Ladyzhenskaya's inequality [SEP] named after
Ladyzhenskaya's inequality
In mathematics, Ladyzhenskaya's inequality is any of a number of related functional inequalities named after the Soviet Russian mathematician Olga Aleksandrovna Ladyzhenskaya. The original such inequality, for functions of two real variables, was introduced by Ladyzhenskaya in 1958 to prove the existence and uniqueness of long-time solutions to the Navier–Stokes equations in two spatial dimensions (for smooth enough initial data). There is an analogous inequality for functions of three real variables, but the exponents are slightly different; much of the difficulty in
- Hölder's inequality
- Jackson's inequality
- Jensen's inequality
- Khabibullin’s conjecture on integral inequalities
- Kantorovich inequality
- Karamata's inequality
- Korn's inequality
- Ladyzhenskaya's inequality
- Landau–Kolmogorov inequality
- Lebedev–Milin inequality
- Lieb–Thirring inequality
- Littlewood's 4/3 inequality
- Markov brothers' inequality
- Mashreghi–Ransford inequality
- Max–min inequality
- Minkowski's inequality
- Poincaré inequality
- Popoviciu's inequality
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