An example of a locally unsolvable hyperbolic equation of the second order is constructed, which has smooth () coefficients, but has no solutions in the class of distributions.
@article{bwmeta1.element.bwnjournal-article-bcpv33z1p61bwm,
author = {Egorov, Yuri},
title = {On a linear hyperbolic equation with smooth coefficients without solutions},
journal = {Banach Center Publications},
volume = {37},
year = {1996},
pages = {61-66},
zbl = {0851.35081},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv33z1p61bwm}
}
Egorov, Yuri. On a linear hyperbolic equation with smooth coefficients without solutions. Banach Center Publications, Tome 37 (1996) pp. 61-66. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv33z1p61bwm/
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