Uniqueness and stability of solutions without the boundary condition

Boundary Value Problems

Huashui Zhan¹ 

[1] School of Applied Mathematics, Xiamen University of Technology;

关键词: p-Laplacian;    Existence;    Uniqueness;    Stability;   

DOI  :  10.1186/s13661-019-1139-7

来源: DOAJ

【 摘 要 】

Abstract A parabolic equation related to the p-Laplacian is considered. If the equation is degenerate on the boundary, then demonstrating the regularity on the boundary is difficult, the trace on the boundary cannot be defined, in general. The existence and uniqueness of weak solutions are researched. Based on uniqueness, the stability of solutions can be proved without any boundary condition.

【 授权许可】

Unknown