Local well-posedness and global existence for the biharmonic heat equation with exponential nonlinearity

zbMath1391.35249arXiv1606.07320MaRDI QIDQ1640551

Slim Tayachi, Mohamed Majdoub, Sarah Otsmane

Publication date: 14 June 2018

Published in: Advances in Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.07320

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for higher-order parabolic equations (35K30) Higher-order parabolic equations (35K25) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91)

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