
#1
Sep2211, 04:16 PM

P: 1

Hi. I am taking a PDE class and struggling a little. The professor gave us this problem to practice:
Find a function a = a(x,y) continuous such that for the equation $u_y + a(x,y) u_x = 0 $ there does not exist a solution in all of $R^2$ for any nonconstant initial value defined on the hyperplane ${(x,0)}$ I thought that in order to find such a function I needed to make the hyperplane characteristic at all points, but that got me nowhere. Please help me find a direction. Any help would be much appreciated! Thanks in advance! 


Register to reply 
Related Discussions  
What reaction yields 6Li?  High Energy, Nuclear, Particle Physics  2  
Solving ODE to find general solution  Calculus & Beyond Homework  9  
Solving an equation and checking solution  Precalculus Mathematics Homework  2  
Solving for t in SHM (complex solution)  Introductory Physics Homework  4  
Stoichiometry and Yields  Biology, Chemistry & Other Homework  1 