Coercivity estimates for integro-differential operators

DOI10.1007/s00526-020-01764-yzbMath1444.47058arXiv1904.13014OpenAlexW3035039864MaRDI QIDQ2189552

Jamil Chaker, Luis Silvestre

Publication date: 16 June 2020

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.13014

zbMATH Keywords

integro-differential operatorscoercivity estimates

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Integro-differential operators (47G20) Integro-partial differential equations (35R09)

Related Items (7)

Regularity for the Boltzmann equation conditional to macroscopic bounds ⋮ Upper heat kernel estimates for nonlocal operators via Aronson's method ⋮ Fractional Sobolev spaces with power weights ⋮ Entropy dissipation estimates for the Boltzmann equation without cut-off ⋮ Regularity estimates and open problems in kinetic equations ⋮ Reduction of integration domain in Triebel–Lizorkin spaces ⋮ Global regularity estimates for the Boltzmann equation without cut-off

Cites Work

• Unnamed Item
• Regularity theory for general stable operators
• Regularity for parabolic integro-differential equations with very irregular kernels
• A new regularization mechanism for the Boltzmann equation without cut-off
• Non-local gradient dependent operators
• Sharp anisotropic estimates for the Boltzmann collision operator and its entropy production
• The Boltzmann equation without angular cutoff in the whole space. I: global existence for soft potential
• Smoothing estimates for Boltzmann equation with full-range interactions: spatially homogeneous case
• A priori estimates for integro-differential operators with measurable kernels
• A review of Boltzmann equation with singular kernels
• Littlewood-Paley theory and regularity issues in Boltzmann homogeneous equations. II. Non cutoff case and non Maxwellian molecules
• Entropy dissipation and long-range interactions
• Uniform estimates for fundamental solutions associated with nonlocal Dirichlet forms
• The weak Harnack inequality for the Boltzmann equation without cut-off
• Regularity estimates for elliptic nonlocal operators
• Transition Probabilities for Symmetric Jump Processes
• Local Regularity for Parabolic Nonlocal Operators
• Integro-Differential equations with nonlinear directional dependence
• Regularity theory for parabolic nonlinear integral operators
• Non-local Dirichlet forms and symmetric jump processes
• Régularité et compacité pour des noyaux de collision de Boltzmann sans troncature angulaire
• Quadratic forms and Sobolev spaces of fractional order
• Regularity results for nonlocal parabolic equations
• LITTLEWOOD–PALEY THEORY AND REGULARITY ISSUES IN BOLTZMANN HOMOGENEOUS EQUATIONS I: NON-CUTOFF CASE AND MAXWELLIAN MOLECULES
• Sharp bounds for Boltzmann and Landau collision operators
• Explicit Coercivity Estimates for the Linearized Boltzmann and Landau Operators
• Some solutions of the Boltzmann equation without angular cutoff.

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