Gevrey type regularity of the Riesz-Feller operator perturbed by gradient in \(L^p(\mathbb{R})\)

DOI10.1007/s11785-023-01354-8zbMath1518.47075OpenAlexW4375864769MaRDI QIDQ6096981

Chung-Sik Sin

Publication date: 9 June 2023

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-023-01354-8

zbMATH Keywords

resolvent estimatesanalytic semigroupGevrey regularityRiesz-Feller operator

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Transition functions, generators and resolvents (60J35) Integro-differential operators (47G20) Pseudodifferential operators (47G30) (C)-semigroups, regularized semigroups (47D60)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On nonlinear conservation laws with a nonlocal diffusion term
• Semigroups of linear operators and applications to partial differential equations
• \(L^{p}\) estimates for fractional Schrödinger operators with Kato class potentials
• Qualitative properties of certain \(C_0\) semigroups arising in elastic systems with various dampings
• Gaussian bounds for higher-order elliptic differential operators with Kato type potentials
• Gevrey semigroup generated by \(- (\Lambda^\alpha + b \cdot \nabla)\) in \(L^p(\mathbb{R}^n)\)
• On fundamental solutions for non-local parabolic equations with divergence free drift
• Estimates of heat kernel of fractional Laplacian perturbed by gradient operators
• Regularity analysis for an abstract system of coupled hyperbolic and parabolic equations
• The fundamental solution of the space-time fractional diffusion equation
• Classical Fourier Analysis
• Well-posedness for the fractional Fokker-Planck equations
• Gevrey Class Semigroups Arising from Elastic Systems with Gentle Dissipation: The Case 0 < α < ½
• Asymmetric transport and non-Gaussian statistics of passive scalars in vortices in shear
• Stochastic models for fractional calculus
• Fractional powers of operators
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

This page was built for publication: Gevrey type regularity of the Riesz-Feller operator perturbed by gradient in \(L^p(\mathbb{R})\)