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| 研究生： |
王琪仁 |
|---|---|
| 論文名稱： |
Forward and backward self-similar solutions for a nonlinear parabolic equation |
| 指導教授： | 郭忠勝 |
| 學位類別： |
碩士 Master |
| 系所名稱： |
數學系 Department of Mathematics |
| 論文出版年： | 2004 |
| 畢業學年度： | 92 |
| 語文別： | 英文 |
| 論文頁數： | 28 |
| 英文關鍵詞： | self-similar solutions, nonlinear parabolic equation |
| 論文種類： | 學術論文 |
| 相關次數： | 點閱：118 下載：5 |
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[1] C.J. Budd and Y.-W. Qi, The existence of bounded solutions of a semilinear elliptic
equation, J. Di . Eqns. 82 (1989), 207-218.
[2] V.A. Galaktionov, J.L. Vazquez, Continuation of Blowup Solutions of Nonlinear
Heat Equations in Several Space Dimensions, Comm. Pure Applied Math. 50 (1997),
1-67.
[3] Y. Giga, On elliptic equations related to self-similar equation for a nonlinear heat
equations, Hiroshima Math. J. 16 (1986), 539-552.
[4] J.-S. Guo, Y.-J. Lin Guo, and J.-C. Tsai, Single-point blow-up patterns for a non-
linear parabolic equation, Nonlinear Analysis 53 (2003), 1149-1165.
[5] Y.-J. Lin Guo, The forward self-similar equation for a nonlinear parabolic equation,
Bulletin of the Institue of Mathematics, Academia Sinica 30 (2002), 229-238.
[6] Y.-W. Qi, The self-similar solution to a fast di usion equation, Z. Angew. Math.
Phys. 45 (1994), 914-932.
[7] A.A. Samarskii, V.A. Galaktionov, S.P. Kurdyumov, A.P. Mikhailov, "Blow-up in
Quasi-linear Parabolic Equations", Berlin, De Gruyter, 1995.
[8] W.C. Troy, The existence of bounded solutions of a semilinear heat equation, SIAM
J. Math. Anal. 18 (1987), 332-336.