Edit Profile (opens in new tab) Beals, Michael Compute Distance To: Compute Author ID: beals.michael Published as: Beals, Michael; Beals, M. Documents Indexed: 25 Publications since 1982, including 1 Book 1 Contribution as Editor Co-Authors: 8 Co-Authors with 10 Joint Publications 301 Co-Co-Authors all top 5 Co-Authors 16 single-authored 2 Bezard, Max 2 Métivier, Guy 2 Reed, Michael C. 2 Strauss, Walter Alexander 1 Fefferman, Charles Louis 1 Grossman, Robert L. 1 Melrose, Richard Burt 1 Rauch, Jeffrey B. all top 5 Serials 4 Communications in Partial Differential Equations 2 Communications on Pure and Applied Mathematics 2 Duke Mathematical Journal 1 American Journal of Mathematics 1 Indiana University Mathematics Journal 1 Transactions of the American Mathematical Society 1 Bulletin of the American Mathematical Society. New Series 1 Annals of Mathematics. Second Series 1 The IMA Volumes in Mathematics and its Applications 1 Progress in Nonlinear Differential Equations and Their Applications all top 5 Fields 26 Partial differential equations (35-XX) 2 Operator theory (47-XX) 1 General and overarching topics; collections (00-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 20 Publications have been cited 275 times in 204 Documents Cited by ▼ Year ▼ Self-spreading and strength of singularities for solutions to semilinear wave equations. Zbl 0522.35064Beals, Michael 54 1983 Strictly pseudoconvex domains in \({\mathbb{C}}^ n\). Zbl 0546.32008Beals, Michael; Fefferman, Charles; Grossman, Robert 45 1983 Propagation and interaction of singularities in nonlinear hyperbolic problems. Zbl 0698.35100Beals, Michael 28 1989 \(L^ p\) estimates for the wave equation with a potential. Zbl 0795.35059Beals, Michael; Strauss, Walter 25 1993 Optimal \(L^ \infty\) decay for solutions to the wave equation with a potential. Zbl 0818.35054Beals, Michael 17 1994 Propagation of singularities for hyperbolic pseudodifferential operators with non-smooth coefficients. Zbl 0482.35083Beals, Michael; Reed, Michael 16 1982 Vector fields associated with the nonlinear interaction of progressing waves. Zbl 0644.35069Beals, Michael 12 1988 Microlocal regularity theorems for nonsmooth pseudodifferential operators and applications to nonlinear problems. Zbl 0562.35093Beals, Michael; Reed, Michael 11 1984 Low regularity local solutions for field equations. Zbl 0852.35098Beals, Michael; Bézard, Max 11 1996 Progressing wave solutions to certain nonlinear mixed problems. Zbl 0613.35050Beals, Michael; Metivier, Guy 9 1986 Propagation of smoothness for nonlinear second-order strictly hyperbolic differential equations. Zbl 0575.35062Beals, Michael 8 1985 Reflection of transversal progressing waves in nonlinear strictly hyperbolic mixed problems. Zbl 0633.35051Beals, Michael; Métivier, Guy 8 1987 Nonlinear field equations: Not necessarily bounded solutions. (Équations de champs non linéaires: Des solutions non nécessairement bornées.) Zbl 0787.35075Beals, Michael; Bezard, Max 6 1992 Nonlinear wave equations with data singular at one point. Zbl 0552.35055Beals, Michael 5 1984 Spreading of singularities for a semilinear wave equation. Zbl 0496.35059Beals, Michael 5 1982 Regularity of nonlinear waves associated with a cusp. Zbl 0794.35004Beals, Michael 4 1991 Singularities of conormal radially smooth solutions to nonlinear wave equations. Zbl 0673.35078Beals, Michael 4 1988 Singularities due to cusp interactions in nonlinear waves. Zbl 0832.35095Beals, M. 3 1992 Time decay of \(L^p\) norms for solutions of the wave equation on exterior domains. Zbl 0920.35027Beals, Michael 2 1997 Local \(L^ p \)estimates for Fourier-Airy integral operators. Zbl 0493.35056Beals, Michael 2 1982 Time decay of \(L^p\) norms for solutions of the wave equation on exterior domains. Zbl 0920.35027Beals, Michael 2 1997 Low regularity local solutions for field equations. Zbl 0852.35098Beals, Michael; Bézard, Max 11 1996 Optimal \(L^ \infty\) decay for solutions to the wave equation with a potential. Zbl 0818.35054Beals, Michael 17 1994 \(L^ p\) estimates for the wave equation with a potential. Zbl 0795.35059Beals, Michael; Strauss, Walter 25 1993 Nonlinear field equations: Not necessarily bounded solutions. (Équations de champs non linéaires: Des solutions non nécessairement bornées.) Zbl 0787.35075Beals, Michael; Bezard, Max 6 1992 Singularities due to cusp interactions in nonlinear waves. Zbl 0832.35095Beals, M. 3 1992 Regularity of nonlinear waves associated with a cusp. Zbl 0794.35004Beals, Michael 4 1991 Propagation and interaction of singularities in nonlinear hyperbolic problems. Zbl 0698.35100Beals, Michael 28 1989 Vector fields associated with the nonlinear interaction of progressing waves. Zbl 0644.35069Beals, Michael 12 1988 Singularities of conormal radially smooth solutions to nonlinear wave equations. Zbl 0673.35078Beals, Michael 4 1988 Reflection of transversal progressing waves in nonlinear strictly hyperbolic mixed problems. Zbl 0633.35051Beals, Michael; Métivier, Guy 8 1987 Progressing wave solutions to certain nonlinear mixed problems. Zbl 0613.35050Beals, Michael; Metivier, Guy 9 1986 Propagation of smoothness for nonlinear second-order strictly hyperbolic differential equations. Zbl 0575.35062Beals, Michael 8 1985 Microlocal regularity theorems for nonsmooth pseudodifferential operators and applications to nonlinear problems. Zbl 0562.35093Beals, Michael; Reed, Michael 11 1984 Nonlinear wave equations with data singular at one point. Zbl 0552.35055Beals, Michael 5 1984 Self-spreading and strength of singularities for solutions to semilinear wave equations. Zbl 0522.35064Beals, Michael 54 1983 Strictly pseudoconvex domains in \({\mathbb{C}}^ n\). Zbl 0546.32008Beals, Michael; Fefferman, Charles; Grossman, Robert 45 1983 Propagation of singularities for hyperbolic pseudodifferential operators with non-smooth coefficients. Zbl 0482.35083Beals, Michael; Reed, Michael 16 1982 Spreading of singularities for a semilinear wave equation. Zbl 0496.35059Beals, Michael 5 1982 Local \(L^ p \)estimates for Fourier-Airy integral operators. Zbl 0493.35056Beals, Michael 2 1982 all cited Publications top 5 cited Publications all top 5 Cited by 242 Authors 8 Wang, Ya-Guang 8 Yin, Huicheng 6 Tao, Terence 5 Chemin, Jean-Yves 5 Chen, Shuxing 5 Engliš, Miroslav 5 Fang, Daoyuan 5 Kolář, Martin 5 Sá Barreto, Antônio 5 Sogge, Christopher D. 5 Witt, Ingo 4 Vodev, Georgi 4 Yan, Wei 3 Beals, Michael 3 Bournaveas, Nikolaos 3 Cardoso, Fernando 3 D’Ancona, Piero 3 Georgiev, Vladimir S. 3 Lebeau, Gilles 3 Li, Yongsheng 3 Meylan, Francine 3 Phong, Duong Hong 3 Racke, Reinhard 3 Uhlmann, Gunther Alberto 3 Wang, Yiran 3 Williams, Mark 3 Xu, Ning 2 Alinhac, Serge 2 Beceanu, Marius 2 Branson, Thomas Patrick 2 Chang, Der-Chen E. 2 Chen, Xuwen 2 Colliander, James E. 2 Cuevas, Claudio 2 Delort, Jean-Marc 2 Duan, Jinqiao 2 Duong, Xuan Thinh 2 Fefferman, Charles Louis 2 Foschi, Damiano 2 Green, William R. 2 Holt, Linda M. 2 Huang, Jianhua 2 Keel, Markus 2 Kim, Seongyeon 2 Klainerman, Sergiu 2 Komech, Alexander Ilich 2 Laschon, Gilles 2 Linares, Felipe 2 Métivier, Guy 2 Monticelli, Dario Daniele 2 Oberguggenberger, Michael B. 2 Parker, John R. 2 Pierfelice, Vittoria 2 Piriou, Alain 2 Rauch, Jeffrey B. 2 Reed, Michael C. 2 Reissig, Michael 2 Ruan, Zhuoping 2 Selberg, Sigmund 2 Seo, Ihyeok 2 Smith, Hart F. 2 Staffilani, Gigliola 2 Stein, Elias Menachem 2 Takaoka, Hideo 2 The Anh Bui 2 Wang, Junfang 2 Wang, Weike 2 Yang, Lin 2 Zhang, Genkai 2 Zheng, Shijun 1 Abenda, Simonetta 1 Alan, Muhammed Ali 1 Alexakis, Spyros 1 Alterman, Deborah 1 Attioui, Abdelali 1 Bachelot, Alain 1 Bahouri, Hajer 1 Bao, Gang 1 Bejenaru, Ioan 1 Ben-Artzi, Matania 1 Bez, Neal 1 Bruveris, Martins 1 Carvajal, Xavier Paredes 1 Chen, Gong 1 Chen, Wengu 1 Cheng, Jih-Hsin 1 Chiu, Hung-Lin 1 Cho, Gunhee 1 Coclite, Giuseppe Maria 1 Costin, Ovidiu 1 Cuccagna, Scipio 1 David, Florin 1 de Hoop, Maarten V. 1 Deguchi, Hideo 1 Donninger, Roland 1 Dos Santos Ferreira, David 1 Dreher, Michael 1 Dzhumabaev, Davlatboĭ Kh. 1 Erdoğan, Mehmet Burak 1 Esteban, Maria J. ...and 142 more Authors all top 5 Cited in 83 Serials 22 Communications in Partial Differential Equations 11 Duke Mathematical Journal 10 Journal of Differential Equations 8 Journal of Mathematical Analysis and Applications 8 Journal of Functional Analysis 8 Transactions of the American Mathematical Society 6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Mathematische Zeitschrift 4 Advances in Mathematics 4 Mathematische Annalen 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Journal of the American Mathematical Society 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Bulletin of the American Mathematical Society. New Series 4 Journal of the European Mathematical Society (JEMS) 4 Nonlinear Analysis. Theory, Methods & Applications 3 Journal of Mathematical Physics 3 Annales de l’Institut Fourier 3 Inventiones Mathematicae 3 Proceedings of the American Mathematical Society 3 Analysis in Theory and Applications 2 Journal d’Analyse Mathématique 2 Arkiv för Matematik 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Bulletin de la Société Mathématique de France 2 Manuscripta Mathematica 2 Mathematische Nachrichten 2 Memoirs of the American Mathematical Society 2 Proceedings of the Japan Academy. Series A 2 SIAM Journal on Applied Mathematics 2 Acta Mathematica Sinica. New Series 2 Applied Mathematics. Series B (English Edition) 2 Discrete and Continuous Dynamical Systems 2 Communications in Contemporary Mathematics 2 Annales Henri Poincaré 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Communications on Pure and Applied Analysis 1 Analysis Mathematica 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Mathematical Methods in the Applied Sciences 1 Russian Mathematical Surveys 1 Mathematics of Computation 1 Reviews in Mathematical Physics 1 Acta Mathematica 1 Journal für die Reine und Angewandte Mathematik 1 Mathematika 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Quarterly of Applied Mathematics 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 Zeitschrift für Analysis und ihre Anwendungen 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Science in China. Series A 1 Differential Geometry and its Applications 1 The Journal of Geometric Analysis 1 Glasnik Matematički. Serija III 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Indagationes Mathematicae. New Series 1 Russian Mathematics 1 Calculus of Variations and Partial Differential Equations 1 Journal of Inverse and Ill-Posed Problems 1 NoDEA. Nonlinear Differential Equations and Applications 1 Documenta Mathematica 1 Mathematical Inequalities & Applications 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 1 Nonlinear Analysis. Real World Applications 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Milan Journal of Mathematics 1 Analysis and Applications (Singapore) 1 Journal of Hyperbolic Differential Equations 1 Boundary Value Problems 1 Complex Variables and Elliptic Equations 1 Journal of Fixed Point Theory and Applications 1 Complex Analysis and Operator Theory 1 Inverse Problems and Imaging 1 Analysis & PDE 1 Analysis and Geometry in Metric Spaces 1 Pure and Applied Analysis all top 5 Cited in 32 Fields 157 Partial differential equations (35-XX) 34 Several complex variables and analytic spaces (32-XX) 17 Operator theory (47-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 15 Global analysis, analysis on manifolds (58-XX) 14 Functional analysis (46-XX) 13 Differential geometry (53-XX) 13 Quantum theory (81-XX) 8 Mechanics of deformable solids (74-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Fluid mechanics (76-XX) 4 Numerical analysis (65-XX) 3 Topological groups, Lie groups (22-XX) 3 Relativity and gravitational theory (83-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 2 Functions of a complex variable (30-XX) 2 Integral transforms, operational calculus (44-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Manifolds and cell complexes (57-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) Citations by Year