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Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie, 2013, Volume 6, Issue 2, Pages 128–132
(Mi vyuru25)
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Short Notes
Inverse problem for a linearized quasi-stationary phase field model with degeneracy
N. D. Ivanova Chelyabinsk State University, Chelyabinsk, Russian Federation
Abstract:
The inverse problem for a linearized quasi-stationary phase field model is considered. The inverse problem is reduced to a linear inverse problem for the first order differential equation in a Banach space with a degenerate operator at the derivative and an overdetermination condition on the degeneracy subspace. The unknown parameter in the problem dependens on the source time function. The theorem of existence and uniqueness of classical solutions is proved by methods of degenerate operator semigroup theory at some additional conditions on the operator. General results are applied to the original inverse problem.
Keywords:
inverse problem, phase field model, Sobolev type equation, degenerate operator, operator semigroup, Banach spaces.
Received: 26.02.2013
Citation:
N. D. Ivanova, “Inverse problem for a linearized quasi-stationary phase field model with degeneracy”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 6:2 (2013), 128–132
Linking options:
https://www.mathnet.ru/eng/vyuru25 https://www.mathnet.ru/eng/vyuru/v6/i2/p128
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Abstract page: | 169 | Full-text PDF : | 75 | References: | 31 | First page: | 2 |
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