THE Cα REGULARITY OF A CLASS OF ULTRAPARABOLIC EQUATIONS

DOI10.1142/S0219199711004385zbMath1229.35129arXivmath/0510405OpenAlexW2015969182MaRDI QIDQ3013895

Li-Qun Zhang

Publication date: 19 July 2011

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510405

zbMATH Keywords

Moser iterationmeasurable coefficients

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate parabolic equations (35K65) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70)

Related Items (1)

\(C^\alpha\) regularity of weak solutions of non-homogeneous ultraparabolic equations with drift terms

Cites Work

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• Subelliptic estimates and function spaces on nilpotent Lie groups
• On the global existence of solutions to the Prandtl's system.
• \(\mathcal{L}^p\) estimates for some ultraparabolic operators with discontinuous coefficients
• Continuity of Solutions of Parabolic and Elliptic Equations
• On Harnack's theorem for elliptic differential equations
• Regularity for quasilinear second‐order subelliptic equations
• THE MOSER'S ITERATIVE METHOD FOR A CLASS OF ULTRAPARABOLIC EQUATIONS
• A harnack inequality for parabolic differential equations
• Hölder regularity for solutions of ultraparabolic equations in divergence form

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