Interior estimates in sup-norm for generalized potential vectors

DOI10.1080/17476933.2011.622043zbMath1270.35144OpenAlexW1755085725MaRDI QIDQ5300225

Le Viet Cuong

Publication date: 26 June 2013

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2011.622043

zbMATH Keywords

contraction mapping principleassociated space

Mathematics Subject Classification ID

Fixed-point theorems (47H10) A priori estimates in context of PDEs (35B45) Initial value problems for systems of linear first-order PDEs (35F40)

Cites Work

• An example of a smooth linear partial differential equation without solution
• An abstract form of the nonlinear Cauchy-Kowalewski theorem
• An Elementary Proof of the Cauchy-Kowalevsky Theorem
• Bounds for the fundamental solutions of elliptic and parabolic equations
• Interior estimates in the sup-norm for generalized monogenic functions satisfying a differential equation with an anti-monogenic right-hand side
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