Parameterized Stationary Solution for first order PDE

Details Parameterized Stationary Solution for first order PDE Parameterized Stationary Solution for first order PDE

2012-03-08

arxiv.org/abs/1203.1738v1

Mathematics

Analysis of PDEs

9 pages,accepted for publication in Mathematical Reports

Scientific paper

We analyze the existence of a parameterized stationary solution $z(\lambda,z_0)=\big(x(\lambda,z_0), p(\lambda,z_0),\,u(\lambda,z_0)\big)\in D\subseteq\mathbb{R}^{2n+1},\,\lambda\in B(0,a)\subseteq\mathop{\prod}\limits_{i=1}^{m}[-a_i,a_i]$, associated with a nonlinear first order PDE, $H_0(x,p(x),u(x))=\hbox{constant}\,\,(p(x)=\partial_x u(x))$ relying on (a) first integral $H\in\mathcal{C}^\infty\big(B(z_0,2\rho)\subseteq\mathbb{R}^{2n+1}\big)$ and the corresponding Lie algebra of characteristic fields is of the finite type; (b) gradient system in a Lie algebra finitely generated over orbits $(f.g.o;z_0)$ starting from $z_0\in D$ and their nonsingular algebraic representation.

Affiliated with

Also associated with

No associations

Rating

Parameterized Stationary Solution for first order PDE 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 Parameterized Stationary Solution for first order PDE, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Parameterized Stationary Solution for first order PDE will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-17054