On the intermediate integral for Monge-Ampere equations

Details On the intermediate integral for Monge-Ampere equations On the intermediate integral for Monge-Ampere equations

1998-04-06

arxiv.org/abs/math/9804029v1

Mathematics

Analysis of PDEs

5 pages

Scientific paper

Goursat showed that in the presence of an intermediate integral, the problem of solving a second-order Monge-Ampere equation can be reduced to solving a first-order equation, in the sense that the generic solution of the first-order equation will also be a solution of the original equation. An attempt by Hermann to give a rigorous proof of this fact contains an error; we show that there exists an essentially unique counterexample to Hermann's assertion and state and prove a correct theorem.

Affiliated with

Also associated with

No associations

Rating

On the intermediate integral for Monge-Ampere equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the intermediate integral for Monge-Ampere equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the intermediate integral for Monge-Ampere equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-434137