Solvability of the Cauchy problem for fractional semilinear parabolic equations in critical and doubly critical cases

DOI10.1007/s00028-024-00967-6zbMath1541.35544MaRDI QIDQ6544524

Masamitsu Suzuki, Yasuhito Miyamoto

Publication date: 27 May 2024

Published in: Journal of Evolution Equations (Search for Journal in Brave)

zbMATH Keywords

local in time solutionssupersolutionsfractional Laplaciansemigroup estimatessingular 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) Initial value problems for second-order parabolic equations (35K15) Semilinear parabolic equations (35K58) Fractional partial differential equations (35R11)

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