Local existence and nonexistence for fractional in time reaction-diffusion equations and systems with rapidly growing nonlinear terms

DOI10.1016/J.NA.2022.112909zbMath1491.35438OpenAlexW4224248369MaRDI QIDQ2145620

Masamitsu Suzuki

Publication date: 17 June 2022

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2022.112909

zbMATH Keywords

local in time solutionsCaputo fractional derivativesemigroup estimatesexponential and superexponential nonlinear termssingular initial functions

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Fractional derivatives and integrals (26A33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order parabolic equations (35K15) Semilinear parabolic equations (35K58) Fractional partial differential equations (35R11)

Related Items (2)

Initial-boundary value problems for coupled systems of time-fractional diffusion equations ⋮ Blowup in \(L^1(\Omega )\)-norm and global existence for time-fractional diffusion equations with polynomial semilinear terms

Cites Work

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• Global Existence of Small Data Solutions to the Semilinear Fractional Wave Equation
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