H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 75 Citations 35,427 347 World Ranking 76 National Ranking 44

Research.com Recognitions

Awards & Achievements

2013 - Fellow of the American Mathematical Society

2009 - SIAM Fellow For contributions to partial differential equations and their applications.

1993 - Member of the National Academy of Sciences

1987 - Fellow of the American Academy of Arts and Sciences

1966 - Fellow of John Simon Guggenheim Memorial Foundation

1962 - Fellow of Alfred P. Sloan Foundation

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Mathematical analysis
  • Cancer

His scientific interests lie mostly in Mathematical analysis, Boundary, Applied mathematics, Free boundary problem and Partial differential equation. His Mathematical analysis study frequently involves adjacent topics like Nonlinear system. His biological study spans a wide range of topics, including Flow, Mechanics, Inverse problem, Combinatorics and Porous medium.

His Applied mathematics research is multidisciplinary, incorporating elements of Stefan problem and Differential, Calculus. His study looks at the relationship between Free boundary problem and fields such as Bifurcation, as well as how they intersect with chemical problems. Avner Friedman usually deals with Exponential integrator and limits it to topics linked to Symbol of a differential operator and Hyperbolic partial differential equation.

His most cited work include:

  • Partial Differential Equations of Parabolic Type (3600 citations)
  • Partial differential equations (1448 citations)
  • Stochastic Differential Equations and Applications (1075 citations)

What are the main themes of his work throughout his whole career to date?

Mathematical analysis, Boundary, Free boundary problem, Applied mathematics and Nonlinear system are his primary areas of study. His study in Boundary value problem, Parabolic partial differential equation, Partial differential equation, Hyperbolic partial differential equation and Uniqueness falls under the purview of Mathematical analysis. He is interested in Mixed boundary condition, which is a field of Boundary value problem.

As part of his studies on Parabolic partial differential equation, Avner Friedman often connects relevant subjects like Elliptic partial differential equation. His study ties his expertise on Geometry together with the subject of Boundary.

He most often published in these fields:

  • Mathematical analysis (34.37%)
  • Boundary (14.14%)
  • Free boundary problem (13.62%)

What were the highlights of his more recent work (between 2006-2021)?

  • Immunology (3.89%)
  • Cancer research (4.80%)
  • Mathematical analysis (34.37%)

In recent papers he was focusing on the following fields of study:

Avner Friedman mainly focuses on Immunology, Cancer research, Mathematical analysis, Boundary and Internal medicine. His Immunology research focuses on subjects like Lung, which are linked to Mycobacterium tuberculosis. The Cancer research study combines topics in areas such as Cancer cell, Cancer, Interleukin 12 and Combination therapy.

Avner Friedman has researched Mathematical analysis in several fields, including Simple, Exponential stability and Diffusion equation. In his research, Partial differential equation is intimately related to Uniqueness, which falls under the overarching field of Boundary. Avner Friedman combines subjects such as Applied mathematics, Parabolic partial differential equation, Stability and Bifurcation with his study of Free boundary problem.

Between 2006 and 2021, his most popular works were:

  • MicroRNA regulation of a cancer network: Consequences of the feedback loops involving miR-17-92, E2F, and Myc (324 citations)
  • Hypoxia inducible microRNA 210 attenuates keratinocyte proliferation and impairs closure in a murine model of ischemic wounds (206 citations)
  • Wound angiogenesis as a function of tissue oxygen tension: a mathematical model. (141 citations)

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Top Publications

Partial Differential Equations of Parabolic Type

Avner Friedman.
(1983)

9741 Citations

Stochastic Differential Equations and Applications

Avner Friedman.
(1975)

2849 Citations

Partial differential equations

Avner Friedman.
(1969)

2308 Citations

Variational principles and free-boundary problems

Avner Friedman.
(1982)

1481 Citations

Blow-up of positive solutions of semilinear heat equations

A. Friedman;B. Mcleod.
Indiana University Mathematics Journal (1985)

861 Citations

Differential games

Avner Friedman.
(1971)

847 Citations

Foundations of modern analysis

Avner Friedman.
(1970)

774 Citations

The IMA volumes in mathematics and its applications

Avner Friedman;Willard Miller.
(1986)

534 Citations

Higher order nonlinear degenerate parabolic equations

Francisco Bernis;Avner Friedman.
Journal of Differential Equations (1990)

490 Citations

Variational problems with two phases and their free boundaries

Hans Wilhelm Alt;Luis A. Caffarelli;Avner Friedman.
Transactions of the American Mathematical Society (1984)

468 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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