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Simplified a priori Estimate for the Time Periodic Burgers' Equation
Centre for Mathematical Science, Lund, Sweden.
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2010 (English)In: Proceedings of the Estonian Academy of Sciences, ISSN 1736-6046, E-ISSN 1736-7530, Vol. 59, no 1, 34-41 p.Article in journal (Refereed) Published
Abstract [en]

We present here a version of the existence and uniqueness result of time periodic solutions to the viscous Burgers’ equation with irregular forcing terms (with Sobolev regularity –1 in space). The key result here is an a priori estimate which is simpler than the previously treated case of forcing terms with regularity –½ in time.

Place, publisher, year, edition, pages
2010. Vol. 59, no 1, 34-41 p.
Keyword [en]
periodic solutions, Burgers’ equation, distributions, Sobolev spaces, time-periodic.
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-79399DOI: 10.3176/proc.2010.1.06OAI: oai:DiVA.org:umu-79399DiVA: diva2:641397
Available from: 2013-08-16 Created: 2013-08-16 Last updated: 2017-12-06Bibliographically approved

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Publisher's full texthttp://www.eap.ee/public/proceedings_pdf/2010/issue_1/proc-2010-1-34-41.pdf

Authority records BETA

Verdier, Olivier

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