On the Cauchy problem for multidimensional Monge-Ampère equations
---Publisher, magazine: ,
Publication year: 2004
Lưu Trích dẫn Chia sẻAbstract
The Cauchy problem for Monge-Amp`ere equations with several variables is formulated and reduced to that for a normal system of first-order nonlinear partial differential equations. The noncharacteristic condition for the Cauchy problem of multidimensional Monge-Amp`ere is given. The local solvability of the noncharacteristic Cauchy problem for these equations in the class of analytic functions is proved.
Tags: Monge-Amp`ere equation, Cauchy problem, noncharacteristic Cauchy data.
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