Maximal \(L^1\)-regularity of the heat equation and application to a free boundary problem of the Navier-Stokes equations near the half-space
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Publication:2061638
DOI10.1007/s41808-021-00133-wzbMath1479.35172OpenAlexW3208570144MaRDI QIDQ2061638
Senjo Shimizu, Takayoshi Ogawa
Publication date: 16 December 2021
Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s41808-021-00133-w
Neumann boundary conditioninitial-boundary value problemsfree boundary problemsheat equationsend-point estimatemaximal \(L^1\)-regularity
Smoothness and regularity of solutions to PDEs (35B65) Maximal functions, Littlewood-Paley theory (42B25) Initial-boundary value problems for second-order parabolic equations (35K20) Navier-Stokes equations (35Q30) Free boundary problems for PDEs (35R35)
Related Items (3)
Maximal \(L^1\)-regularity for parabolic initial-boundary value problems with inhomogeneous data ⋮ Maximal \(L^1\)-regularity of the heat equation and application to a free boundary problem of the Navier-Stokes equations near the half-space ⋮ Maximal regularity and a singular limit problem for the Patlak-Keller-Segel system in the scaling critical space involving \textit{BMO}
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