학술저널
NONLINEAR HEAT EQUATIONS WITH TRANSCENDENTAL NONLINEARITY IN BESOV SPACES
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 23, No. 4
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2010.12773 - 784 (12 pages)
- 2
The existence of solutions in Besov spaces for nonlinear heat equations having transcendental nonlinearity: @ @tu ¡ ¢u = F(u) is investigated. In particular, it is proved the local existence and blow-up phenomena of the solutions in Besov spaces for nonlinear heat equations corresponding to two transcendental nonlinear func-tions F(u) ´ jujeu2 and F(u) ´ eu of rapid growth.
1. Introduction
2. Preliminaries and a priori estimates
3. Main theorems
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