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
โฆ LIBER โฆ
A concise proof for existence and uniqueness of solutions of linear parabolic PDEs in the context of optimal control
โ Scribed by Schiela, Anton
- Book ID
- 121296541
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 387 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0167-6911
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In this paper, we investigate a class of pseudo-parabolic equations. Such equations model two-phase flow in porous media where dynamic effects are included in the capillary pressure. The existence and uniqueness of a weak solution are proved, and error estimates for an Euler implicit time discretiza