Coercive solvability of a generalized nonlinear Cauchy-Riemann system
type: Item
instance of: scholarly article
title: Coercive solvability of a generalized nonlinear Cauchy-Riemann system
zbMATH Open document ID: 0879.35034
author: K. Kh. Boimatov
author: G. Dzhangibekov
published in: Doklady Mathematics
publication date: 1997-08-20T00:00:00Z
review text: Let \(A,R:L_2(\mathbb{C})\to L_{\infty,\text{loc}}(\mathbb{C})\) be nonlinear operators, \((Bw)(z)= b(z,\text{Re }w(z),\text{Im }w(z))\), \(b(z,\zeta,\eta)\in C^1(\mathbb{C}\times\mathbb{R}\times\mathbb{R})\). In this paper, the coercive properties of the equation \[ \partial_{\overline z}w+ wAw+\overline wBw+\overline wRw=f,\quad w,f\in L_2(\mathbb{C}) \] are studied.
Mathematics Subject Classification ID: 35F20
Mathematics Subject Classification ID: 32W05
Mathematics Subject Classification ID: 35B45
zbMATH DE Number: 1050658
zbMATH Keywords: Vekua's theory
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1050658