Existence analysis of an optimal shape design problem with non coercive state equation |
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Institution: | 1. School of Basic Sciences, Changchun University of Technology, Changchun 130012, PR China;2. Institute of Mathematics, Jilin University, Changchun 130012, PR China;3. College of Science, Shenyang University of Technology, Shenyang 110870, PR China |
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Abstract: | In this paper, a shape optimization problem, modelling a welding process, governed by a second order non coercive PDE is considered. The well posedness of the shape optimal design problem is showed using the degree of Leray–Schauder. Then the existence of an optimal solution is proved. |
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Keywords: | Free boundary Shape optimization Non coercive state problem Existence result |
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