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The Cauchy-Kowalewskaya theorem

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Publication:1233562
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DOI10.1016/0022-247X(76)90079-2zbMath0346.35002MaRDI QIDQ1233562

Marvin Shinbrot, Robert R. Welland

Publication date: 1976

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)



Mathematics Subject Classification ID

Cauchy-Kovalevskaya theorems (35A10) Derivatives of functions in infinite-dimensional spaces (46G05)


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A Convergent Series Expansion for Hyperbolic Systems of Conservation Laws, Radially Symmetric Solutions to a Dirichlet Problem Involving Critical Exponents, The local Cauchy problem in \(R^2\) at a point where two characteristic curves have a common tangent, The initial value problem for surface waves under gravity. III: Uniformly analytic initial domains



Cites Work

  • Analytic functions in Banach spaces
  • A New Proof and Generalizations of the Cauchy-Kowalewski Theorem
  • Nonlinear hyperbolic equations
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