Duke Mathematical Journal

On the regularity properties of a model problem related to wave maps

Sergiu Klainerman and Matei Machedon
Source: Duke Math. J. Volume 87, Number 3 (1997), 553-589.
First Page: Show Hide
Primary Subjects: 35L70
Secondary Subjects: 35B65, 58G16
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077242327
Mathematical Reviews number (MathSciNet): MR1446618
Zentralblatt MATH identifier: 0878.35075
Digital Object Identifier: doi:10.1215/S0012-7094-97-08718-4

References

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Mathematical Reviews (MathSciNet): MR95d:35160a
Zentralblatt MATH: 0787.35097
Digital Object Identifier: doi:10.1007/BF01896020
[B]2 J. Bourgain, Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II. The KdV-equation, Geom. Funct. Anal. 3 (1993), no. 3, 209–262.
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Digital Object Identifier: doi:10.1007/BF01895688
[CZ] D. Christodoulou and A. Shadi Tahvildar-Zadeh, On the regularity of spherically symmetric wave maps, Comm. Pure Appl. Math. 46 (1993), no. 7, 1041–1091.
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Digital Object Identifier: doi:10.1215/S0012-7094-93-07101-3
Project Euclid: euclid.dmj/1077289834
[KM1] S. Klainerman and M. Machedon, Space-time estimates for null forms and the local existence theorem, Comm. Pure Appl. Math. 46 (1993), no. 9, 1221–1268.
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[KM2] S. Klainerman and M. Machedon, Smoothing estimates for null forms and applications, Duke Math. J. 81 (1995), no. 1, 99–133 (1996).
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Digital Object Identifier: doi:10.1215/S0012-7094-95-08109-5
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[KM3] S. Klainerman and M. Machedon, Smoothing estimates for null forms and applications, Internat. Math. Res. Notices (1994), no. 9, 383ff., approx. 7 pp. (electronic).
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[KM4] S. Klainerman and M. Machedon, Remark on Strichartz-type inequalities, Internat. Math. Res. Notices (1996), no. 5, 201–220.
Mathematical Reviews (MathSciNet): MR97g:46037
Zentralblatt MATH: 0853.35062
Digital Object Identifier: doi:10.1155/S1073792896000153
[KM5] S. Klainerman and M. Machedon, On the Maxwell-Klein-Gordon equation with finite energy, Duke Math. J. 74 (1994), no. 1, 19–44.
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Digital Object Identifier: doi:10.1215/S0012-7094-94-07402-4
Project Euclid: euclid.dmj/1077288008
[KM6] S. Klainerman and M. Machedon, Finite energy solutions of the Yang-Mills equations in $\bold R\sp 3+1$, Ann. of Math. (2) 142 (1995), no. 1, 39–119.
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Zentralblatt MATH: 0827.53056
Digital Object Identifier: doi:10.2307/2118611

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