HIGHER REGULARITY FOR PARABOLIC EQUATIONS BASED ON MAXIMAL Lp-Lq SPACES

DOI10.17654/0974324322012zbMath1499.35320arXiv2011.10964OpenAlexW3109721031WikidataQ115234692 ScholiaQ115234692MaRDI QIDQ5865389

Naoto Kajiwara

Publication date: 13 June 2022

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

Full work available at URL: https://arxiv.org/abs/2011.10964

zbMATH Keywords

parabolic equationshigher regularitymaximal \(L_p\)-\(L_q\) regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for higher-order parabolic equations (35K35) A priori estimates in context of PDEs (35B45) Strong solutions to PDEs (35D35)

Cites Work

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• General parabolic mixed order systems in \(L_p\) and applications
• Maximal \(L_p\)-regularity of parabolic problems with boundary dynamics of relaxation type
• Maximal \(L_p\)-\(L_q\) regularity for the quasi-steady elliptic problems
• Optimal \(L^{p}\)- \(L^{q}\)-estimates for parabolic boundary value problems with inhomogeneous data
• Moving Interfaces and Quasilinear Parabolic Evolution Equations
• ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
• Analytic semigroups and optimal regularity in parabolic problems