Separable anisotropic differential operators and applications |
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| Authors: | Veli B Shakhmurov |
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| Institution: | Istanbul University, Engineering Faculty, Department of Electrical and Electronics Engineering, Avcilar, 34320 Istanbul, Turkey |
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| Abstract: | The nonlocal boundary value problems for anisotropic partial differential-operator equations with a dependent coefficients are studied. The principal parts of the appropriate generated differential operators are nonself-adjoint. Several conditions for the maximal regularity and the fredholmness in Banach-valued Lp-spaces of these problems are given. These results permit us to establish that the inverse of corresponding differential operators belongs to Schatten q-class. Some spectral properties of the operators are investigated. In applications, the nonlocal BVP's for quasielliptic partial differential equations and for systems of quasielliptic equations on cylindrical domain are studied. |
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| Keywords: | Boundary value problems Separable BVP's Differential-operator equations Banach-valued function spaces Operator-valued multipliers Interpolation of Banach spaces Semigroup of operators |
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