TY - JOUR
T1 - Strong unique continuation for the Lamé system with less regular coefficients
AU - Davey, Blair
AU - Lin, Ching Lung
AU - Wang, Jenn Nan
N1 - Funding Information:
Part of this research was carried out while the first author was visiting the National Center for Theoretical Sciences (NCTS) at National Taiwan University. The first author wishes to thank the NCTS for their financial support and their kind hospitality during her visit to Taiwan.
Funding Information:
Davey is supported in part by the Simons Foundation Grant number 430198. Lin is partially supported by the Ministry of Science and Technology of Taiwan. Wang is supported in part by the Ministry of Science and Technology, Taiwan (MOST 108-2115-M-002-002-MY3).
Funding Information:
Part of this research was carried out while the first author was visiting the National Center for Theoretical Sciences (NCTS) at National Taiwan University. The first author wishes to thank the NCTS for their financial support and their kind hospitality during her visit to Taiwan.
Publisher Copyright:
© 2020, Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2021/10
Y1 - 2021/10
N2 - We study the strong unique continuation property (SUCP) for the Lamé system in the plane. The main contribution of our work is to prove that the SUCP holds when Lamé coefficients (μ, λ) ∈ W2,s(Ω) × L∞(Ω) for some s> 4 / 3. In other words, we establish the SUCP for the Lamé system in the plane when λ is bounded and μ belongs to certain Hölder classes.
AB - We study the strong unique continuation property (SUCP) for the Lamé system in the plane. The main contribution of our work is to prove that the SUCP holds when Lamé coefficients (μ, λ) ∈ W2,s(Ω) × L∞(Ω) for some s> 4 / 3. In other words, we establish the SUCP for the Lamé system in the plane when λ is bounded and μ belongs to certain Hölder classes.
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U2 - 10.1007/s00208-020-02026-0
DO - 10.1007/s00208-020-02026-0
M3 - Article
AN - SCOPUS:85086736439
VL - 381
SP - 1005
EP - 1029
JO - Mathematische Annalen
JF - Mathematische Annalen
SN - 0025-5831
IS - 1-2
ER -