Solution of a class of reaction-diffusion systems via logarithmic Sobolev inequality
DOI10.5802/ambp.363OpenAlexW1871971752MaRDI QIDQ2405310
Pierre Fougères, Ivan Gentil, Bogusław Zegarliński
Publication date: 22 September 2017
Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1405.1170
Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Transition functions, generators and resolvents (60J35) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Initial-boundary value problems for second-order parabolic systems (35K51) Group- or semigroup-valued set functions, measures and integrals (28B10)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sub-Gaussian measures and associated semilinear problems
- Asymptotic behaviour of reversible chemical reaction-diffusion equations
- Dirichlet forms and symmetric Markov processes.
- Global existence in reaction-diffusion systems with control of mass: a survey
- Global solutions of reaction-diffusion systems
- Orlicz-Sobolev inequalities for sub-Gaussian measures and ergodicity of Markov semi-groups
- Interpolated inequalities between exponential and Gaussian, Orlicz hypercontractivity and isoperimetry
- Entropy methods for reaction-diffusion equations: Slowly growing a-priori bounds
- Coercive inequalities on metric measure spaces
- The logarithmic Sobolev inequality for continuous spin systems on a lattice
- Dirichlet forms and analysis on Wiener space
- Introduction to the theory of (non-symmetric) Dirichlet forms
- The log-Sobolev inequality for unbounded spin systems
- Application of log-Sobolev inequality to the stochastic dynamics of unbounded spin systems on the lattice
- The strong decay to equilibrium for the stochastic dynamics of unbounded spin systems on a lattice
- Partial differential equations. 3: Nonlinear equations
- Close-to-equilibrium behaviour of quadratic reaction-diffusion systems with detailed balance
- Spatial and dynamical chaos generated by reaction-diffusion systems in unbounded domains
- Coercive inequalities for Hörmander type generators in infinite dimensions
- Logarithmic Sobolev inequalities for infinite dimensional Hörmander type generators on the Heisenberg group
- Exponential decay toward equilibrium via entropy methods for reaction-diffusion equations
- On log-Sobolev inequalities for infinite lattice systems
- Improved Duality Estimates and Applications to Reaction-Diffusion Equations
- Infinite-dimensional exponential attractors for nonlinear reaction-diffusion systems in unbounded domains and their approximation
- Global existence for semilinear parabolic systems.
- Logarithmic Sobolev Inequalities
- Continuite des contractions dans les espaces de Dirichlet
- Attractors of reaction-diffusion systems in unbounded domains and their spatial complexity
- Séminaire de Probabilités XXXVI
- CROSS DIFFUSION AND NONLINEAR DIFFUSION PREVENTING BLOW UP IN THE KELLER–SEGEL MODEL
- Analysis and Geometry of Markov Diffusion Operators
- Distributions with Slow Tails and Ergodicity of Markov Semigroups in Infinite Dimensions
- Entropy bounds and isoperimetry
This page was built for publication: Solution of a class of reaction-diffusion systems via logarithmic Sobolev inequality
