Fred B. Weissler

5.5k total citations · 2 hit papers
76 papers, 3.5k citations indexed

About

Fred B. Weissler is a scholar working on Applied Mathematics, Mathematical Physics and Control and Systems Engineering. According to data from OpenAlex, Fred B. Weissler has authored 76 papers receiving a total of 3.5k indexed citations (citations by other indexed papers that have themselves been cited), including 47 papers in Applied Mathematics, 42 papers in Mathematical Physics and 31 papers in Control and Systems Engineering. Recurrent topics in Fred B. Weissler's work include Advanced Mathematical Physics Problems (37 papers), Nonlinear Partial Differential Equations (34 papers) and Stability and Controllability of Differential Equations (31 papers). Fred B. Weissler is often cited by papers focused on Advanced Mathematical Physics Problems (37 papers), Nonlinear Partial Differential Equations (34 papers) and Stability and Controllability of Differential Equations (31 papers). Fred B. Weissler collaborates with scholars based in France, United States and Brazil. Fred B. Weissler's co-authors include Thierry Cazenave, Philippe Souplet, Alain Haraux, Flávio Dickstein, Michel Chipot, Carl Mueller, Slim Tayachi, Otared Kavian, Matania Ben‐Artzi and Jerry L. Bona and has published in prestigious journals such as Communications in Mathematical Physics, Communications on Pure and Applied Mathematics and Journal of Mathematical Analysis and Applications.

In The Last Decade

Fred B. Weissler

75 papers receiving 3.1k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

The cauchy problem for the critical nonlinear Schrödinger equation in Hs

1990 483 citations Thierry Cazenave, Fred B. Weissler Nonlinear Analysis profile →
Existence and non-existence of global solutions for a semilinear heat equation

1981 431 citations Fred B. Weissler profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Fred B. Weissler France	31	2.5k	2.3k	1.4k	1.1k	465	76	3.5k
Thierry Cazenave France	23	2.1k 0.8×	3.9k 1.7×	1.6k 1.1×	881 0.8×	1.6k 3.4×	66	4.8k
Marco Squassina Italy	33	3.0k 1.2×	1.6k 0.7×	619 0.4×	2.3k 2.1×	177 0.4×	153	3.5k
P. L. Lions France	8	2.0k 0.8×	1.5k 0.7×	269 0.2×	1.1k 1.0×	439 0.9×	8	2.6k
Alessandra Lunardi Italy	21	2.0k 0.8×	1.2k 0.5×	1.2k 0.8×	1.6k 1.5×	137 0.3×	81	3.3k
Man Kam Kwong United States	24	1.9k 0.8×	1.1k 0.5×	344 0.2×	987 0.9×	352 0.8×	153	2.8k
Victor A. Galaktionov United Kingdom	32	2.5k 1.0×	1.8k 0.8×	1.4k 0.9×	1.6k 1.4×	757 1.6×	140	4.2k
Frank Merle France	39	1.9k 0.7×	3.9k 1.7×	1.1k 0.7×	591 0.5×	2.2k 4.6×	98	4.6k
Guiseppe Da Prato Italy	5	992 0.4×	623 0.3×	1.1k 0.8×	854 0.8×	187 0.4×	6	2.5k
B. M. Levitan Israel	15	900 0.4×	1.4k 0.6×	287 0.2×	765 0.7×	430 0.9×	52	2.1k
Susanna Terracini Italy	27	1.6k 0.7×	1.2k 0.5×	166 0.1×	1.1k 1.0×	424 0.9×	116	2.5k

Countries citing papers authored by Fred B. Weissler

Since Specialization

Citations

This map shows the geographic impact of Fred B. Weissler'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 Fred B. Weissler with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Fred B. Weissler more than expected).

Fields of papers citing papers by Fred B. Weissler

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Fred B. Weissler. 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 Fred B. Weissler. The network helps show where Fred B. Weissler may publish in the future.

Co-authorship network of co-authors of Fred B. Weissler

This figure shows the co-authorship network connecting the top 25 collaborators of Fred B. Weissler. A scholar is included among the top collaborators of Fred B. Weissler 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 Fred B. Weissler. Fred B. Weissler is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Molinet, Luc, et al.. (2025). Self-similar solutions for the generalized fractional Korteweg–de Vries equation. Nonlinear Analysis. 261. 113906–113906.

Tayachi, Slim & Fred B. Weissler. (2023). New life-span results for the nonlinear heat equation. Journal of Differential Equations. 373. 564–625. 4 indexed citations

Tayachi, Slim & Fred B. Weissler. (2013). The nonlinear heat equation with high order mixed derivatives of the Dirac delta as initial values. Transactions of the American Mathematical Society. 366(1). 505–530. 9 indexed citations

Bona, Jerry L., et al.. (2012). Singularity formation and blowup of complex-valued solutions of the modified KdV equation. HAL (Le Centre pour la Communication Scientifique Directe). 4 indexed citations

Cazenave, Thierry, Flávio Dickstein, & Fred B. Weissler. (2009). Global existence and blowup for sign-changing solutions of the nonlinear heat equation. Journal of Differential Equations. 246(7). 2669–2680. 11 indexed citations

Cazenave, Thierry, Flávio Dickstein, & Fred B. Weissler. (2005). A solution of the constant coefficient heat equation on R with exceptional asymptotic behavior: An explicit construction. Journal de Mathématiques Pures et Appliquées. 85(1). 119–150. 7 indexed citations

Cazenave, Thierry, Flávio Dickstein, & Fred B. Weissler. (2003). Universal solutions of a nonlinear heat equation on $\mathbb {R}^N$. French digital mathematics library (Numdam). 2(1). 77–117. 14 indexed citations

Cazenave, Thierry, Flávio Dickstein, Miguel Escobedo, & Fred B. Weissler. (2001). Self-Similar Solutions of a Nonlinear Heat Equation. Journal of mathematical sciences. 8(3). 501–540. 18 indexed citations

Tayachi, Slim, et al.. (1999). Asymptotically self-similar global solutions of a semilinear parabolic equation with a nonlinear gradient term. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 129(6). 1291–1307. 31 indexed citations

10.

Souplet, Philippe & Fred B. Weissler. (1997). Self-Similar Subsolutions and Blowup for Nonlinear Parabolic Equations. Journal of Mathematical Analysis and Applications. 212(1). 60–74. 44 indexed citations

11.

Cazenave, Thierry & Fred B. Weissler. (1992). Rapidly decaying solutions of the nonlinear Schrödinger equation. Communications in Mathematical Physics. 147(1). 75–100. 100 indexed citations

12.

McLeod, Kevin, William C. Troy, & Fred B. Weissler. (1990). Radial solutions of Δu + f(u) = 0 with prescribed numbers of zeros. Journal of Differential Equations. 83(2). 368–378. 50 indexed citations

13.

Cazenave, Thierry & Fred B. Weissler. (1988). The Cauchy problem for the nonlinear Schrödinger equation in H1. manuscripta mathematica. 61(4). 477–494. 105 indexed citations

14.

Mueller, Carl & Fred B. Weissler. (1984). Single Point Blow-up for a General Semilinear Heat Equation. Indiana University Mathematics Journal. 34(4). 881–913. 44 indexed citations

15.

Weissler, Fred B.. (1984). Single point blow-up for a semilinear initial value problem. Journal of Differential Equations. 55(2). 204–224. 120 indexed citations

16.

Mueller, Carl & Fred B. Weissler. (1982). Hypercontractivity for the heat semigroup for ultraspherical polynomials and on the n-sphere. Journal of Functional Analysis. 48(2). 252–283. 49 indexed citations

17.

Haraux, Alain & Fred B. Weissler. (1982). . Indiana University Mathematics Journal. 31(2). 167–167. 159 indexed citations

18.

Weissler, Fred B.. (1979). Two-point inequalities, the Hermite semigroup and the Gauss-Weierstrass semigroup. Journal of Functional Analysis. 32(1). 102–121. 26 indexed citations

19.

Weissler, Fred B.. (1979). Semilinear evolution equations in Banach spaces. Journal of Functional Analysis. 32(3). 277–296. 136 indexed citations

20.

Weissler, Fred B.. (1978). Logarithmic Sobolev Inequalities for the Heat-Diffusion Semigroup. Transactions of the American Mathematical Society. 237. 255–255. 22 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.

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