On the regularity of solutions to the Beltrami equation in the Plane. Issue 2 (1st February 2019)

• Record Type: Journal Article
• Authors: Veetel, Bindu K.
• Is Part Of: Complex variables and elliptic equations. Volume 64:Issue 2(2019)
• Page Start: 265
• Page End: 282
• Publication Date: 2019-02-01
• Subjects: Beltrami equation -- modulus of continuity -- Dini continuity -- Fourier multiplier -- Littlewood–Paley partition of unity; 35B65; Functions of complex variables -- Periodicals; Differential equations, Elliptic -- Periodicals; 515.905
• DOI: 10.1080/17476933.2018.1427084
• Languages: English
• ISSNs: 1747-6933

Abstract

ABSTRACT: We obtain interior estimates on regularity of solutions to the inhomogeneous Beltrami equation in the plane, namely∂ ¯ f - μ ∂ f - ν ∂ f ¯ = h when h and the coefficientsμ andν are Dini continuous; the coefficients satisfy an ellipticity condition| μ ( z ) | + | ν ( z ) | ≤ κ < 1 .