Variational methods for boundary value problems
2000 ◽
Vol 4
(2)
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pp. 193-204
Keyword(s):
The variational formulation of boundary value problems is valuable in providing remarkably easy computational algorithms as well as an alternative framework with which to prove existence results. Boundary conditions impose constraints which can be annoying from a computational point of view. The question is then posed: what is the most general boundary value problem which can be posed in variational form with the boundary conditions appearing naturally? Special cases of two-point problems in one-dimension and some higher dimensional problems are addressed. There is a deep connection with self-adjointness for the linear case. Further cases under which a Lagrangian may or may not exist are explained.
2013 ◽
Vol 2013
◽
pp. 1-13
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2017 ◽
Vol 17
(2)
◽
pp. 46-56
2020 ◽
Vol 25
(1)
◽
pp. 106-126
2020 ◽
Vol 28
(2)
◽
pp. 237-241
2011 ◽
Vol 61
(2)
◽
pp. 236-249
◽
2016 ◽
Vol 40
(4)
◽
pp. 2593-2605
◽