RUS  ENG
Full version
JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN

Trudy Inst. Mat. i Mekh. UrO RAN, 2012, Volume 18, Number 2, Pages 114–122 (Mi timm813)

Application of characteristic series for constructing solutions of nonlinear parabolic equations and systems with degeneracy
A. L. Kazakov

References

1. Kupant R., Uravneniya s chastnymi proizvodnymi, Mip, M., 1964, 830 pp.  mathscinet
2. Babich V. M., “Ob elementarnykh resheniyakh giperbolicheskikh uravnenii”, Dokl. AN SSSR, 21:3 (1959), 479–481  mathscinet
3. Ludvig D., “Exact and asymptotic solutions of the Cauchy problem”, Comm. Pure Appl. Math., 13:3 (1960), 473–508  crossref  mathscinet
4. Dorodnitsyn A. A., “Nekotorye sluchai osesimmetrichnykh sverkhzvukovykh techenii gaza”, Sb. teoreticheskikh rabot po aerodinamike, Oborongiz, M., 1957, 77–88
5. Sidorov A. F., Izbrannye trudy: Matematika. Mekhanika, Fizmatlit, M., 2001, 576 pp.  mathscinet
6. Rubina L. I., “Priblizhennyi metod rascheta odnoi zadachi ob istechenii v vakuum s pomoschyu kharakteristicheskikh ryadov”, Metody resheniya kraevykh zadach mekhaniki sploshnoi sredy, UNTs AN SSSR, Sverdlovsk, 1978, 47–51
7. Filimonov M. Yu., “O primenenii spetsialnykh ryadov pri reshenii smeshannykh zadach dlya nelineinykh uravnenii v chastnykh proizvodnykh”, Analiticheskie i chislennye metody issledovaniya zadach mekhaniki sploshnoi sredy, UNTs AN SSSR, Sverdlovsk, 1987, 124–139  mathscinet
8. Filimonov M. Yu., Korzunin L. G., Sidorov A. F., “Approximate methods for solving nonlinear initial boundary-value problems based on special constructions of series”, Russian J. Numer. Anal. Math. Modelling, 8:2 (1993), 101–125  crossref  mathscinet  zmath  adsnasa
9. Oleinik O. A., Kalashnikov A. S., Chzhou Yui-lin, “Zadacha Koshi i kraevye zadachi dlya uravnenii tipa nestatsionarnoi filtratsii”, Izv. AN SSSR. Ser. mat., 22:5 (1958), 667–704  mathnet  mathscinet  zmath
10. Sidorov A. F., “Analiticheskie predstavleniya reshenii nelineinykh parabolicheskikh uravnenii tipa nestatsionarnoi filtratsii”, Dokl. AN SSSR, 280:1 (1985), 47–51  mathnet  mathscinet  zmath
11. Vaganova N. A., “Postroenie novykh klassov reshenii nelineinogo uravneniya filtratsii s pomoschyu spetsialnykh soglasovannykh ryadov”, Tr. In-ta matematiki i mekhaniki UrO RAN, 9, no. 2, 2003, 10–20  mathnet  mathscinet  zmath
12. Bautin S. P., Analiticheskaya teplovaya volna, Fizmatlit, M., 2003, 87 pp.
13. Kazakov A. L., “Primenenie obobschennogo metoda kharakteristicheskikh ryadov pri postroenii resheniya odnoi nachalno-kraevoi zadachi dlya sistemy kvazilineinykh uravnenii”, Tr. In-ta matematiki i mekhaniki UrO RAN, 16, no. 2, 2010, 91–108  mathnet
14. Kazakov A. L., “Iz pisma v redaktsiyu”, Tr. In-ta matematiki i mekhaniki UrO RAN, 16, no. 3, 2010, 285  mathnet
15. Titov S. S., Reshenie uravnenii s osobennostyami v analiticheskikh shkalakh banakhovykh prostranstv, UrGAKhA, Ekaterinburg, 1999, 264 pp.
16. Lykov A. V., Teoriya teploprovodnosti, Vysshaya shkola, M., 1967, 599 pp.  zmath


© Steklov Math. Inst. of RAS, 2026