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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a Petrovsky lacuna, named for the Russian mathematician I. G. Petrovsky, is a region where the fundamental solution of a linear hyperbolic partial differential equation vanishes. They were studied by Petrovsky (1945) who found topological conditions for their existence. Petrovsky''s work was generalized and updated by Atiyah, Bott, and Garding (1970, 1973).

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a Petrovsky lacuna, named for the Russian mathematician I. G. Petrovsky, is a region where the fundamental solution of a linear hyperbolic partial differential equation vanishes. They were studied by Petrovsky (1945) who found topological conditions for their existence. Petrovsky''s work was generalized and updated by Atiyah, Bott, and Garding (1970, 1973).