The Cauchy-Kovalevskaya theorem —Old and new

DOI10.1007/BF02836921zbMath1091.35002OpenAlexW2091971621MaRDI QIDQ3379087

Wolfgang Tutschke

Publication date: 6 April 2006

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

Full work available at URL: https://doi.org/10.1007/bf02836921

zbMATH Keywords

interior estimatesgeneralized analytic functionsdecomposition of initial dataH. Levy example

Mathematics Subject Classification ID

Cauchy-Kovalevskaya theorems (35A10) Initial value problems for linear first-order PDEs (35F10) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

Cites Work

• An example of a smooth linear partial differential equation without solution
• Partial differential equations. 4th ed
• A note on a theorem of Nirenberg
• An extended Cauchy-Kovalevskaya problem and its solution in associated spaces
• An abstract form of the nonlinear Cauchy-Kowalewski theorem
• Singular partial complex differential equations as conditions for initial functions
• First Order Differential Operators Associated to the Cauchy—Riemann Operator in the Plane
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