Oblique derivative problems for nonlinear equations of mixed type in general domains
type: Item
instance of: scholarly article
title: Oblique derivative problems for nonlinear equations of mixed type in general domains
zbMATH Open document ID: 0922.35100
DOI: 10.1016/S1007-5704(98)90004-1
author: Maoying Tain
author: Guochun Wen
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 1999-10-19T00:00:00Z
review text: The Lavrentiev-Bitsadze equation with nonlinear minor terms is considered in domains where it can change its type from elliptic to hyperbolic. Oblique derivative problems for this equation on the complex plane are treated by methods of analytic function theory that permits to reduce problems in question to the Riemann-Hilbert boundary value problem for the system of first-order complex elliptic equations. Existence and uniqueness results are proved.
Mathematics Subject Classification ID: 35M10
zbMATH DE Number: 1286807
zbMATH Keywords: Lavrentiev-Bitsadze equation
zbMATH Keywords: nonlinear minor terms
zbMATH Keywords: Riemann-Hilbert boundary value problem
MaRDI profile type: Publication
cites work: Q3847176
cites work: Q3999265
cites work: Q3996562
cites work: Oblique derivative problems for linear mixed equations of second order
full work available at URL: s1007-5704(98)90004-1
OpenAlex ID: W2074263512
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description: scientific article; zbMATH DE number 1286807