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A generalisation of the Cauchy-Kovalevsk...

Garay, Mauricio D....

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A generalisation of the Cauchy-Kovalevskaia theorem by Garay, Mauricio D. ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	07-08-2023
Summary	I prove, under mild assumptions, that solutions to linear evolution equations admit sectorial solutions. The size of the sector depends on the regularity of the initial data. If it is regular enough the solution is holomorphic and unique otherwise it is sectorial. I also prove that the result is optimal for many partial differential systems (which includes KdV and other examples).
ISBN	-
Item Type	Article
File Type	pdf
File Size	37.08 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/0710.1753

Citation

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AMA 11th EditionReferences

Garay, Mauricio D.. A generalisation of the Cauchy-Kovalevskaia theorem. N.A. August 07, 2023. Accessed August 18, 2025. https://online.provdatabase.com/cite/12163

APA 7th EditionReferences

Garay, Mauricio D.. (2023). A generalisation of the Cauchy-Kovalevskaia theorem. N.A. https://online.provdatabase.com/cite/12163

Chicago 17th EditionReferences

Garay, Mauricio D.. A generalisation of the Cauchy-Kovalevskaia theorem. N.A. 2023. https://online.provdatabase.com/cite/12163

HarvardReferences

Garay, Mauricio D.. (2023). A generalisation of the Cauchy-Kovalevskaia theorem. [Online]. N.A. Available from: https://online.provdatabase.com/cite/12163. (Accessed 18 August 2025).

Harvard AustraliaReferences

Garay, Mauricio D., 2023, A generalisation of the Cauchy-Kovalevskaia theorem, N.A, viewed 18 August 2025, <https://online.provdatabase.com/cite/12163>

MLA 9th EditionWorks Cited

Garay, Mauricio D.. A generalisation of the Cauchy-Kovalevskaia theorem. N.A, 2023. PROV Database, https://online.provdatabase.com/cite/12163.

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