Stability of the logarithmic Sobolev inequality and uncertainty principle for the Tsallis entropy
From MaRDI portal
Publication:6637149
DOI10.1016/j.na.2024.113644MaRDI QIDQ6637149
Publication date: 13 November 2024
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Heat equation (35K05) Entropy and other invariants (28D20) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Mathematical Theory of Communication
- Uncertainty relations in the framework of equalities
- Bounds on the deficit in the logarithmic Sobolev inequality
- Hardy type inequalities in \(L^{p}\) with sharp remainders
- Quantitative logarithmic Sobolev inequalities and stability estimates
- Superadditivity of Fisher's information and logarithmic Sobolev inequalities
- Sobolev inequalities with remainder terms
- A note on the Sobolev inequality
- The general optimal \(L^{p}\)-Euclidean logarithmic Sobolev inequality by Hamilton--Jacobi equations.
- Best constants for Gagliardo-Nirenberg inequalities and applications to nonlinear diffusions.
- Further studies on the thermal equilibrium of gas molecules.
- Logarithmic Sobolev and Shannon's inequalities and an application to the uncertainty principle
- Some improvements for a class of the Caffarelli-Kohn-Nirenberg inequalities.
- Nonlinear diffusions, hypercontractivity and the optimal \(L^{p}\)-Euclidean logarithmic Sobolev inequality
- The optimal Euclidean \(L^{p}\)-Sobolev logarithmic inequality.
- Stability for a GNS inequality and the log-HLS inequality, with application to the critical mass Keller-Segel equation
- Possible generalization of Boltzmann-Gibbs statistics.
- Deficit estimates for the logarithmic Sobolev inequality.
- A supplementary proof of \(L^p\)-logarithmic Sobolev inequality
- A short proof of quantitative stability for the Heisenberg-Pauli-Weyl inequality
- Corrigendum to: ``An extension of the Bianchi-Egnell stability estimate to Bakry, Gentil, and Ledoux's generalization of the Sobolev inequality to continuous dimensions
- Shannon's inequality for the Rényi entropy and an application to the uncertainty principle
- Quantitative stability for the Heisenberg-Pauli-Weyl inequality
- Stability of the logarithmic Sobolev inequality via the Föllmer process
- An extension of the Bianchi-Egnell stability estimate to Bakry, Gentil, and Ledoux's generalization of the Sobolev inequality to continuous dimensions
- Scale invariance structures of the critical and the subcritical Hardy inequalities and their improvements
- Stability of the Young and Hölder inequalities
- Improved interpolation inequalities, relative entropy and fast diffusion equations
- Sharp remainder of a critical Hardy inequality
- THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
- Stability Results for Logarithmic Sobolev and Gagliardo–Nirenberg Inequalities
- A Quantitative Log-Sobolev Inequality for a Two Parameter Family of Functions
- Rényi entropy and improved equilibration rates to self-similarity for nonlinear diffusion equations
- The Concavity of Rényi Entropy Power
- Some inequalities satisfied by the quantities of information of Fisher and Shannon
- Non-uniform bound and finite time blow up for solutions to a drift–diffusion equation in higher dimensions
- Generalization of Shannon–Khinchin Axioms to Nonextensive Systems and the Uniqueness Theorem for the Nonextensive Entropy
- A Lyapunov functional for the evolution of solutions to the porous medium equation to self-similarity. I
- A Lyapunov functional for the evolution of solutions to the porous medium equation to self-similarity. II
- Logarithmic Sobolev Inequalities
- Logarithmic Sobolev Inequalities for the Heat-Diffusion Semigroup
- The Variational Formulation of the Fokker--Planck Equation
- Beckner type of the logarithmic Sobolev and a new type of Shannon’s inequalities and an application to the uncertainty principle
- Partially Alternate Derivation of a Result of Nelson
- Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities
- Stability of hypercontractivity, the logarithmic Sobolev inequality, and Talagrand's cost inequality
- Constructive stability results in interpolation inequalities and explicit improvements of decay rates of fast diffusion equations
This page was built for publication: Stability of the logarithmic Sobolev inequality and uncertainty principle for the Tsallis entropy
