[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2010.23.4.773

NONLINEAR HEAT EQUATIONS WITH TRANSCENDENTAL NONLINEARITY IN BESOV SPACES

Pak, Hee Chul (Department of Applied Mathematics and Institute of Basic Sciences Dankook University)
Chang, Sang-Hoon (Department of Applied Mathematics Dankook University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.23, no.4, 2010 , pp. 773-784 More about this Journal

Abstract

The existence of solutions in Besov spaces for nonlinear heat equations having transcendental nonlinearity: $\frac{\partial}{{\partial}t}u-{\Delta}u=F(u)$ 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 functions $F(u){\equiv}{\mid}u{\mid}e^{u^2}$ and $F(u){\equiv}e^u$ of rapid growth.

Keywords

existence of solution; uniqueness of solution; nonlinear heat equation; Besov spaces; blow-up of solutions;

Citations & Related Records

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