| Carleman estimates and unique continuation property for the anisotropic differential-operator equations |
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| 作者单位： | Department of |
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| 摘 要： | The unique continuation theorems for the anisotropic partial differential-operator equations with variable coeffcients in Banach-valued Lp-spaces are studied.To obtain the uniform maximal regularity and the Carleman type estimates for parameter depended differential-operator equations,the suffcient conditions are founded.By using these facts,the unique continuation properties are established.In the application part,the unique continuation properties and Carleman estimates for finite or infinite systems of quasielliptic partial differential equations are studied.
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Carleman estimates and unique continuation property for the anisotropic differential-operator equations |
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| Authors: | Veli B Shakhmurov |
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| Institution: | (1) Department of Mathematics, Okan University, 34959 Akfirat, Tuzla, Istanbul, Turkey |
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| Abstract: | The unique continuation theorems for the anisotropic partial differential-operator equations with variable coeffcients in Banach-valued Lp-spaces are studied.To obtain the uniform maximal regularity and the Carleman type estimates for parameter depended differential-operator equations,the suffcient conditions are founded.By using these facts,the unique continuation properties are established.In the application part,the unique continuation properties and Carleman estimates for finite or infinite systems of quasielliptic partial differential equations are studied. |
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| Keywords: | Carleman estimates unique continuation embedding theorems Banach-valued function spaces differential operator equations maximal Lp-regularity operator-valued Fourier multipliers interpolation of Banach spaces |
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