Cain G., Meyer G.H. Separation of Variables for Partial Differential Equations: An Eigenfunction Approach
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potential, 4
Robin, 4
well posed, 2
Pythagorean theorem, 41
reaction diffusion, 148
resonance, 170
Riemann’s lemma, 74
Schwarz alternating procedure, 221
singular perturbation, 137
solution
classical, 4, 12, 20
complementary, 102
continuous dependence, 7
d’Alembert, 20, 168
fundamental, 15, 242
particular, 102
steady-state, 116
transient, 117
undetermined coefficients, 102
variation of parameters, 102, 104
weak, 5, 15, 21
span, 25
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Page 281
spectral method, 100
Sturm-Liouville
boundary condition, 46
eigenvalue problem, 53
singular eigenvalue problem, 56
supremum norm, 6
vibrating
beam, 112
chain, 175
membrane, 258
string, 19, 161, 166
waves
plane, 19, 174
standing, 162
traveling, 163
Wronskian, 43
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