[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2005.42.4.829

NEGATIVELY BOUNDED SOLUTIONS FOR A PARABOLIC PARTIAL DIFFERENTIAL EQUATION

FANG ZHONG BO (DEPARTMENT OF MATHEMTICS, CHONNAM NATIONAL UNIVERSITY)
KWAK, MIN-KYU (DEPARTMENT OF MATHEMTICS, CHONNAM NATIONAL UNIVERSITY)

Publication Information

Bulletin of the Korean Mathematical Society / v.42, no.4, 2005 , pp. 829-836 More about this Journal

Abstract

In this note, we introduce a new proof of the unique-ness and existence of a negatively bounded solution for a parabolic partial differential equation. The uniqueness in particular implies the finiteness of the Fourier spanning dimension of the global attractor and the existence allows a construction of an inertial manifold.

Keywords

a parabolic differential equation; existence and uniqueness; attractor; inertial manifold;

Citations & Related Records

Reference

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