Univalence and holomorphic extension of the solution to $\omega$-controlled Loewner-Kufarev equations

Takafumi Amaba, Roland Friedrich, Takuya Murayama

We prove that a solution to the $\omega$-controlled Loewner-Kufarev equation, which was introduced by the first two authors, exists uniquely, is univalent and starlike on the unit disk…