Schauder estimates for parabolic equation of bi-harmonic type |
| |
Authors: | Yao Feng-ping Zhou Shu-lin |
| |
Institution: | LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China |
| |
Abstract: | Global Schauder estimates for the initial-value parabolic problem of the bi-harmonic type are proved,and the existence and uniqueness of the solutions in the suitable space are obtained.Similarly to the second-order case,first a formal expression of solutions by the Fourier transform is obtained,and then the regularity,uniqueness and existence of solutions using the potential theory and approximation argument are got. out approach is simple and straightforward. |
| |
Keywords: | bi-harmonic parabolic Schauder estimates existence uniqueness |
本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录! |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学(英文版)》下载免费的PDF全文 |