10 citations · 12 across the 6 of their papers we have counts for
6 papers
Extension of Solutions to Holomorphic Partial Differential Equations
Jonathan Armel, Peter Ebenfelt
Given a strictly pseudoconvex domain G and a linear partial differential operator P with holomorphic coefficients, we derive sufficient conditions for the existence of a solution t…
The Goursat problem for a generalized Helmholz operator in the plane
Peter Ebenfelt, Hermann Render
We consider the Goursat problem in the plane for partial differential operators whose principal part is the th power of the standard Laplace operator. The data is posed on a uni…
On the mixed Cauchy problem with data on singular conics
Peter Ebenfelt, Hermann Render
We consider a problem of mixed Cauchy type for certain holomorphic partial differential operators whose principal part essentially is the (complex) Laplace operator to…
The equivalence problem and rigidity for hypersurfaces embedded into hyperquadrics
P. Ebenfelt, X. Huang, D. Zaitsev
We consider the class of Levi nondegenerate hypersurfaces in $\bC^{n+1}$ that admit a local (CR transversal) embedding, near a point , into a standard nondegenerate hyp…
An inverse problem for the double layer potential
P. Ebenfelt, D. Khavinson, H. S. Shapiro
We consider an inverse problem for the double layer potential which can be formulated, somewhat loosely, as follows. For which smoothly bounded domains D in Euclidian space does th…
Normal forms and biholomorphic equivalence of real hypersurfaces in C^3
Peter Ebenfelt
We consider the problem of describing the local biholomorphic equivalence class of a real-analytic hypersurface at a distinguished point by giving a normal form for…