Develops and analyzes hypocoercivity-preserving C0-IP finite-element methods in space with hp-DG time stepping for kinetic Fokker-Planck equations on R^d x R^d, proving exponential decay via weighted Poincare inequalities and new trace estimates.
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2 Pith papers cite this work. Polarity classification is still indexing.
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2026 2verdicts
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Proves optimal C^{3/2} (smooth data) and C^{1,1} (no sources) boundary Harnack estimates for kinetic Fokker-Planck equations near grazing sets.
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Hypocoercivity-preserving space-time Galerkin methods for kinetic Fokker-Planck equations
Develops and analyzes hypocoercivity-preserving C0-IP finite-element methods in space with hp-DG time stepping for kinetic Fokker-Planck equations on R^d x R^d, proving exponential decay via weighted Poincare inequalities and new trace estimates.