We first prove local versions of the Poincare inequality for solutions to the Á-harmonic equation. Then, as applications of the local results, we obtain the global versions of the Poincare inequality for solutions to the A-harmonic equation śŽ . s in L , 0 -averaging domains and L -averaging domains
✦ LIBER ✦
Global poincaré inequalities for green's operator applied to the solutions of the nonhomogeneous A-harmonic equation
✍ Scribed by Yong Wang; Wu Congxin
- Book ID
- 108076911
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 515 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0898-1221
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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 estima