Existence of Solutions for a Class of Infinitely Degenerate Parabolic Equations
Ke LIHua CHEN
Author information+
Department of Mathematics, Zhengzhou UniversityInstitute of Mathematics, Wuhan University, Wuhan 430072, P. R. China
{{custom_zuoZheDiZhi}}
{{custom_authorNodes}}
{{custom_bio.content}}
{{custom_bio.content}}
{{custom_authorNodes}}
Collapse
文章历史+
收稿日期
修回日期
出版日期
2007-05-08
1900-01-01
2008-11-15
发布日期
2008-11-15
摘要
设是一组无穷阶退化向量场,
,
其中是的形式自伴算子.
运用不动点理论得到抛物方程解的存在性.
Abstract
Let be an infinitely
degenerate system of vector fields,
, where is the
formal adjoint of . By employing the fixed point theorem,
we obtain the existence of solutions to the degenerate parabolic
equation
Ke LIHua CHEN.
Existence of Solutions for a Class of Infinitely Degenerate Parabolic Equations. Acta Mathematica Sinica, Chinese Series, 2008, 51(6): 1089-109 https://doi.org/10.12386/A2008sxxb0126