Semi-linear fractional \(\sigma\)-evolution equations with mass or power non-linearity

DOI10.1007/s00030-018-0530-xzbMath1407.35215OpenAlexW2885208307MaRDI QIDQ1729869

Abdelatif Kainane Mezadek, Michael Reissig

Publication date: 28 February 2019

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-018-0530-x

zbMATH Keywords

fractional equationssmall data solutionsglobal in time existence\(\sigma\)-evolution equations

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11)

Related Items (6)

On the Klein-Gordon equation with randomized oscillating coefficients on the sphere ⋮ On the fractional order hyperbolic equation with random coefficients ⋮ Weakly coupled systems of semi-linear fractional \(\sigma\)-evolution equations with mass and different power nonlinearities ⋮ On the magnetic Schrödinger hyperbolic equation with randomized coefficients ⋮ On the Cauchy problem for a class of semilinear second order evolution equations with fractional Laplacian and damping ⋮ Global existence of small data solutions to semi-linear fractional \(\sigma\)-evolution equations with mass and nonlinear memory

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