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Almost automorphic solutions to some classes of partial evolution equations |
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| Affiliation: | 1. Department of Mathematics, Howard University, 2441 6th Street N.W., Washington, DC 20059, USA;2. Department of Mathematics, Morgan State University, 1700 E. Cold Spring Lane, Baltimore, MD 21251, USA;3. University of Delaware, Department of Mathematical Sciences, Newark, DE 19716, USA |
| Abstract: | We give in this work some sufficient conditions for the existence and uniqueness of almost automorphic (mild) solutions to some classes of partial evolution equations. Then we use our abstract results to discuss the existence and uniqueness of almost automorphic solutions to some partial differential equations. |
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