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[tex]\gamma^{i}\partial_{i}\epsilon=0[/tex] has only one smooth solution, where [itex]\gamma^{i}[/itex] is a Dirac gamma matrix (or an element of the Clifford algebra), and [itex]\epsilon[/itex] is a spinorial quantity (which may or may not be relevant to finding a smooth solution, I am not sure).

Any advice?

Also can anyone recommend a book that treats formally (and clearly, possibly) a procedure for finding unique/smooth solutions to equations.

Thanks.