http://swrc.ontoware.org/ontology#UnrefereedArticle
Existence and Uniqueness Theorems for a Class of Linear Fuchsian Partial Differential Equations
en
Lope Jose Ernie C.
We will consider linear Fuchsian partial differential operators of the form $\PP = (tD_t)^m + \sum_{j=0}^{m-1}\sum_{|α|\leq m-j} a_{j,α}(t,z)\cdot (μ(t)D_z)^α (tD_t)^j .$ For this class of operators, we will formulate existence and uniqueness theorems which are slightly more general than the ones obtained by Baouendi and Goulaouic in 1973. We will specify some properties of the function $μ(t)$ and assert that a property is necessary for our theorems to hold.
Journal of mathematical sciences, the University of Tokyo
6
3
527-538
1999
13405705
AA11021653
application/pdf
415
Graduate School of Mathematical Sciences, The University of Tokyo