A decomposition theorem for solving initial value problems in associated spaces

DOI10.1007/BF02844253zbMath0831.34061OpenAlexW2005316661MaRDI QIDQ1896383

Rudolf Heersink, Wolfgang Tutschke

Publication date: 27 August 1995

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02844253

zbMATH Keywords

contraction mapping principleinitial value problemsdecomposition theoremfamilies of scales of Banach spaces

Mathematics Subject Classification ID

Linear differential equations in abstract spaces (34G10) Initial value problems for linear first-order PDEs (35F10)

Related Items

On associated and co-associated complex differential operators ⋮ An example for different associated spaces in the case of pseudoanalytic functions ⋮ Compactness of an integro-differential operator of Cauchy-Kovalevskaya theory

Cites Work

• An example of a smooth linear partial differential equation without solution
• Partial differential equations. 4th ed
• On associated and co-associated complex differential operators
• Interior estimates for elliptic systems of partial differential equations
• An Elementary Proof of the Cauchy-Kowalevsky Theorem
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