On the Unique Solvability of a Volevic System of Linear Equations with General Singularity
Jose Ernie C. LopeUniversity of the Philippines, Quezon City, Philippines
José Maria L. Escaner IVUniversity of the Philippines, Quezon City, Philippines
Carlene P. ArceoUniversity of the Philippines, Quezon City, Philippines
We consider a Volevic system of linear partial differential equations with general singularity, for which we establish existence and uniqueness theorems that are analogues of the Cauchy-Kowalevsky and Holmgren Theorems. Our results are generalizations of those of J. Elschner [Beiträge Anal. 12 (1978) 185--198], J. E. C. Lope [J. Math. Sci. Univ. Tokyo 6 (1999) 527--538] and H. Tahara [J. Math. Soc. Japan 34 (1982) 279--288], which are in turn generalizations of the results of M. S. Baouendi and C. Goulaouic [Comm. Pure Appl. Math. 26 (1973) 455--475].
Cite this article
Jose Ernie C. Lope, José Maria L. Escaner IV, Carlene P. Arceo, On the Unique Solvability of a Volevic System of Linear Equations with General Singularity. Z. Anal. Anwend. 24 (2005), no. 2, pp. 317–326DOI 10.4171/ZAA/1242