Global existence of solutions of the time fractional Cahn-Hilliard equation in \(\mathbb{R}^3\)
type: Item
instance of: scholarly article
title: Global existence of solutions of the time fractional Cahn-Hilliard equation in \(\mathbb{R}^3\)
zbMATH Open document ID: 1470.35420
author: Hailong Ye
author: Qiang Liu
author: Zhi-Min Chen
published in: Journal of Evolution Equations
publication date: 2021-08-10T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35K30
Mathematics Subject Classification ID: 35K58
Mathematics Subject Classification ID: 35K90
zbMATH DE Number: 7380253
zbMATH Keywords: Caputo fractional derivative
zbMATH Keywords: Cahn-Hilliard equation
zbMATH Keywords: mild solution
zbMATH Keywords: strong solutions
zbMATH Keywords: existence and uniqueness
MaRDI profile type: Publication
full work available at URL: s00028-021-00687-1
OpenAlex ID: W3141985459
cites work: Semilinear fractional differential equations: global solutions, critical nonlinearities and comparison results
cites work: Functional analysis, Sobolev spaces and partial differential equations
cites work: Q4257017
cites work: An \(L^ \infty\) bound for solutions of the Cahn-Hilliard equation
cites work: Free Energy of a Nonuniform System. I. Interfacial Free Energy
cites work: Mild solutions to the time fractional Navier-Stokes equations in \(\mathbb{R}^N\)
cites work: Cauchy problem for fractional diffusion equations
cites work: One-Parameter Semigroups for Linear Evolution Equations
cites work: Finite difference/Hermite-Galerkin spectral method for multi-dimensional time-fractional nonlinear reaction-diffusion equation in unbounded domains
cites work: Fully fractional anisotropic diffusion for image denoising
cites work: Representation of solutions and large-time behavior for fully nonlocal diffusion equations
cites work: Fractional Cable Equation Models for Anomalous Electrodiffusion in Nerve Cells: Finite Domain Solutions
cites work: Fractional cable equation models for anomalous electrodiffusion in nerve cells: Infinite domain solutions
cites work: A Generalized Definition of Caputo Derivatives and Its Application to Fractional ODEs
cites work: Some Compactness Criteria for Weak Solutions of Time Fractional PDEs
cites work: Time-fractional diffusion equation for signal smoothing
cites work: Cauchy problems for Keller-Segel type time-space fractional diffusion equation
cites work: Time-fractional Allen-Cahn and Cahn-Hilliard phase-field models and their numerical investigation
cites work: Global existence and asymptotics of solutions of the Cahn-Hilliard equation
cites work: The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
cites work: Well-posedness of the Cauchy problem for the fractional power dissipative equations
cites work: Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
cites work: Q4276447
cites work: Well-posedness and long-time behaviour for the non-isothermal Cahn-Hilliard equation with memory
cites work: Waiting-times and returns in high-frequency financial data: An empirical study
cites work: An iterative approximation for time-fractional Cahn-Allen equation with reproducing kernel method
cites work: Q3141895
cites work: Decay and asymptotics for \(\square u = F(u)\)
cites work: On Energy Dissipation Theory and Numerical Stability for Time-Fractional Phase-Field Equations
cites work: Abstract fractional Cauchy problems with almost sectorial operators
cites work: On power law scaling dynamics for time-fractional phase field models during coarsening
DOI: 10.1007/S00028-021-00687-1
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description: scientific article; zbMATH DE number 7380253