Tempered fractional Sobolev spaces

DOI10.1016/J.BULSCI.2024.103488MaRDI QIDQ6601144

Zhiqiang Wei, Tomás Caraballo, Yejuan Wang

Publication date: 10 September 2024

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

zbMATH Keywords

Sobolev embeddingstempered Lévy flightgeneralized Hölder regularitytempered fractional Laplacian operatortempered fractional Sobolev spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Probability theory and stochastic processes (60-XX)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Stochastic Lagrangian particle approach to fractal Navier-Stokes equations
• Feynman-Kac formula for the heat equation driven by fractional noise with Hurst parameter \(H < 1/2\)
• Hitchhiker's guide to the fractional Sobolev spaces
• Is a nonlocal diffusion strategy convenient for biological populations in competition?
• Ten equivalent definitions of the fractional Laplace operator
• The Kolmogorov-Riesz compactness theorem
• Fractional diffusion limit for collisional kinetic equations
• Elliptic PDEs with fibered nonlinearities
• Tempered stable Lévy motion and transient super-diffusion
• Symmetry for a Dirichlet-Neumann problem arising in water waves
• A symmetry result for a general class of divergence form PDEs in fibered media
• Fractional Laplacian phase transitions and boundary reactions: a geometric inequality and a symmetry result
• Functional analysis, Sobolev spaces and partial differential equations
• Phase segregation dynamics in particle systems with long range interactions. I: Macroscopic limits
• The Peierls-Nabarro and Benjamin-Ono equations
• Hamiltonian long-wave approximations to the water-wave problem
• Fractional quantum mechanics and Lévy path integrals
• Gravity waves on the surface of the sphere
• Solution of space-time tempered fractional diffusion-wave equation using a high-order numerical method
• What is the fractional Laplacian? A comparative review with new results
• Numerical approximations for the tempered fractional Laplacian: error analysis and applications
• Dirichlet-to-Neumann map for three-dimensional elastic waves
• Nonlinear Diffusion with Fractional Laplacian Operators
• Mathematical and Numerical Analysis of Linear Peridynamic Models with Nonlocal Boundary Conditions
• Nonlocal Operators with Applications to Image Processing
• Fundamental solution of the tempered fractional diffusion equation
• Euler Equations, Navier-Stokes Equations and Turbulence
• Lévy Processes and Stochastic Calculus
• Elliptic Partial Differential Equations of Second Order
• A Riesz Basis Galerkin Method for the Tempered Fractional Laplacian
• Boundary Problems for the Fractional and Tempered Fractional Operators
• PRICING OF THE AMERICAN PUT UNDER LÉVY PROCESSES
• Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints
• Feynman--Kac Transform for Anomalous Processes
• Fibered nonlinearities for p(x)-Laplace equations
• On shape optimization problems involving the fractional laplacian
• Layer solutions in a half‐space for boundary reactions
• A First Course in Fractional Sobolev Spaces
• Stochastic models for fractional calculus
• The random walk's guide to anomalous diffusion: A fractional dynamics approach
• A stochastic representation for backward incompressible Navier-Stokes equations

This page was built for publication: Tempered fractional Sobolev spaces

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6601144)