Global existence of small data solutions to semi-linear fractional \(\sigma\)-evolution equations with mass and nonlinear memory

DOI10.1007/s00009-020-01573-9zbMath1450.35271OpenAlexW3081921804MaRDI QIDQ2006917

Abdelatif Kainane Mezadek

Publication date: 12 October 2020

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-020-01573-9

zbMATH Keywords

small data solutionsinfluence of higher regularity of the data

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order parabolic equations (35K15) Fractional partial differential equations (35R11)

Cites Work

• Semi-linear wave equations with effective damping
• Local and global existence of solutions to semilinear parabolic initial value problems
• Semi-linear fractional \(\sigma\)-evolution equations with mass or power non-linearity
• Global Existence of Small Data Solutions to the Semilinear Fractional Wave Equation
• Semi‐linear wave models with power non‐linearity and scale‐invariant time‐dependent mass and dissipation
• Unnamed Item

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