an:07216738
Zbl 1442.35007
Campana, C.; Hounie, J.
Strong uniqueness results for first-order planar equations
EN
J. Differ. Equations 269, No. 10, 7792-7824 (2020).
00450468
2020
j
35A02 35F10 30G20 35J70
locally integral vector fields, similarity principle, Riesz's uniqueness theorem
Summary: We discuss strong uniqueness results in the forward Cauchy Problem for a class of complex fist-order equations with H??lder coefficients defined in the plane. We use an appropriate variant of the similarity principle in order to reduce the original question to a local version of Riesz's uniqueness theorem for holomorphic functions.