One-dimensional Gagliardo-Nirenberg-Sobolev inequalities: remarks on duality and flows
DOI10.1112/jlms/jdu040zbMath1320.26017arXiv1309.0987OpenAlexW3105176992MaRDI QIDQ2922850
Jean Dolbeault, Maria J. Esteban, Michael Loss, A. A. Laptev
Publication date: 15 October 2014
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1309.0987
logarithmic Sobolev inequalityNash's inequalitymass transportation theoryGagliardo-Nirenberg-Sobolev inequality
Nonlinear parabolic equations (35K55) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)
Related Items (31)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fast diffusion equations: matching large time asymptotics by relative entropy methods
- Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- Nonlinear mobility continuity equations and generalized displacement convexity
- Sharp Gagliardo-Nirenberg inequalities and mass transport theory
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- Extremals of functionals with competing symmetries
- Gagliardo-Nirenberg inequalities involving the gradient \(L^2\)-norm
- On the Bakry-Emery criterion for linear diffusions and weighted porous media equations
- A new class of transport distances between measures
- Asymptotics of the fast diffusion equation via entropy estimates
- Nonlinear elliptic equations on compact Riemannian manifolds and asymptotics of Emden equations
- Some applications of mass transport to Gaussian-type inequalities
- Best constants for Gagliardo-Nirenberg inequalities and applications to nonlinear diffusions.
- A mass-transportation approach to sharp Sobolev and Gagliardo-Nirenberg inequalities.
- Fast diffusion to self-similarity: Complete spectrum, long-time asymptotics, and numerology
- Geometric inequalities via a general comparison principle for interacting gases
- Sharp interpolation inequalities on the sphere: new methods and consequences
- A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
- A strong maximum principle for some quasilinear elliptic equations
- Improved interpolation inequalities, relative entropy and fast diffusion equations
- Improved Gagliardo-Nirenberg-Sobolev inequalities on manifolds with positive curvature
- THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
- Continuity of Solutions of Parabolic and Elliptic Equations
- A Generalized Poincare Inequality for Gaussian Measures
- Global and local behavior of positive solutions of nonlinear elliptic equations
- Logarithmic Sobolev Inequalities
- Logarithmic Sobolev Inequalities for the Heat-Diffusion Semigroup
- Asymptotic L^1-decay of solutions of the porous medium equation to self-similarity
- Sharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalities
- From Poincaré to Logarithmic Sobolev Inequalities: A Gradient Flow Approach
- Optimal Transport
- A strong maximum principle and a compact support principle for singular elliptic inequalities
This page was built for publication: One-dimensional Gagliardo-Nirenberg-Sobolev inequalities: remarks on duality and flows