Best Constants in Multiplicative Inequalities for Sup-Norms

DOI10.1112/S002461079800653XzbMath0923.26011MaRDI QIDQ4716685

No author found.

Publication date: 27 September 1999

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

periodic functionbest constantsmultiplicative inequalities

Mathematics Subject Classification ID

Inequalities involving derivatives and differential and integral operators (26D10)

Related Items

Explicit estimates on the torus for the sup-norm and the crest factor of solutions of the modified Kuramoto-Sivashinky equation in one and two space dimensions ⋮ Lieb-Thirring inequalities on the torus ⋮ Lieb-Thirring inequalities on some manifolds ⋮ On the crest factor and its relevance in detecting turbulent behaviour in solutions of partial differential equations ⋮ On the crest factor for dissipative partial differential equations ⋮ Persistence of travelling wave solutions of a fourth order diffusion system ⋮ Explicit estimates on the torus for the sup-norm and the dissipative length scale of solutions of the Swift-Hohenberg equation in one and two space dimensions ⋮ On the nature of space fluctuations of solutions of dissipative partial differential equations ⋮ The linearly damped nonlinear Schrödinger equation with localized driving: spatiotemporal decay estimates and the emergence of extreme wave events ⋮ Sharp constants in the Sobolev embedding theorem and a derivation of the Brezis-Gallouet interpolation inequality ⋮ Sharp interpolation inequalities for discrete operators and applications