Shakhmurov, Veli B.2024-05-252024-05-252011097807354095690094-243X10.1063/1.36368102-s2.0-81855176484https://doi.org/10.1063/1.3636810https://hdl.handle.net/20.500.14517/567The unique continuation theorems for elliptic differential-operator equations with variable coefficients in vector-valued L-p-space are investigated. The operator-valued multiplier theorems, maximal regularity properties and the Carleman estimates for the equations are employed to obtain these results. In applications the unique continuation theorems for quasielliptic partial differential equations and finite or infinite systems of elliptic equations are established.eninfo:eu-repo/semantics/closedAccessCarleman EstimatesUnique ContinuationEmbedding TheoremsAbstract Function SpacesDifferential Operator EquationsMaximal L-p-RegularityConference ObjectQ41389WOS:000302239800156