9.2.10. Let L = D². Using the L2 inner products on both the domain and target spaces, write down a set of homogeneous boundary conditions that makes L* D². Then set S = L* L = D. Do your boundary conditions lead to a boundary value problem S[u] f that is (i) positive definite; (ii) positive semi-definite; or (iii) neither? = =
9.2.10. Let L = D². Using the L2 inner products on both the domain and target spaces, write down a set of homogeneous boundary conditions that makes L* D². Then set S = L* L = D. Do your boundary conditions lead to a boundary value problem S[u] f that is (i) positive definite; (ii) positive semi-definite; or (iii) neither? = =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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