Local existence and nonexistence for fractional in time weakly coupled reaction-diffusion systems

DOI10.1007/s42985-020-00061-9zbMath1460.35379OpenAlexW3119890319WikidataQ115370250 ScholiaQ115370250MaRDI QIDQ2659818

Masamitsu Suzuki

Publication date: 26 March 2021

Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42985-020-00061-9

zbMATH Keywords

Cauchy sequencesuniquenesslocal in time solutionsCaputo fractional derivativesemigroup estimatessingular initial functions

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractional derivatives and integrals (26A33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (4)

Local existence and nonexistence for fractional in time reaction-diffusion equations and systems with rapidly growing nonlinear terms ⋮ Initial-boundary value problems for coupled systems of time-fractional diffusion equations ⋮ Solvability for time‐fractional semilinear parabolic equations with singular initial data ⋮ Blowup in \(L^1(\Omega )\)-norm and global existence for time-fractional diffusion equations with polynomial semilinear terms

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