a differential variational inequality (DVI) is a dynamical system that incorporates ordinary differential equations and variational inequalities or complementarity...
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problem for partial differential equations and coined the name "variational inequality" for all the problems involving inequalities of this kind. Georges...
18 KB (2,135 words) - 23:09, 31 October 2023
^ . {\displaystyle y={\hat {y}}.} First variation Isoperimetric inequality Variational principle Variational bicomplex Fermat's principle Principle of...
58 KB (9,530 words) - 08:36, 5 June 2025
{\displaystyle \mathbb {R} ^{d}} . Differential inclusions arise in many situations including differential variational inequalities, projected dynamical systems...
8 KB (1,072 words) - 09:13, 6 November 2023
the Poincaré inequality is a result in the theory of Sobolev spaces, named after the French mathematician Henri Poincaré. The inequality allows one to...
14 KB (2,209 words) - 01:55, 5 June 2025
many kinds of inequalities involving matrices and linear operators on Hilbert spaces. This article covers some important operator inequalities connected with...
26 KB (4,516 words) - 02:36, 2 June 2025
through an interpolation inequality. The theorem is of particular importance in the framework of elliptic partial differential equations and was originally...
29 KB (4,435 words) - 15:48, 27 May 2025
Projected dynamical system (redirect from Projected differential equations)
dynamical system. Differential variational inequality Dynamical systems theory Ordinary differential equation Variational inequality Differential inclusion Complementarity...
6 KB (922 words) - 11:15, 2 August 2024
In mathematics, an ordinary differential equation (ODE) is a differential equation (DE) dependent on only a single independent variable. As with any other...
44 KB (5,187 words) - 16:53, 2 June 2025
The proof that continuous finite variation processes have zero quadratic variation follows from the following inequality. Here, P {\displaystyle P} is a...
8 KB (1,544 words) - 14:41, 25 May 2025
mathematics, variation of parameters, also known as variation of constants, is a general method to solve inhomogeneous linear ordinary differential equations...
21 KB (3,989 words) - 04:48, 6 December 2023
Social inequality occurs when resources within a society are distributed unevenly, often as a result of inequitable allocation practices that create distinct...
94 KB (11,156 words) - 16:55, 9 June 2025
Louis Nirenberg (category Partial differential equation theorists)
theorem.[BNS72] Their work has applications to the subject of variational inequalities. By adapting the Dirichlet energy, it is standard to recognize...
62 KB (5,007 words) - 22:08, 6 June 2025
Obstacle problem (category Partial differential equations)
problem is a classic motivating example in the mathematical study of variational inequalities and free boundary problems. The problem is to find the equilibrium...
16 KB (1,968 words) - 13:13, 28 May 2025
For other inequalities named after Wirtinger, see Wirtinger's inequality. In the mathematical field of analysis, the Wirtinger inequality is an important...
16 KB (2,656 words) - 07:45, 24 April 2025
Dušan Repovš (category Partial differential equation theorists)
degenerate problems (blow-up boundary, singular reactions), inequality problems (variational, hemivariational, both either stationary or evolutionary)....
10 KB (859 words) - 16:16, 28 February 2025
Guido Stampacchia (category Variational analysts)
his work on the theory of variational inequalities, the calculus of variation and the theory of elliptic partial differential equations. Stampacchia was...
10 KB (1,032 words) - 07:26, 24 January 2025
Inverse mean curvature flow (category Differential geometry)
"The inverse mean curvature flow and the Riemannian Penrose inequality". Journal of Differential Geometry. 59 (3): 353–437. doi:10.4310/jdg/1090349447....
8 KB (1,113 words) - 22:57, 11 April 2025
Normalized solution (mathematics) (category Partial differential equations)
these problems. For variational problems with prescribed mass, several methods commonly used to deal with unconstrained variational problems are no longer...
17 KB (2,420 words) - 03:41, 8 February 2025
Economic inequality is an umbrella term for three concepts: income inequality, how the total sum of money paid to people is distributed among them; wealth...
146 KB (15,417 words) - 02:46, 7 June 2025
operators, quasiconvex optimization, and variational analysis, with applications in variational inequality problems and game theory. In 2003, García...
7 KB (657 words) - 04:07, 2 June 2025
Income inequality has fluctuated considerably in the United States since measurements began around 1915, moving in an arc between peaks in the 1920s and...
214 KB (21,592 words) - 19:34, 9 June 2025
of problems of variational calculus with integral constraints. These works devoted to differential calculus and calculus of variations may be considered...
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analysis, Croke's proof is based on an inequality of Santaló in integral geometry, while Kleiner adopts a variational approach which reduces the problem to...
7 KB (771 words) - 00:13, 29 May 2025
theorem, a theorem about curvature in differential geometry for 2d surfaces Chern–Gauss–Bonnet theorem in differential geometry, Shiing-Shen Chern's generalization...
14 KB (1,117 words) - 16:38, 23 January 2025
Differential entropy (also referred to as continuous entropy) is a concept in information theory that began as an attempt by Claude Shannon to extend the...
23 KB (2,842 words) - 23:31, 21 April 2025
Mathematical analysis (section Differential equations)
18th century, into analysis topics such as the calculus of variations, ordinary and partial differential equations, Fourier analysis, and generating functions...
45 KB (4,391 words) - 07:02, 23 April 2025
Chaplygin problem (category Calculus of variations)
nonlinear dynamics and the calculus of variations, the Chaplygin problem is an isoperimetric problem with a differential constraint. Specifically, the problem...
2 KB (204 words) - 02:34, 28 October 2023
José F. Escobar (category Differential geometers)
1002/cpa.3160430703 Topics in PDEs̕ and Differential Geometry, Universidade Federal de Goiânia, 2002 Some Variational Problems in Geometry, Instituto Nacional...
7 KB (477 words) - 01:17, 10 June 2025
Nicola Fusco (category Variational analysts)
his contributions to the fields of calculus of variations, regularity theory of partial differential equations, and the theory of symmetrization. He...
5 KB (376 words) - 07:23, 24 January 2025