On Maximal solutions of the Cauchy initial value problem (for integral manifolds of non-involutive distributions) /
Peter L. Dombrowski, Massachusetts Institute of Technology, Department of Mathematics.

Description

Main Author

Dombrowski, Peter L.

Related Names

Massachusetts Institute of Technology.
United States. Air Force.

Language(s)

English

Published

[Washington, D.C.] : Air Force Office of Scientific Research, Air Research and Development Command, United States Air Force, 1961.

Subjects

Manifolds (Mathematics)
Cauchy problem > Cauchy problem / Numerical solutions.
Cauchy problem > Cauchy problem / Numerical solutions.
Manifolds (Mathematics)

Summary

This paper is mainly concerned with the problem of determing integral manifolds of non-involutive distribution on manifolds, more precisely how to obtain by the methods of Cauchy characteristics from a given "initial", low dimensional integral manifold a higher dimensional integral manifold, which includes the initial one, and our main objective is to investigate, under which conditions one may bet by this procedure a "maximal" integral manifold.

Note

Prepared on Contract No. AF 49(638)-42.
Research supported by the United States Air Force, and performed by the Massachusetts Institute of Technology.
"June 1961."

Physical Description

[1], 33 leaves ; 28 cm.

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