Email this article Generalized Cole–Hopf Transformation
- Authors: Anikonov Y.E.1,2, Neshchadim M.V.1,2
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Affiliations:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Issue: Vol 12, No 3 (2018)
- Pages: 409-416
- Section: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/213078
- DOI: https://doi.org/10.1134/S199047891803002X
- ID: 213078
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Abstract
On the basis of generalization of the Cole–Hopf transformation for parabolic equations with a source, we obtain some new representations of solutions and coefficients of nonlinear parabolic equations of mathematical physics which in fact are differential-algebraic identities. These representations can be used in studying the multidimensional direct and inverse problems.
About the authors
Yu. E. Anikonov
Sobolev Institute of Mathematics; Novosibirsk State University
Author for correspondence.
Email: anikon@math.nsc.ru
Russian Federation, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090
M. V. Neshchadim
Sobolev Institute of Mathematics; Novosibirsk State University
Email: anikon@math.nsc.ru
Russian Federation, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090
