Modified quasi-reversibility method for final value problems in Banach spaces |
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Authors: | Yongzhong Huang |
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Institution: | aDepartment of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, PR China |
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Abstract: | This paper is concerned with the final value problem associated with a linear operator A in a Banach space, where −A is the generator of a uniformly bounded analytic semigroup. Based on the deLaubenfels' functional calculus, we use new quasi-reversibility method, introduced by Boussetila and Rebbani recently, to form an approximate problem. We obtain some results in a Banach space similar to those in a Hilbert space. |
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Keywords: | Ill-posed problem Quasi-reversibility Functional calculus Analytic semigroup |
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