Solvability for time‐fractional semilinear parabolic equations with singular initial data

DOI10.1002/mma.8933zbMath1530.35343MaRDI QIDQ6140693

Yasuhito Miyamoto, Marius Ghergu, Masamitsu Suzuki

Publication date: 2 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

critical exponentsexistence and nonexistencefractional parabolic problems

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Critical exponents in context of PDEs (35B33) Fractional partial differential equations (35R11) Quasilinear parabolic equations (35K59)

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Blowup in \(L^1(\Omega )\)-norm and global existence for time-fractional diffusion equations with polynomial semilinear terms

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