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19932026
most citedSpreading and vanishing in nonlinear diffusion problems with free boundaries

217 citations

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7 papers · 1 filter

math.CV2016

Normal forms of para-CR hypersurfaces

Alessandro Ottazzi, Gerd Schmalz

We consider hypersurfaces of finite type in a direct product space , which are analogues to real hypersurfaces of finite type in …

math.CV2013★ 6 cited

Explicit description of spherical rigid hypersurfaces in C^2

Vladimir Ezhov, Gerd Schmalz

We provide an explicit description of all rigid hypersurfaces that are equivalent to a Heisenberg sphere. These hypersurfaces are determined by 4 real parameters. The defining equa…

math.CV2011

A generalization of Forelli's theorem

Jae-Cheon Joo, Kang-Tae Kim, Gerd Schmalz

The purpose of this paper is to present a generalization of Forelli's theorem. In particular, we prove an all dimensional version of the two-dimensional theorem of Chirka of 2005.

math.CV2008★ 14 cited

Functions holomorphic along holomorphic vector fields

Kang-Tae Kim, Evgeny Poletsky, Gerd Schmalz

The main result of the paper is the following generalization of Forelli's theorem: Suppose F is a holomorphic vector field with singular point at p, such that F is linearizable at…

math.CV2007

Branch structure of J-holomorphic curves near periodic orbits of a contact manifold

Adam Harris, Krzysztof Wysocki

Let be a three-dimensional contact manifold and a finite-energy pseudoholomorphic map from a punctured disc in , that is asympt…

math.CV2005★ 1 cited

Elliptic CR-manifolds and shear invariant ODE with additional symmetries

Vladimir Ezhov, Gerd Schmalz

We classify the ODEs that correspond to elliptic CR-manifolds with maximal isotropy. It follows that the dimension of the isotropy group of an elliptic CR-manifold can be only 10 (…

math.CV2005★ 33 cited

Canonical Cartan connection and holomorphic invariants on Engel CR manifolds

Valerii Beloshapka, Vladimir Ezhov, Gerd Schmalz

We describe a complete system of invariants for 4-dimensional CR manifolds of CR dimension 1 and codimension 2 with Engel CR distribution by constructing an explicit canonical Cart…