Cauchy–Kovalevskaya theorem
Existence and uniqueness theorem for certain partial differential equations / From Wikipedia, the free encyclopedia
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In mathematics, the Cauchy–Kovalevskaya theorem (also written as the Cauchy–Kowalevski theorem) is the main local existence and uniqueness theorem for analytic partial differential equations associated with Cauchy initial value problems. A special case was proven by Augustin Cauchy (1842), and the full result by Sofya Kovalevskaya (1874).