Representations for the solutions and coefficients of evolution equations |
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| Authors: | Yu. E. Anikonov M. V. Neshchadim |
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| Affiliation: | 1. Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia
2. Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia
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| Abstract: | We give new representations for the solutions and coefficients of evolution equations in the linear case. The obtained formulas contain some functional arbitrariness that can be used in identification problems. We also give classes of hyperbolic equations that admit the generalized functionally invariant solutions. |
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