A generalisation of the Cauchy-Kovalevskaïa theorem

DOI10.1007/s40598-016-0050-xzbMath1353.35010arXiv0710.1753OpenAlexW1602701307MaRDI QIDQ338650

Mauricio D. Garay

Publication date: 7 November 2016

Published in: Arnold Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.1753

zbMATH Keywords

characteristic Cauchy datalinear analytic initial value problemsectorial holomorphic solutions

Mathematics Subject Classification ID

Cauchy-Kovalevskaya theorems (35A10) Second-order parabolic equations (35K10)

Cites Work

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• A note on a theorem of Nirenberg
• From divergent power series to analytic functions. Theory and application of multisummable power series
• Non-analyticity in time of solutions to the KdV equation
• Summability of divergent series
• Formal solutions of semilinear heat equations
• Pseudo-differential operators and Gevrey classes
• An abstract form of the nonlinear Cauchy-Kowalewski theorem
• Newton polygons and formal Gevrey classes
• Gevrey solutions of the irregular hypergeometric system associated with an affine monomial curve
• On the divergence of the Kontsevich-Witten series
• Remarks on the abstract form of nonlinear cauchy-kovalevsky theorems
• On the Borel summability of divergent solutions of the heat equation
• Maillet type theorem and Gevrey regularity in time of solutions to nonlinear partial differential equations
• Produits tensoriels topologiques et espaces nucléaires
• Characteristic Cauchy problems and solutions of formal power series