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Existence and uniqueness of global solutions for the parabolic equation of the bi-harmonic type

โœ Scribed by Tor A. Kwembe

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
614 KB
Volume
47
Category
Article
ISSN
0362-546X

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โœฆ Synopsis

This paper is a study of the existence and uniqueness of weak global smooth solutions of the parabolic equation of the bi-harmonic type in the Zheng-Li Banach space. The techniques employed in achieving the desired results uses the Sobolev inequalities and a combination of the standard energy estimate and the decay rates of the solution of the corresponding linear homogeneous equation. I have also given some standard a priori properties and estimates of the fundamental solution of the bi-harmonic equation.

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