Timeline for Results about existence/uniqueness of solution to Euler-Lagrange equations?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Jan 15, 2012 at 17:33 | history | edited | José Navarro | CC BY-SA 3.0 |
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| Jan 4, 2012 at 9:59 | vote | accept | José Navarro | ||
| Jan 3, 2012 at 21:02 | comment | added | Deane Yang | I would add that the situation is much easier if you are optimizing over functions of a single real variable than if there are more than one independent variable. There are numerous classical texts covering the first case. | |
| Jan 2, 2012 at 19:04 | answer | added | Liviu Nicolaescu | timeline score: 8 | |
| Dec 30, 2011 at 10:21 | comment | added | José Navarro | No, I had no particular situation in mind; just wondering whether the existence of a lagrangian could give some help in order to solve the equations. And thank you for the reference; I'll take a look to it. | |
| Dec 29, 2011 at 12:51 | comment | added | Robert Bryant | At the level of generality of your question, the answer is that existence holds for some problems and not for others and uniqueness holds for some problems and not for others. Do you have some specific situation in mind? A good general source that discusses existence and uniqueness in various different problems is the 2-volume work of Hildebrandt and Giaquinta, "The Calculus of Variations". | |
| Dec 29, 2011 at 12:33 | history | asked | José Navarro | CC BY-SA 3.0 |