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| Maximal B-Regular Integro-Differential Equation |
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Citation： |
Veli SHAKHMUROV,Rishad SHAHMUROV.Maximal B-Regular Integro-Differential Equation[J].Chinese Annals of Mathematics B,2009,(1):39~50 |
| Page view： 2697
Net amount： 2110 |
Authors： |
Veli SHAKHMUROV; Rishad SHAHMUROV; |
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| Abstract： |
By using Fourier multiplier theorems, the maximal B-regularity of ordinary
integro-differential operator equations is investigated. It is shown that the corresponding
differential operator is positive and satisfies coercive estimate. Moreover, these results are
used to establish maximal regularity for infinite systems of integro-differential equations. |
Keywords： |
Banach-valued Besov spaces, Operator-valued multipliers,
Boundary value problems, Integro-differential equations |
Classification： |
34G10, 35J25, 35J70 |
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