Abstract
(2) a(z )ζα ζβ ≥ λ|ζ|2 for all z ∈ Ω, ζ ∈ IR2. Note that according to standard elliptic regularity theory, the solution φ is a Holder continuous function in Ω (see e.g. [GT], Theorem 8.22). We shall study the local behavior of φ near a point z0 ∈ Ω, which we assume to be the origin, that is, z0 = 0 ∈ Ω. Our main concern is to prove the following unique continuation property under the stated assumptions:
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
