Hilbert's nineteenth problem is one of the 23 Hilbert problems, set out in a list compiled by David Hilbert in 1900. It asks whether the solutions of...

equations resolved Hilbert's nineteenth problem on regularity in the calculus of variations, which had been a well-known open problem for almost 60 years...

Hilbert's twentieth problem is one of the 23 Hilbert problems set out in a celebrated list compiled in 1900 by David Hilbert. It asks whether all boundary...

In mathematics, Hilbert's fourteenth problem, that is, number 14 of Hilbert's problems proposed in 1900, asks whether certain algebras are finitely generated...

irreducibility theorem Hilbert's Nullstellensatz Hilbert's theorem (differential geometry) Hilbert's Theorem 90 Hilbert's syzygy theorem Hilbert–Speiser theorem...

about the integrability and differentiability of weak solutions. Hilbert's nineteenth problem was concerned with this concept. The motivation for this study...

Hilbert's fifteenth problem is one of the 23 Hilbert problems set out in a list compiled in 1900 by David Hilbert. The problem is to put Schubert's enumerative...

equations, such as the Nash embedding theorem or his proof of Hilbert's nineteenth problem, work which he did in his time at MIT and for which he was given...

known for her work on partial differential equations (especially Hilbert's nineteenth problem) and fluid dynamics. She provided the first rigorous proofs of...

the nineteenth century. In 1900 David Hilbert included it in his list of twenty three unsolved problems of mathematics—it forms part of Hilbert's eighteenth...

h-principle. This was applied by Stefan Müller and Vladimír Šverák to Hilbert's nineteenth problem, constructing minimizers of minimal differentiability in the...

equations in many variables, in their respective solutions to Hilbert's nineteenth problem. Bernstein, Serge (1906), "Sur la généralisation du problème...

Hilbert's nineteenth problem on the analytic solution of elliptic differential equations. His later work was devoted to Dirichlet's boundary problem for...

in parallel with John Nash's, who was also working on and solved Hilbert's problem. His results were the first to be published, and it was anticipated...

differential equations. He solved Bernstein's problem about minimal surfaces. He solved Hilbert's nineteenth problem on the regularity of solutions of elliptic...

department head in 1974. Uraltseva's research on Hilbert's nineteenth problem and Hilbert's twentieth problem led to her recognition in 1967 by the Chebyshev...

theory of semisimple Lie groups has its roots in invariant theory. David Hilbert's work on the question of the finite generation of the algebra of invariants...

arithmetic, and analysis. In the early 20th century it was shaped by David Hilbert's program to prove the consistency of foundational theories. Results of...

werden wissen ("We must know – we will know"). Answers to some of Hilbert's 23 problems were found during the 20th century. Some have been answered definitively;...

cases is a typical geometric introduction of a 'fudge factor'. Hilbert's fifteenth problem was to overcome the apparently arbitrary nature of these interventions;...

to a purely formal system as envisaged in Hilbert's program. This dealt a final blow to the heart of Hilbert's program, the hope that consistency could...

mathematics, Springer, ISBN 9783540363514 V.I. Arnold, From Hilbert's Superposition Problem to Dynamical Systems, p. 4 http://galoisdb.math.upb.de/groups...

Liouville's equation was also taken as an example by David Hilbert in the formulation of his nineteenth problem. By using the change of variables log f ↦ u, another...

A. R. (2001), Convex Polyhedra with Regularity Conditions and Hilbert's Third Problem, Texts and Readings in Mathematics, Hindustan Book Agency, p. 84–89...

Toulouse Math. (6) 18 (2009), Fascicule Spécial, 59–85. Hilbert's nineteenth problem Plateau's problem "Scheda Personale | DiMaI - Dipartimento di Matematica...

real analysis, Cantor's set theory, Frege's work on foundations, and Hilbert's 'new' use of axiomatic method as a research tool. For example, group theory...

similar fact holds for arbitrary groups G was the subject of Hilbert's fourteenth problem, and Nagata demonstrated that the answer was negative in general...

integrals were later connected to the prominent mathematician David Hilbert's 16th Problem, and they continue to be considered one of the foremost challenges...

mathematicians took up the axiomatic method, strongly influenced by David Hilbert's example. The logical formulation of pure mathematics suggested by Bertrand...

number of variables has a basis. He extended this further in 1890 to Hilbert's basis theorem. Once these theories had been developed, it was still several...