Open AccessThe explicit general solution of trivial Monge-Amp�re equation
Author(s) -
В. Н. Ушаков
Publication year - 2000
Publication title -
commentarii mathematici helvetici
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.603
H-Index - 46
eISSN - 1420-8946
pISSN - 0010-2571
DOI - 10.1007/s000140050115
Subject(s) - mathematics , gravitational singularity , smoothness , domain (mathematical analysis) , planar , variable (mathematics) , mathematical analysis , pure mathematics , monge–ampère equation , computer science , computer graphics (images)
. The general solution of the equation with minimal smoothness requirements is presented in explicit form; it depends on 2 functions of one variable. In particular, it allows to describe explicitly all developable surfaces (without planar points) in . The domain and singularities of the solution are investigated.
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