Degenerate Riccati Equations With Unbounded Coefficients Arising in Transport Theory

Juang Jonq*

*此作品的通信作者

研究成果: Article同行評審

摘要

Of concern is the degenerate Riccati equation of the form TR + RT = TA + TBR + RTC + RTDR (*). This models a certain transport equation in the half-space. Our first result will concern a unique, positive solution of the operator equation SR + RT = K in a Banach space equipped with a cone structure. We then proceed to prove existence of positive solutions for (*) on an LI space of sa-finite measure and a Banach space X, respectively, under different assumptions. Some estimates of the solution with respect to certain norms are obtained.

原文English
頁(從 - 到)305-321
頁數17
期刊Numerical Functional Analysis and Optimization
10
發行號3-4
DOIs
出版狀態Published - 1 1月 1989

指紋

深入研究「Degenerate Riccati Equations With Unbounded Coefficients Arising in Transport Theory」主題。共同形成了獨特的指紋。

引用此