Semi-linear fractional \(\sigma\)-evolution equations with mass or power non-linearity
type: Item
instance of: scholarly article
title: Semi-linear fractional \(\sigma\)-evolution equations with mass or power non-linearity
zbMATH Open document ID: 1407.35215
author: Abdelatif Kainane Mezadek
author: Michael Reissig
published in: NoDEA. Nonlinear Differential Equations and Applications
publication date: 2019-02-28T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35A01
zbMATH DE Number: 7031114
zbMATH Keywords: fractional equations
zbMATH Keywords: \(\sigma\)-evolution equations
zbMATH Keywords: global in time existence
zbMATH Keywords: small data solutions
MaRDI profile type: Publication
full work available at URL: s00030-018-0530-x
OpenAlex ID: W2885208307
cites work: Self-similarity, symmetries and asymptotic behavior in Morrey spaces for a fractional wave equation.
cites work: Local and global existence of solutions to semilinear parabolic initial value problems
cites work: Global Existence of Small Data Solutions to the Semilinear Fractional Wave Equation
cites work: The critical exponent(s) for the semilinear fractional diffusive equation
cites work: Semi-linear wave equations with effective damping
cites work: Integrodifferential equation which interpolates the heat equation and the wave equation
cites work: Mittag-Leffler Functions, Related Topics and Applications
cites work: Classical Fourier Analysis
cites work: Space-time estimates of linear flow and application to some nonlinear integro-differential equations corresponding to fractional-order time derivative
cites work: L 1 Estimates for Oscillating Integrals Related to Structural Damped Wave Models
cites work: Semi‐linear wave models with power non‐linearity and scale‐invariant time‐dependent mass and dissipation, II
cites work: Global existence for semi-linear structurally damped \(\sigma\)-evolution models
cites work: Q4893982
cites work: Q5640160
DOI: 10.1007/S00030-018-0530-X
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description: scientific article; zbMATH DE number 7031114