An Integral Two Space-Variables Condition for Parabolic Equations | Science Publications

Journal of Mathematics and Statistics

A. L. Marhoune¹  F. Lakhal¹ 

关键词: Integral boundary two space-variables condition;    energy inequalities;    weighted sobolev spaces;   

DOI  :  10.3844/jmssp.2012.185.190

学科分类：社会科学、人文和艺术（综合）

来源: Science Publications

【 摘 要 】

In this study, an integral two space-variables condition for a class of parabolic equations. The existence and uniqueness of the solution in the functional weighted Sobolev space were proved. The proof is based on two-sided a priori estimates and on the density of the range of the operator generated by the considered problem.

【 授权许可】

Unknown