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MathGroup Archive 1999

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telling DSolve to satisfy boundary conditions?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg16013] telling DSolve to satisfy boundary conditions?
  • From: kenton at leland.Stanford.EDU (Kenton K. Yee)
  • Date: Sat, 20 Feb 1999 02:52:04 -0500
  • Organization: Graduate School Of Business, Stanford University
  • Sender: owner-wri-mathgroup at wolfram.com

Is it always possible to solve a second order pde on
a compact set for any set of boundary conditions?

For instance, I am interested in the following pde:

  v=v[c,f]
  v,cc  +  ( R f + c - Q ) v,f  -  n c v,c  - R v = 0

on the region   0 < c
                0 < f0 < f
with the boundary condition v[c,f0] = 1  (for all c).

DSolve finds a couple of nice
general solutions for v[c,f] but none of them 
satisfies v[c,f0] = constant.

Any suggestions?
kenton at stanford.edu





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