# zbMATH — the first resource for mathematics

## Beals, Michael

Compute Distance To:
 Author ID: beals.michael Published as: Beals, Michael; Beals, M.
 Documents Indexed: 26 Publications since 1982, including 2 Books
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#### 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.
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#### 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
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#### 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)

#### Citations contained in zbMATH Open

20 Publications have been cited 265 times in 196 Documents Cited by Year
Self-spreading and strength of singularities for solutions to semilinear wave equations. Zbl 0522.35064
Beals, Michael
1983
Strictly pseudoconvex domains in $${\mathbb{C}}^ n$$. Zbl 0546.32008
Beals, Michael; Fefferman, Charles; Grossman, Robert
1983
Propagation and interaction of singularities in nonlinear hyperbolic problems. Zbl 0698.35100
Beals, Michael
1989
$$L^ p$$ estimates for the wave equation with a potential. Zbl 0795.35059
Beals, Michael; Strauss, Walter
1993
Optimal $$L^ \infty$$ decay for solutions to the wave equation with a potential. Zbl 0818.35054
Beals, Michael
1994
Propagation of singularities for hyperbolic pseudodifferential operators with non-smooth coefficients. Zbl 0482.35083
Beals, Michael; Reed, Michael
1982
Vector fields associated with the nonlinear interaction of progressing waves. Zbl 0644.35069
Beals, Michael
1988
Low regularity local solutions for field equations. Zbl 0852.35098
Beals, Michael; Bézard, Max
1996
Microlocal regularity theorems for nonsmooth pseudodifferential operators and applications to nonlinear problems. Zbl 0562.35093
Beals, Michael; Reed, Michael
1984
Progressing wave solutions to certain nonlinear mixed problems. Zbl 0613.35050
Beals, Michael; Metivier, Guy
1986
Propagation of smoothness for nonlinear second-order strictly hyperbolic differential equations. Zbl 0575.35062
Beals, Michael
1985
Reflection of transversal progressing waves in nonlinear strictly hyperbolic mixed problems. Zbl 0633.35051
Beals, Michael; Métivier, Guy
1987
Nonlinear field equations: Not necessarily bounded solutions. (Équations de champs non linéaires: Des solutions non nécessairement bornées.) Zbl 0787.35075
Beals, Michael; Bezard, Max
1992
Nonlinear wave equations with data singular at one point. Zbl 0552.35055
Beals, Michael
1984
Spreading of singularities for a semilinear wave equation. Zbl 0496.35059
Beals, Michael
1982
Singularities of conormal radially smooth solutions to nonlinear wave equations. Zbl 0673.35078
Beals, Michael
1988
Regularity of nonlinear waves associated with a cusp. Zbl 0794.35004
Beals, Michael
1991
Time decay of $$L^p$$ norms for solutions of the wave equation on exterior domains. Zbl 0920.35027
Beals, Michael
1997
Singularities due to cusp interactions in nonlinear waves. Zbl 0832.35095
Beals, M.
1992
Local $$L^ p$$estimates for Fourier-Airy integral operators. Zbl 0493.35056
Beals, Michael
1982
Time decay of $$L^p$$ norms for solutions of the wave equation on exterior domains. Zbl 0920.35027
Beals, Michael
1997
Low regularity local solutions for field equations. Zbl 0852.35098
Beals, Michael; Bézard, Max
1996
Optimal $$L^ \infty$$ decay for solutions to the wave equation with a potential. Zbl 0818.35054
Beals, Michael
1994
$$L^ p$$ estimates for the wave equation with a potential. Zbl 0795.35059
Beals, Michael; Strauss, Walter
1993
Nonlinear field equations: Not necessarily bounded solutions. (Équations de champs non linéaires: Des solutions non nécessairement bornées.) Zbl 0787.35075
Beals, Michael; Bezard, Max
1992
Singularities due to cusp interactions in nonlinear waves. Zbl 0832.35095
Beals, M.
1992
Regularity of nonlinear waves associated with a cusp. Zbl 0794.35004
Beals, Michael
1991
Propagation and interaction of singularities in nonlinear hyperbolic problems. Zbl 0698.35100
Beals, Michael
1989
Vector fields associated with the nonlinear interaction of progressing waves. Zbl 0644.35069
Beals, Michael
1988
Singularities of conormal radially smooth solutions to nonlinear wave equations. Zbl 0673.35078
Beals, Michael
1988
Reflection of transversal progressing waves in nonlinear strictly hyperbolic mixed problems. Zbl 0633.35051
Beals, Michael; Métivier, Guy
1987
Progressing wave solutions to certain nonlinear mixed problems. Zbl 0613.35050
Beals, Michael; Metivier, Guy
1986
Propagation of smoothness for nonlinear second-order strictly hyperbolic differential equations. Zbl 0575.35062
Beals, Michael
1985
Microlocal regularity theorems for nonsmooth pseudodifferential operators and applications to nonlinear problems. Zbl 0562.35093
Beals, Michael; Reed, Michael
1984
Nonlinear wave equations with data singular at one point. Zbl 0552.35055
Beals, Michael
1984
Self-spreading and strength of singularities for solutions to semilinear wave equations. Zbl 0522.35064
Beals, Michael
1983
Strictly pseudoconvex domains in $${\mathbb{C}}^ n$$. Zbl 0546.32008
Beals, Michael; Fefferman, Charles; Grossman, Robert
1983
Propagation of singularities for hyperbolic pseudodifferential operators with non-smooth coefficients. Zbl 0482.35083
Beals, Michael; Reed, Michael
1982
Spreading of singularities for a semilinear wave equation. Zbl 0496.35059
Beals, Michael
1982
Local $$L^ p$$estimates for Fourier-Airy integral operators. Zbl 0493.35056
Beals, Michael
1982
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#### Cited by 228 Authors

 8 Wang, Ya-Guang 7 Yin, Huicheng 6 Tao, Terence 5 Chemin, Jean-Yves 5 Chen, Shuxing 5 Engliš, Miroslav 5 Fang, Daoyuan 4 Sá Barreto, Antônio 4 Sogge, Christopher D. 4 Vodev, Georgi 4 Witt, Ingo 4 Yan, Wei 3 Beals, Michael 3 Bournaveas, Nikolaos 3 Cardoso, Fernando 3 D’Ancona, Piero 3 Georgiev, Vladimir S. 3 Kolář, Martin 3 Lebeau, Gilles 3 Li, Yongsheng 3 Racke, Reinhard 3 Uhlmann, Gunther Alberto 3 Williams, Mark 3 Xu, Ning 2 Alinhac, Serge 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 Laschon, Gilles 2 Linares, Felipe 2 Métivier, Guy 2 Meylan, Francine 2 Monticelli, Dario Daniele 2 Parker, John R. 2 Phong, Duong Hong 2 Pierfelice, Vittoria 2 Piriou, Alain 2 Rauch, Jeffrey B. 2 Reed, Michael C. 2 Reissig, Michael 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 Wang, Yiran 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 Beceanu, Marius 1 Bejenaru, Ioan 1 Ben-Artzi, Matania 1 Bez, Neal 1 Bruveris, Martins 1 Carvajal, Xavier Paredes 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 Erdoğan, Mehmet Burak 1 Esteban, Maria J. 1 Falbel, Elisha 1 Fanelli, Luca 1 Farah, Luiz Gustavo 1 Felli, Veronica 1 Feng, Ke ...and 128 more Authors
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#### Cited in 79 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 4 Mathematische Annalen 4 Mathematische Zeitschrift 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 Advances in Mathematics 3 Annales de l’Institut Fourier 3 Inventiones Mathematicae 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 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 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 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 and Geometry in Metric Spaces
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#### Cited in 31 Fields

 154 Partial differential equations (35-XX) 30 Several complex variables and analytic spaces (32-XX) 17 Operator theory (47-XX) 15 Global analysis, analysis on manifolds (58-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 13 Functional analysis (46-XX) 13 Differential geometry (53-XX) 13 Quantum theory (81-XX) 8 Mechanics of deformable solids (74-XX) 5 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 Group theory and generalizations (20-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 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX)