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Ennio De Giorgi, a member of the House of Giorgi, was an Italian mathematician who worked on partial differential equations and the foundations of mathematics.
Louis Nirenberg was a Canadian-American mathematician, considered one of the most outstanding mathematicians of the 20th century.
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Hilbert's nineteenth problem is one of the 23 Hilbert problems, set out in a list compiled in 1900 by David Hilbert. It asks whether the solutions of regular problems in the calculus of variations are always analytic. Informally, and perhaps less directly, since Hilbert's concept of a "regular variational problem" identifies precisely a variational problem whose Euler–Lagrange equation is an elliptic partial differential equation with analytic coefficients, Hilbert's nineteenth problem, despite its seemingly technical statement, simply asks whether, in this class of partial differential equations, any solution function inherits the relatively simple and well understood structure from the solved equation. Hilbert's nineteenth problem was solved independently in the late 1950s by Ennio De Giorgi and John Forbes Nash, Jr.
Lawrence Craig Evans is an American mathematician and Professor of Mathematics at the University of California, Berkeley.
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Leon Melvyn Simon, born in 1945, is a Leroy P. Steele Prize and Bôcher Prize-winning mathematician, known for deep contributions to the fields of geometric analysis, geometric measure theory, and partial differential equations. He is currently Professor Emeritus in the Mathematics Department at Stanford University.
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Mariano Giaquinta, is an Italian mathematician mainly known for his contributions to the fields of calculus of variations and regularity theory of partial differential equation. He is currently professor of Mathematics at the Scuola Normale Superiore di Pisa and he is the director of De Giorgi center at Pisa.
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Héctor Chang Lara is a Venezuelan mathematician working at CIMAT, Guanajuato unit, in Mexico. Chang received his BA in Mathematics from Simon Bolivar University in Venezuela, his MS from the University of New Mexico and his PhD in mathematics from the University of Texas at Austin, advised by Luis Caffarelli. Chang works in partial differential equations, specializing in elliptic and parabolic differential equations as well as integro-differential equations and free boundary problems.
Daniela De Silva is an Italian mathematician known for her expertise in partial differential equations. She is an associate professor of mathematics at Barnard College and Columbia University.
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References
- ↑ Fernández-Real, Xavier; Ros-Oton, Xavier (2022-12-06). Regularity Theory for Elliptic PDE. arXiv: 2301.01564 . doi:10.4171/ZLAM/28. ISBN 978-3-98547-028-0. S2CID 254389061.
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