Well-posedness and behaviors of solutions to an integrable evolution equation

Abstract This work is devoted to investigating the local well-posedness for an integrable evolution equation and behaviors of its solutions, which possess blow-up criteria and persistence property. The existence and uniqueness of analytic solutions with analytic initial values are established. The s...

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Main Authors:	Sen Ming, Shaoyong Lai, Yeqin Su
Format:	Article
Language:	English
Published:	SpringerOpen 2020-10-01
Series:	Boundary Value Problems
Subjects:	Local well-posedness Blow-up Persistence property Analytic solutions
Online Access:	http://link.springer.com/article/10.1186/s13661-020-01460-y

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spelling	doaj-b1b76b7945f84f30b636016142b92ef62020-11-25T04:00:18ZengSpringerOpenBoundary Value Problems1687-27702020-10-012020112210.1186/s13661-020-01460-yWell-posedness and behaviors of solutions to an integrable evolution equationSen Ming0Shaoyong Lai1Yeqin Su2Department of Mathematics, North University of ChinaDepartment of Mathematics, Southwestern University of Finance and EconomicsDepartment of Securities and Futures, Southwestern University of Finance and EconomicsAbstract This work is devoted to investigating the local well-posedness for an integrable evolution equation and behaviors of its solutions, which possess blow-up criteria and persistence property. The existence and uniqueness of analytic solutions with analytic initial values are established. The solutions are analytic for both variables, globally in space and locally in time. The effects of coefficients λ and β on the solutions are given.http://link.springer.com/article/10.1186/s13661-020-01460-yLocal well-posednessBlow-upPersistence propertyAnalytic solutions
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Sen Ming Shaoyong Lai Yeqin Su
spellingShingle	Sen Ming Shaoyong Lai Yeqin Su Well-posedness and behaviors of solutions to an integrable evolution equation Boundary Value Problems Local well-posedness Blow-up Persistence property Analytic solutions
author_facet	Sen Ming Shaoyong Lai Yeqin Su
author_sort	Sen Ming
title	Well-posedness and behaviors of solutions to an integrable evolution equation
title_short	Well-posedness and behaviors of solutions to an integrable evolution equation
title_full	Well-posedness and behaviors of solutions to an integrable evolution equation
title_fullStr	Well-posedness and behaviors of solutions to an integrable evolution equation
title_full_unstemmed	Well-posedness and behaviors of solutions to an integrable evolution equation
title_sort	well-posedness and behaviors of solutions to an integrable evolution equation
publisher	SpringerOpen
series	Boundary Value Problems
issn	1687-2770
publishDate	2020-10-01
description	Abstract This work is devoted to investigating the local well-posedness for an integrable evolution equation and behaviors of its solutions, which possess blow-up criteria and persistence property. The existence and uniqueness of analytic solutions with analytic initial values are established. The solutions are analytic for both variables, globally in space and locally in time. The effects of coefficients λ and β on the solutions are given.
topic	Local well-posedness Blow-up Persistence property Analytic solutions
url	http://link.springer.com/article/10.1186/s13661-020-01460-y
work_keys_str_mv	AT senming wellposednessandbehaviorsofsolutionstoanintegrableevolutionequation AT shaoyonglai wellposednessandbehaviorsofsolutionstoanintegrableevolutionequation AT yeqinsu wellposednessandbehaviorsofsolutionstoanintegrableevolutionequation
_version_	1724451408609017856

Well-posedness and behaviors of solutions to an integrable evolution equation

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