Analyticity of solutions of analytic non-linear general elliptic boundary value problems, and some results about linear problems

DOI10.1007/s11464-006-0016-8zbMath1222.35005OpenAlexW1577189414MaRDI QIDQ719951

Rouhuai Wang

Publication date: 12 October 2011

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-006-0016-8

zbMATH Keywords

nonlinearelliptic systemssingular integral operatorsanalytic solutionsSchauder estimates\(L _{p}\) estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for higher-order elliptic equations (35J40) Fundamental solutions to PDEs (35A08) Integral representations of solutions to PDEs (35C15) A priori estimates in context of PDEs (35B45) Boundary value problems for linear higher-order PDEs (35G15) Higher-order elliptic equations (35J30)

Related Items (1)

In memory of Professor Rouhuai Wang (1924--2001): a pioneering Chinese researcher in partial differential equations

Cites Work

• Unnamed Item
• Estimates for translation invariant operators in \(L^p\) spaces
• A continuity property for adjoints of closed operators in Banach spaces, and its application to elliptic boundary value problems
• Theory of Bessel potentials. I
• On Singular Integrals
• On the Analyticity of the Solutions of Analytic Non-Linear Elliptic Systems of Partial Differential Equations: Part I. Analyticity in the Interior
• Singular Integral Operators and Differential Equations
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• ESTIMATES AND EXISTENCE THEOREMS FOR ELLIPTIC BOUNDARY VALUE PROBLEMS
• Another approach to elliptic boundary problems
• Singular Integrals on Compact Manifolds

This page was built for publication: Analyticity of solutions of analytic non-linear general elliptic boundary value problems, and some results about linear problems