Ebenfelt, PeterPeterEbenfeltRender, HermannHermannRender2014-03-282014-03-282008 OUP2008-08Journal of the London Mathematical Societyhttp://hdl.handle.net/10197/5501We consider a problem of mixed Cauchy type for certain holomorphic partial differential operators with the principal part Q2p(D) essentially being the (complex) Laplace operator to a power, Δp. We provide inital data on a singular conic divisor given by P = 0, where P is a homogeneous polynomial of degree 2p. We show that this problem is uniquely solvable if the polynomial P is elliptic, in a certain sense, with respect to the principal part Q2p(D).enPartial differential operatorsCauchy problemJournal Article78124826610.1112/jlms/jdn0282014-03-01https://creativecommons.org/licenses/by-nc-nd/3.0/ie/