Maximal B-regular boundary value problems with parameters |
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Authors: | Veli B Shakhmurov |
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Institution: | Istanbul University, Engineering Faculty, Department of Electrical-Electronics Engineering, Avcilar, 34320 Istanbul, Turkey |
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Abstract: | This study focuses on non-local boundary value problems (BVP) for elliptic differential-operator equations (DOE) defined in Banach-valued Besov (B) spaces. Here equations and boundary conditions contain certain parameters. This study found some conditions that guarantee the maximal regularity and fredholmness in Banach-valued B-spaces uniformly with respect to these parameters. These results are applied to non-local boundary value problems for a regular elliptic partial differential equation with parameters on a cylindrical domain to obtain algebraic conditions that guarantee the same properties. |
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Keywords: | Boundary value problems (BVP) Differential-operator equations (DOE) Maximal regular BVP Banach-valued Besov spaces Operator-valued multipliers Interpolation of Banach spaces |
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