Journal of the Korean Mathematical Society (대한수학회지)
- Volume 33 Issue 2
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- Pages.333-346
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- 1996
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- 0304-9914(pISSN)
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- 2234-3008(eISSN)
CONTROLLABILITY OF NONLINEAR DELAY PARABOLIC EQUATIONS UNDER BOUNDARY CONTROL
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Park, Jong-Yeoul
(Department of Mathematics Pusan National University ) ;
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Kwun, Young-Chel
(Department of Mathematics Dong-A University ) ;
- Jeong, Jin-Mun (Department of Natural Sciences Pusan National University of Technology)
- Published : 1996.05.01
Abstract
Let $A(\zeta, \partial)$ be a second order uniformly elliptic operator $$ A(\zeta, \partial )u = -\sum_{j, k = 1}^{n} \frac{\partial\zeta_i}{\partial}(a_{jk}(\zeta)\frac{\partial\zeta_k}{\partial u}) + \sum_{j = 1}^{n}b_j(\zeta)\frac{\partial\zeta_j}{\partial u} + c(\zeta)u $$ with real, smooth coefficients $a_{j, k}, b_j$, c defined on $\zeta \in \Omega, \Omega$ a bounded domain in $R^n$ with a sufficiently smooth boundary $\Gamma$.