On the Goursat Problem for a Second Order Equation

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dc.contributor.authorTarama, Shigeo
dc.date.accessioned2020-08-10T21:11:37Z
dc.date.available2020-08-10T21:11:37Z
dc.date.issued2002-06-06
dc.description.abstractWe consider the Goursat problem for second order operators and show existence and uniqueness of smooth solutions. We prove one of the results of Hasegawa (J. Math. Soc. Japan 50 (1998), no. 3, 639--662) by the energy method. The same method is applied when one of the surfaces where the Goursat data are given is a non-characteristic.
dc.description.departmentMathematics
dc.formatText
dc.format.extent28 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationTarama, S. (2002). On the Goursat problem for a second order equation. <i>Electronic Journal of Differential Equations, 2002</i>(52), pp. 1-28.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/12351
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2002, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectGoursat problem
dc.subjectC^{\infty}-wellposed
dc.titleOn the Goursat Problem for a Second Order Equation
dc.typeArticle

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