edgepedia

Partial differential equation researchers

41 articles

Albert Victor Bäcklund

Albert Victor Bäcklund (1845–1922) was a Swedish mathematician and physicist at Lund University, known for the Bäcklund transformations, which generate new solutions of differential equations, and for his 1883 surface construction.

Alberto Bressan

Alberto Bressan is a mathematician and professor at Pennsylvania State University known for proving well-posedness of one-dimensional hyperbolic conservation laws and for winning the 2008 Bôcher Memorial Prize.

Carlo Miranda

Carlo Miranda (1912–1982) was an Italian mathematician who worked on elliptic partial differential equations, proved the Poincaré–Miranda theorem in 1940, and led the University of Naples school of analysis.

Daniel Tătaru

Daniel Tătaru, born 1967 in Romania, is a Romanian-American mathematician and UC Berkeley professor known for results on dispersive partial differential equations and wave maps.

Diederik Korteweg

Diederik Johannes Korteweg (1848–1941) was a Dutch mathematician and professor at the University of Amsterdam, known for the Korteweg–de Vries equation describing waves in shallow water.

Emilio Gagliardo

Emilio Gagliardo was an Italian mathematician who earned his doctorate at Genoa in 1953 and is known for the Gagliardo–Nirenberg interpolation inequality and the Gagliardo seminorm.

Eugenio Elia Levi

Eugenio Elia Levi (1883–1917) was an Italian mathematician who worked on partial differential equations, several complex variables, and Lie algebras, proving the Levi decomposition in 1905.

Evgenii Landis

Evgenii Mikhailovich Landis (Евгений Михайлович Ландис) was a Soviet mathematician and professor at Moscow State University who worked on partial differential equations and co-invented the AVL tree in 1962.

Francesco Tricomi

Francesco Tricomi, full name Francesco Giacomo Tricomi, was an Italian mathematician (1897–1978) known for the Tricomi equation, central to transonic aerodynamics, and the Tricomi function.

François Trèves

François Trèves, born 1930, is a mathematician and Professor Emeritus at Rutgers University known for his work with Louis Nirenberg on local solvability of linear partial differential equations.

Frank Merle (French mathematician)

Frank Merle, born 1962 in Marseille, is a French mathematician at IHÉS and CY Cergy Paris Université known for blow-up and soliton dynamics of nonlinear PDEs.

Franz Rellich

Franz Rellich (1906–1955) was an Austrian-German mathematician whose Rellich–Kondrachov theorem and operator perturbation theory became foundations of PDE theory and quantum mechanics; he rebuilt Göttingen's institute after the war.

Guido Ascoli

Guido Ascoli (1887–1957) was an Italian mathematician known for work on partial differential equations, functional analysis, and mathematics education, with chairs at Pisa, Milan, and Turin.

Guido Stampacchia

Guido Stampacchia (Naples, 1922 – Paris, 1978) was an Italian mathematician who developed the truncation method for elliptic PDE regularity and, with Gaetano Fichera, founded the theory of variational inequalities.

Gustav de Vries

Gustav de Vries (1866–1934) was a Dutch mathematician and Haarlem schoolteacher whose 1894 doctoral thesis gave explicit form to the Korteweg–de Vries equation, later central to soliton theory.

Heinz Bauer

Heinz Bauer (1928–2002) was a German mathematician and professor at the University of Erlangen-Nürnberg, known for axiomatic potential theory, where the harmonic spaces called Bauer spaces carry his name.

Igor Rodnianski

Igor Rodnianski is a Princeton mathematician working on partial differential equations and general relativity, known for the bounded L2 curvature theorem and the 2023 Clay Research Award.

Ivan Petrovsky

Ivan Georgievich Petrovsky (Иван Георгиевич Петровский) was a Russian mathematician, born in 1901, whose work defined the modern theory of partial differential equations and Hilbert's problems.

Jérémie Szeftel

Jérémie Szeftel is a French mathematician and CNRS Research Director at Sorbonne Université who works on nonlinear partial differential equations, known for proving the stability of Schwarzschild and Kerr black holes.

Jiří Souček

Jiří Souček (1943–2024) was a Czech mathematician born in Prague who worked on analysis and the calculus of variations, coauthoring the two-volume Springer monograph Cartesian Currents in the Calculus of Variations (1998).

Jiro Takeuchi

Jiro Takeuchi (竹内 二郎) is a Japanese mathematician and professor at Tokyo University of Science known for work on the Cauchy problem for Schrödinger-type partial differential operators.

John Toland

John Francis Toland is a Northern Irish mathematician in nonlinear analysis who proved Stokes' conjecture on waves of greatest height in 1978 and led the Isaac Newton Institute.

Kelsey Houston-Edwards

Kelsey Houston-Edwards is an American mathematician and science communicator who wrote and hosted PBS's Infinite Series, earned a 2018 Cornell PhD in probability, and writes for Quanta Magazine.

Lars Gårding

Lars Gårding (1919–2014) was a Swedish mathematician and professor at the University of Lund from 1952 to 1984, known for Gårding's inequality and for advising Lars Hörmander.

Leon Simon

Leon Simon, born 1945, is an Australian mathematician at Stanford University and a world authority on minimal surfaces who won the 1994 Bôcher and 2017 Steele Prizes.

Lin Fanghua

Lin Fanghua (林芳华) is a Silver Professor of Mathematics at NYU's Courant Institute, known for the mathematical theory of liquid crystals and elected to the National Academy of Sciences in 2025.

Michael G. Crandall

Michael G. Crandall, born in 1940, is an American mathematician who originated viscosity solutions of nonlinear partial differential equations and proved foundational results on nonlinear semigroups and bifurcation.

Mihailo Petrović Alas

Mihailo Petrović Alas (Михаило Петровић Алас, 1868 to 1943) was a Serbian mathematician who founded the Serbian school of mathematics and invented the hydrointegrator, an analog calculating machine.

Neil Trudinger

Neil Sidney Trudinger (born 1942) is an Australian mathematician at the Australian National University, known for the Trudinger inequality and the standard monograph on elliptic partial differential equations.

Norman George Meyers

Norman George Meyers (1930–2025) was an American mathematician who spent his career at the University of Minnesota and is best known for the 1963 higher-integrability result called the Meyers estimate.