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Strong uniqueness results for first-order planar equations. (English) Zbl 1442.35007
Summary: We discuss strong uniqueness results in the forward Cauchy Problem for a class of complex fist-order equations with Hölder 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.
##### MSC:
 35A02 Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness 35F10 Initial value problems for linear first-order PDEs 30G20 Generalizations of Bers and Vekua type (pseudoanalytic, $$p$$-analytic, etc.) 35J70 Degenerate elliptic equations
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