TY - JOUR
T1 - Univalence and holomorphic extension of the solution to ω-controlled Loewner–Kufarev equations
AU - Amaba, Takafumi
AU - Friedrich, Roland
AU - Murayama, Takuya
N1 - Funding Information:
We thank for the constructive comments we received and which helped us to improve and strengthen our presentation. The third author was supported by JSPS KAKENHI Grant Number JP19J13031 .
Publisher Copyright:
© 2020 Elsevier Inc.
PY - 2020/7/15
Y1 - 2020/7/15
N2 - We prove that a solution to the ω-controlled Loewner–Kufarev equation, which was introduced by the first two authors, exists uniquely, is univalent and starlike on the unit disk and can be extended holomorphically across the unit circle.
AB - We prove that a solution to the ω-controlled Loewner–Kufarev equation, which was introduced by the first two authors, exists uniquely, is univalent and starlike on the unit disk and can be extended holomorphically across the unit circle.
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U2 - 10.1016/j.jde.2020.02.011
DO - 10.1016/j.jde.2020.02.011
M3 - Article
AN - SCOPUS:85079371014
SN - 0022-0396
VL - 269
SP - 2697
EP - 2704
JO - Journal of Differential Equations
JF - Journal of Differential Equations
IS - 3
ER -