Generalized Cole–Hopf Transformation
- Авторлар: Anikonov Y.1,2, Neshchadim M.1,2
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Мекемелер:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Шығарылым: Том 12, № 3 (2018)
- Беттер: 409-416
- Бөлім: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/213078
- DOI: https://doi.org/10.1134/S199047891803002X
- ID: 213078
Дәйексөз келтіру
Аннотация
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.
Негізгі сөздер
Авторлар туралы
Yu. Anikonov
Sobolev Institute of Mathematics; Novosibirsk State University
Хат алмасуға жауапты Автор.
Email: anikon@math.nsc.ru
Ресей, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090
M. Neshchadim
Sobolev Institute of Mathematics; Novosibirsk State University
Email: anikon@math.nsc.ru
Ресей, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090