Journal of the Korean Mathematical Society (대한수학회지)
- Volume 33 Issue 3
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- Pages.693-707
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- 1996
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- 0304-9914(pISSN)
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- 2234-3008(eISSN)
AN EXISTENCE OF THE INERTIAL MANIFOLD FOR NEW DOMAINS
- Kwean, Hyuk-Jin (Department of Mathematics Education College of Education Korea University )
- Published : 1996.08.01
Abstract
Consider a specific class of scalar-valued reaction diffusion equations of the form $$ (1.1) u_t = \nu\Delta u + f(u), u \in R $$ where $\nu$ < 0 is viscosity parameter and $f : R \to R$ is sufficiently smooth.