow-up for solutions of some degenerate parabolic equations. Zbl 0797.35100Wiegner, Michael 31 1994 Decay of the \(L_ \infty\)-norm of solutions of Navier-Stokes equations in unbounded domains. Zbl 0816.35107Wiegner, Michael 6 1994 Schauder estimates for boundary layer potentials. Zbl 0805.35016Wiegner, Michael 6 1993 Global solutions to a class of strongly coupled parabolic systems. Zbl 0801.35064Wiegner, Michael 14 1992 Decay and stability in \(L_ p\) for strong solutions of the Cauchyproblem for the Navier-Stokes equations. Zbl 0728.35084Wiegner, Michael 3 1990 The regularity of minima of variational problems with graph obstacles. Zbl 0644.49008Fuchs, Martin; Wiegner, Michael 4 1989 Decay results for weak solutions of the Navier-Stokes equations on \({\mathbb{R}}\) n. Zbl 0652.35095Wiegner, Michael 161 1987 On minima of variational problems with some nonconvex constraints. Zbl 0605.49005Wiegner, Michael 6 1987 On \(C_{\alpha}\)-regularity of the gradient of solutions of degenerate parabolic systems. Zbl 0642.35046Wiegner, Michael 34 1986 Zur Asymptotik der Gleichungen von Navier-Stokes. (Asymptotics of Navier- Stokes equations). Zbl 0629.35100Sohr, Hermann; von Wahl, Wolf; Wiegner, Michael 12 1986 A uniqueness theorem for some nonlinear boundary value problem with a large parameter. Zbl 0544.35046Wiegner, Michael 13 1985 On the asymptotic behaviour of solutions of nonlinear parabolic equations. Zbl 0538.35043Wiegner, Michael 9 1984 Regularity theorems for nondiagonal elliptic systems. Zbl 0487.35041Wiegner, Michael 3 1982 The \(C^{1,1}\)-character of solutions of second order elliptic equations with gradient constraint. Zbl 0458.35035Wiegner, Michael 21 1981 On two-dimensional elliptic systems with a one-sided condition. Zbl 0474.35046Wiegner, Michael 7 1981 Ein optimaler Regularitätssatz für schwache Lösungen gewisser elliptischer Systeme. Zbl 0316.35039Wiegner, Michael 30 1976 A-priori Schranken für Lösungen gewisser elliptischer Systeme. Zbl 0323.35032Wiegner, Michael 26 1976 Über die Hölderstetigkeit schwacher Lösungen semilinearer elliptischer Systeme mit einseitiger Bedingung. Zbl 0336.35044von Wahl, Wolf; Wiegner, Michael 4 1976 Über die Regularität schwacher Lösungen gewisser elliptischer Systeme. Zbl 0312.35035Wiegner, Michael 10 1975 all cited Publications top 5 cited Publications all top 5 Cited by 506 Authors 20 Winkler, Michael 18 Schonbek, Maria Elena 12 Wiegner, Michael 11 Wu, Jiahong 10 Dong, Boqing 10 Yao, Zhengan 9 Bae, Hyeong-Ohk 9 Hai, Dang Dinh 9 Kozono, Hideo 8 Antman, Stuart S. 8 Han, Pigong 8 Niche, César J. 8 Zhang, Ping 8 Zingano, Paulo R. A. 7 Arkhipova, Arina A. Arkhipova 7 Li, Yin 7 Miyakawa, Tetsuro 7 Ogawa, Takayoshi 7 Perusato, Cilon F. 7 Skalák, Zdeněk 7 Wei, Ruiying 6 Shivaji, Ratnasingham 5 Borchers, Wolfgang 5 Brandolese, Lorenzo 5 Chen, Zhimin 5 Chu, Khanh Duc 5 Fuchs, Martin 5 Guterres, Robert H. 5 Melo, Wilberclay G. 5 Mu, Chunlai 5 Okabe, Takahiro 5 Xie, Chunhong 5 Zhao, Xiaopeng 4 Bögelein, Verena 4 Choe, Hi Jun 4 Deng, Weibing 4 Duzaar, Frank 4 Frehse, Jens 4 Gao, Jincheng 4 Guo, Boling 4 He, Cheng 4 Hildebrandt, Stefan 4 Karch, Grzegorz 4 Kim, Jaemyoung 4 Le, Dung 4 Li, Yuxiang 4 Lorenz, Jens 4 Nunes, Juliana R. 4 Planas, Gabriela 4 Roh, Jaiok 4 Safdari, Mohammad 4 Souplet, Philippe 4 Tan, Zhong 4 Xu, Xiaojing 4 Yin, Jingxue 4 Zhai, Chengbo 4 Zhang, Linghai 4 Zheng, Jiashan 4 Zingano, Janaína P. 3 Abidi, Hammadi 3 Chen, Shuhong 3 Farwig, Reinhard 3 Gao, Wenjie 3 Giga, Yoshikazu 3 Gui, Guilong 3 Ivert, Per-Anders 3 Ji, Ruihong 3 Jia, Yan 3 Jin, Bumja 3 Lai, Suhua 3 Lankeit, Johannes 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 Yu, Huan 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 2 Black, Tobias 2 Braz e Silva, Pablo 2 Breit, Dominic 2 Cao, Xinru 2 Chemin, Jean-Yves 2 Chen, Yujuan 2 da Silva, João Vítor ...and 406 more Authors all top 5 Cited in 119 Serials 41 Journal of Differential Equations 38 Journal of Mathematical Analysis and Applications 31 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 17 Communications in Partial Differential Equations 14 Manuscripta Mathematica 14 Journal of Mathematical Fluid Mechanics 14 Nonlinear Analysis. Real World Applications 13 Journal of Functional Analysis 13 Calculus of Variations and Partial Differential Equations 11 Archive for Rational Mechanics and Analysis 11 ZAMP. Zeitschrift für angewandte Mathematik und Physik 11 Mathematische Zeitschrift 10 Journal of Mathematical Sciences (New York) 9 Mathematical Methods in the Applied Sciences 8 Applied Mathematics and Computation 8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 Applicable Analysis 7 Advances in Mathematics 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 Mathematische Annalen 6 Proceedings of the American Mathematical Society 6 Boundary Value Problems 5 Journal of Mathematical Physics 5 Acta Mathematica 5 Acta Applicandae Mathematicae 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 NoDEA. Nonlinear Differential Equations and Applications 4 Nonlinearity 4 Archiv der Mathematik 4 Transactions of the American Mathematical Society 4 Acta Mathematicae Applicatae Sinica. English Series 4 Applied Mathematics Letters 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 SIAM Journal on Mathematical Analysis 4 Journal of Nonlinear Science 3 Communications on Pure and Applied Mathematics 3 Journal of the London Mathematical Society. Second Series 3 Mathematische Nachrichten 3 Journal of Dynamics and Differential Equations 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 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 Glasgow Mathematical 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 Abstract and Applied Analysis 2 Journal of Inequalities and Applications 2 Communications in Contemporary Mathematics 2 Journal of Evolution Equations 2 Communications on Pure and Applied Analysis 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 Czechoslovak Mathematical Journal 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 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Vietnam Journal of Mathematics 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Physical Review Letters 1 Nonlinear Analysis. Modelling and Control 1 Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series B ...and 19 more Serials all top 5 Cited in 29 Fields 484 Partial differential equations (35-XX) 223 Fluid mechanics (76-XX) 25 Biology and other natural sciences (92-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 16 Operator theory (47-XX) 11 Mechanics of deformable solids (74-XX) 10 Ordinary differential equations (34-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Integral equations (45-XX) 6 Numerical analysis (65-XX) 6 Geophysics (86-XX) 5 Real functions (26-XX) 5 Functional analysis (46-XX) 5 Probability theory and stochastic processes (60-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Potential theory (31-XX) 3 Differential geometry (53-XX) 3 Systems theory; control (93-XX) 2 Mathematical logic and foundations (03-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-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 Astronomy and astrophysics (85-XX) Citations by Year