On stabilization of solutions of the Cauchy problem for parabolic equations. (English) Zbl 0899.35018
The author presents some of his results devoted to the problem of stabilization of solutions of the Cauchy problem for the heat equation and for second-order parabolic equations in divergence form. All these results were published earlier.
Reviewer: Georgii Sviridyuk (Chelyabinsk)
MSC:
| 35C20 | Asymptotic expansions of solutions to PDEs |
| 35K15 | Initial value problems for second-order parabolic equations |
| 35K05 | Heat equation |
References:
| [1] | Eidelman, S. D., Parabolic System (1964), Moscow · Zbl 0121.31902 |
| [2] | Kamin, S., (Proc. Roy. Soc. Edinburgh sect., A76 (1977)), 43-53 · Zbl 0346.35014 |
| [3] | Drozzinov, Y., (Proc. Akad. Science SU, 33 (1969)), 368-378 · Zbl 0179.14802 |
| [4] | Tikhonov, A. N., Mat. Sb., 42, 199-216 (1935) · JFM 61.1203.05 |
| [5] | Denisov, V. N., Dokl. Akad. Nauk USSR, 255, 1310-1312 (1980) |
| [6] | Denisov, V. N., Differentsial’nye Uravnenia, 18, 290-305 (1982) · Zbl 0487.35044 |
| [7] | Denisov, V. N., Differentsial’nye Uravnenia, 18, 7-16 (1982) |
| [8] | Denisov, V. N., Dokl. Akad. Nauk USSR, 262, 785-786 (1982) |
| [9] | Denisov, V. N., Dokl. Akad. Nauk of Russia, 340, 736-738 (1995) |
| [10] | Denisov, V. N., Dokl. Akad. Nauk of Russia, 340, 587-588 (1995) |
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