Can anybody explain me why the method of separation of variables for linear homogeneous PDE works ? thanks
The Method Of Separation Of Variables
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pde
intuition
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1If you are looking for a proof: http://www.proofwiki.org/wiki/Separation_of_Variables – 2012-12-26
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0That page is ODE, not PDE, where "separation of variables" has a different meaning. – 2012-12-26
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0What do you mean by "works"? Do you mean, why does the method give a solution, or why does the method give,say, a unique solution? – 2012-12-26
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0@TomOldfield Exactly – 2012-12-27
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0@RealHilbert I'm confused, I asked an "or" question, what do you mean by "exactly"? – 2012-12-27
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0@TomOldfield I eager to know answer of both questions – 2013-01-07