Distributional solutions of the Beltrami equation

A. L. Baisón; A. Clop; J. Orobitg

doi:10.1016/j.jmaa.2018.10.050

Distributional solutions of the Beltrami equation

A. L. Baisón, A. Clop, J. Orobitg

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Resum

© 2018 Elsevier Inc. We study the distributional solutions to the (generalized) Beltrami equation under Sobolev assumptions on the Beltrami coefficients. In this setting, we prove that these distributional solutions are true quasiregular maps and they are smoother than expected, that is, they have second order derivatives in Lloc1+ε, for some ε>0.

Idioma original	Anglès
Pàgines (de-a)	1081-1094
Nombre de pàgines	14
Revista	Journal of Mathematical Analysis and Applications
Volum	470
Número	2
DOIs	https://doi.org/10.1016/j.jmaa.2018.10.050
Estat de la publicació	Publicada - 15 de febr. 2019

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10.1016/j.jmaa.2018.10.050

https://ddd.uab.cat/record/288112

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http://www.mendeley.com/research/distributional-solutions-beltrami-equation

Com citar-ho

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title = "Distributional solutions of the Beltrami equation",

abstract = "{\textcopyright} 2018 Elsevier Inc. We study the distributional solutions to the (generalized) Beltrami equation under Sobolev assumptions on the Beltrami coefficients. In this setting, we prove that these distributional solutions are true quasiregular maps and they are smoother than expected, that is, they have second order derivatives in Lloc1+ε, for some ε>0.",

keywords = "Beltrami operators, Beltrami's equation, Distributional solution, Quasiconformal mapping",

author = "Bais{\'o}n, {A. L.} and A. Clop and J. Orobitg",

year = "2019",

month = feb,

day = "15",

doi = "10.1016/j.jmaa.2018.10.050",

language = "English",

volume = "470",

pages = "1081--1094",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - Distributional solutions of the Beltrami equation

AU - Baisón, A. L.

AU - Clop, A.

AU - Orobitg, J.

PY - 2019/2/15

Y1 - 2019/2/15

N2 - © 2018 Elsevier Inc. We study the distributional solutions to the (generalized) Beltrami equation under Sobolev assumptions on the Beltrami coefficients. In this setting, we prove that these distributional solutions are true quasiregular maps and they are smoother than expected, that is, they have second order derivatives in Lloc1+ε, for some ε>0.

AB - © 2018 Elsevier Inc. We study the distributional solutions to the (generalized) Beltrami equation under Sobolev assumptions on the Beltrami coefficients. In this setting, we prove that these distributional solutions are true quasiregular maps and they are smoother than expected, that is, they have second order derivatives in Lloc1+ε, for some ε>0.

KW - Beltrami operators

KW - Beltrami's equation

KW - Distributional solution

KW - Quasiconformal mapping

UR - http://www.mendeley.com/research/distributional-solutions-beltrami-equation

U2 - 10.1016/j.jmaa.2018.10.050

DO - 10.1016/j.jmaa.2018.10.050

M3 - Article

SN - 0022-247X

VL - 470

SP - 1081

EP - 1094

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Distributional solutions of the Beltrami equation

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