Nonexistence of Global Weak Solutions to Some Properly and Improperly Posed Problems of Mathematical Physics: The Method of Unbounded Fourier Coefficients.
Mathematische Annalen, Tome 214 (1975), pp. 205-220.

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@article{MAN_1975__214_162691,
     author = {Howard A. Levine},
     title = {Nonexistence of {Global} {Weak} {Solutions} to {Some} {Properly} and {Improperly} {Posed} {Problems} of {Mathematical} {Physics:} {The} {Method} of {Unbounded} {Fourier} {Coefficients.}},
     journal = {Mathematische Annalen},
     pages = {205--220},
     publisher = {mathdoc},
     volume = {214},
     year = {1975},
     zbl = {0286.35006},
     url = {http://geodesic.mathdoc.fr/item/MAN_1975__214_162691/}
}
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Howard A. Levine. Nonexistence of Global Weak Solutions to Some Properly and Improperly Posed Problems of Mathematical Physics: The Method of Unbounded Fourier Coefficients.. Mathematische Annalen, Tome 214 (1975), pp. 205-220. http://geodesic.mathdoc.fr/item/MAN_1975__214_162691/