Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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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)
  • Published : 2005.11.01
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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.

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References

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