Cauchy–Kowalevski Theorem

(Theory)

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Theory since 1842
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What is Cauchy–Kowalevski theorem?

In mathematics, the Cauchy–Kowalevski theorem (also written as the Cauchy–Kovalevskaya 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 , and the full result by Sophie Kovalevskaya .

Technology Types

augustin-louis cauchydifferential equationequationmathematical statementmathematical theorempartial differential equationpropositionstatementtheoremtheorems in analysistheoryuniqueness theorem

Synonyms

Cauchy-Kovalevskaya theoremCauchy-Kovalevski theoremCauchy-Kovalevsky theoremCauchy-Kowalevski TheoremCauchy-Kowalevsky theoremCauchy-Kowalewski TheoremCauchy–Kovalevskaya theorem

Translations

Satz von Cauchy-Kowalewskaja (de)Teorema di Cauchy-Kovalevskaya (it)Théorème de Cauchy-Kowalevski (fr)Теорема Коши — Ковалевской (ru)코시-코발렙스카야 정리 (ko)コーシー=コワレフスカヤの定理 (ja)

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