Michael Beals

703 total citations
18 papers, 348 citations indexed

About

Michael Beals is a scholar working on Applied Mathematics, Mathematical Physics and Numerical Analysis. According to data from OpenAlex, Michael Beals has authored 18 papers receiving a total of 348 indexed citations (citations by other indexed papers that have themselves been cited), including 11 papers in Applied Mathematics, 10 papers in Mathematical Physics and 5 papers in Numerical Analysis. Recurrent topics in Michael Beals's work include Advanced Mathematical Physics Problems (7 papers), Differential Equations and Boundary Problems (7 papers) and Stability and Controllability of Differential Equations (5 papers). Michael Beals is often cited by papers focused on Advanced Mathematical Physics Problems (7 papers), Differential Equations and Boundary Problems (7 papers) and Stability and Controllability of Differential Equations (5 papers). Michael Beals collaborates with scholars based in United States, France and Netherlands. Michael Beals's co-authors include Michael C. Reed, Walter A. Strauss, Charles Fefferman, Robert L. Grossman, Michael Reed and Guy Métivier and has published in prestigious journals such as Annals of Mathematics, Communications on Pure and Applied Mathematics and Transactions of the American Mathematical Society.

In The Last Decade

Michael Beals

16 papers receiving 265 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Michael Beals United States	10	274	227	104	50	41	18	348
Cesare Parenti Italy	9	225 0.8×	211 0.9×	21 0.2×	76 1.5×	17 0.4×	38	299
Kunihiko Kajitani Japan	10	222 0.8×	212 0.9×	94 0.9×	40 0.8×	10 0.2×	40	279
Ioan Bejenaru United States	11	397 1.4×	259 1.1×	118 1.1×	38 0.8×	29 0.7×	22	432
Peter A. Tomas United States	7	329 1.2×	394 1.7×	20 0.2×	46 0.9×	36 0.9×	13	473
S. I. Pokhozhaev Russia	10	248 0.9×	393 1.7×	131 1.3×	213 4.3×	33 0.8×	51	532
Sigeru Mizohata Japan	12	340 1.2×	342 1.5×	139 1.3×	177 3.5×	18 0.4×	34	522
Dong Ye France	11	159 0.6×	304 1.3×	30 0.3×	182 3.6×	57 1.4×	30	385
W. Rother Germany	7	338 1.2×	390 1.7×	65 0.6×	239 4.8×	15 0.4×	21	531
Frank Pacard France	8	137 0.5×	229 1.0×	30 0.3×	127 2.5×	49 1.2×	9	286
Aurel Cornea Germany	8	248 0.9×	304 1.3×	26 0.3×	179 3.6×	153 3.7×	19	522

Countries citing papers authored by Michael Beals

Since Specialization

Citations

This map shows the geographic impact of Michael Beals's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Michael Beals with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Michael Beals more than expected).

Fields of papers citing papers by Michael Beals

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Michael Beals. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Michael Beals. The network helps show where Michael Beals may publish in the future.

Co-authorship network of co-authors of Michael Beals

This figure shows the co-authorship network connecting the top 25 collaborators of Michael Beals. A scholar is included among the top collaborators of Michael Beals based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Michael Beals. Michael Beals is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

18 of 18 papers shown

Beals, Michael, et al.. (1996). Low regularity local solutions for field equations. Communications in Partial Differential Equations. 21(1-2). 79–124. 21 indexed citations

Beals, Michael. (1994). OptimalL^∞decay for solutions to the wave equation with a potential. Communications in Partial Differential Equations. 19(7-8). 1319–1369. 27 indexed citations

Beals, Michael & Walter A. Strauss. (1993). L^pEstimates for the wave equation with a potential. Communications in Partial Differential Equations. 18(7-8). 1365–1397. 39 indexed citations

Beals, Michael, et al.. (1992). Équations de champs non linéaires : des solutions non nécessairement bornées. Journées Équations aux dérivées partielles. 1–13. 1 indexed citations

Beals, Michael & Walter A. Strauss. (1991). Time decay estimates for a perturbed wave equation. Journées Équations aux dérivées partielles. 1–10. 2 indexed citations

Beals, Michael. (1989). Propagation and Interaction of Singularities in Nonlinear Hyperbolic Problems. Birkhäuser Boston eBooks. 33 indexed citations

Beals, Michael. (1988). Singularities of conormal radially smooth solutions to nonlinear wave equations. Communications in Partial Differential Equations. 13(11). 1355–1382. 6 indexed citations

Beals, Michael. (1988). . Indiana University Mathematics Journal. 37(3). 637–637. 8 indexed citations

Beals, Michael & Guy Métivier. (1987). Reflection of Transversal Progressing Waves in Nonlinear Strictly Hyperbolic Mixed Problems. American Journal of Mathematics. 109(2). 335–335. 2 indexed citations

10.

Beals, Michael. (1987). Book Review: On the Cauchy problem. Bulletin of the American Mathematical Society. 17(1). 169–177.

11.

Beals, Michael & Guy Métivier. (1986). Progressing wave solutions to certain nonlinear mixed problems. Duke Mathematical Journal. 53(1). 5 indexed citations

12.

Beals, Michael & Michael C. Reed. (1984). Microlocal regularity theorems for nonsmooth pseudodifferential operators and applications to nonlinear problems. Transactions of the American Mathematical Society. 285(1). 159–184. 22 indexed citations

13.

Beals, Michael & Michael Reed. (1984). Microlocal Regularity Theorems for Nonsmooth Pseudodifferential Operators and Applications to Nonlinear Problems. Transactions of the American Mathematical Society. 285(1). 159–159. 9 indexed citations

14.

Beals, Michael. (1983). Self-Spreading and Strength of Singularities for Solutions to Semilinear Wave Equations. Annals of Mathematics. 118(1). 187–187. 74 indexed citations

15.

Beals, Michael, Charles Fefferman, & Robert L. Grossman. (1983). Strictly pseudoconvex domains in 𝐶ⁿ. Bulletin of the American Mathematical Society. 8(2). 125–322. 59 indexed citations

16.

Beals, Michael. (1982). Spreading of singularities for a semilinear wave equation. Duke Mathematical Journal. 49(2). 9 indexed citations

17.

Beals, Michael. (1982). Local L^p estimates for fourier‐airy integral operators. Communications on Pure and Applied Mathematics. 35(6). 751–769. 1 indexed citations

18.

Beals, Michael & Michael C. Reed. (1982). Propagation of singularities for hyperbolic pseudo differential operators with non‐smooth coefficients. Communications on Pure and Applied Mathematics. 35(2). 169–184. 30 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact