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| Abstract Elliptic Equations with Integral Boundary Conditons |
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Citation： |
Veli SHAKHMUROV.Abstract Elliptic Equations with Integral Boundary Conditons[J].Chinese Annals of Mathematics B,2016,37(4):625~642 |
| Page view： 1820
Net amount： 1121 |
Authors： |
Veli SHAKHMUROV; |
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| Abstract： |
This paper focuses on nonlocal integral boundary value problems for
elliptic differential-operator equations. Here given conditions
guarantee that maximal regularity and Fredholmness in $L_{p}$
spaces. These results are applied to the Cauchy problem for abstract
parabolic equations, its infinite systems and boundary value
problems for anisotropic partial differential equations in mixed
$L_{\mathbf{p}}$ norm. |
Keywords： |
Boundary value problems, Integral boundary conditions,
Differential-operator equations, Maximal $L_{p}$ regularity,
Abstract parabolic equation, Operator valued multipliers,
Interpolation of Banach spaces, Semigroups of operators
\end{tabular} |
Classification： |
34G10, 35J25, 35J70 |
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