Shakhmurov, Veli B.2024-05-252024-05-25201201687-277010.1186/1687-2770-2012-462-s2.0-84866654996https://doi.org/10.1186/1687-2770-2012-46https://hdl.handle.net/20.500.14517/581The 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 studied. AMS: 34G10; 35B45; 35B60.eninfo:eu-repo/semantics/openAccessCarleman estimatesunique continuationembedding theoremsBanach-valued function spacesdifferential operator equationsmaximal L-p-regularityoperator-valued Fourier multipliersinterpolation of Banach spacesArticleQ1Q2WOS:000304617800001