Abstract
In this paper, we consider type-changing equations for one unknown function of two variables by using the theory of differential systems. We give fundamental properties and provide a notion of geometric solutions from a viewpoint of contact geometry of second order. Moreover, we study the structure of associated overdetermined systems and obtain an existence condition of solutions of a special class which are called parabolic solutions of type-changing equations.
Citation
Takahiro Noda. Kazuhiro Shibuya. "Second order type-changing equations for a scalar function on a plane." Osaka J. Math. 49 (1) 101 - 124, March 2012.
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