Spectral analysis of fractional hyperbolic diffusion equations with random data

DOI10.1007/s10955-020-02520-4zbMath1436.35007OpenAlexW3012219624MaRDI QIDQ1987635

Nikolai N. Leonenko, Jayme jun. Vaz

Publication date: 15 April 2020

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-020-02520-4

zbMATH Keywords

Laplace-Beltrami operatorspherical random fieldsfractional telegraph equation

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Fundamental solutions to PDEs (35A08) PDEs with randomness, stochastic partial differential equations (35R60) Initial value problems for second-order hyperbolic equations (35L15) Fractional partial differential equations (35R11) PDEs on manifolds (35R01)

Related Items (3)

On fractional spherically restricted hyperbolic diffusion random field ⋮ On the Stability of the Time Delay Telegraph Equation with Neumann Condition ⋮ ON THE FRACTAL VARIATIONAL PRINCIPLE FOR THE TELEGRAPH EQUATION

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spectral densities related to some fractional stochastic differential equations
• Fractional spherical random fields
• Telegraph processes and option pricing
• General fractional calculus, evolution equations, and renewal processes
• On the generalized Mittag-Leffler function and its application in a fractional telegraph equation
• Random evolutions are driven by the hyperparabolic operators
• Mean-square continuity on homogeneous spaces of compact groups
• Isotropic Gaussian random fields on the sphere: regularity, fast simulation and stochastic partial differential equations
• Spatial variation of total column ozone on a global scale
• Statistical challenges in the analysis of cosmic microwave background radiation
• A stochastic model related to the telegrapher's equation
• Time-fractional telegraph equations and telegraph processes with Brownian time
• From continuous time random walks to the generalized diffusion equation
• Analytic approaches of the anomalous diffusion: a review
• A review of definitions of fractional derivatives and other operators
• Random spherical hyperbolic diffusion
• Convolution-type derivatives, hitting-times of subordinators and time-changed \(C_0\)-semigroups
• Fractional Cauchy problems on compact manifolds
• Random Fields on the Sphere
• The generalized Cattaneo equation for the description of anomalous transport processes
• Tensor-Valued Random Fields for Continuum Physics
• Estimation of Global Temperature Fields from Scattered Observations by a Spherical-Wavelet-Based Spatially Adaptive Method
• Gaussian Random Particles with Flexible Hausdorff Dimension
• Mittag-Leffler Functions, Related Topics and Applications
• From diffusion to anomalous diffusion: A century after Einstein’s Brownian motion
• ON DIFFUSION BY DISCONTINUOUS MOVEMENTS, AND ON THE TELEGRAPH EQUATION
• First Steps in Random Walks
• Stochastic models for fractional calculus
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

This page was built for publication: Spectral analysis of fractional hyperbolic diffusion equations with random data