Recent existence and regularity results for wave maps
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Michael Struwe (1997)
Journées équations aux dérivées partielles
Frédéric Helein (1988)
Manuscripta mathematica
Michael Grüter (1998)
Annales de l'I.H.P. Analyse non linéaire
Gilles Carbou (1993)
Manuscripta mathematica
Rugang Ye (1988)
Mathematische Zeitschrift
Takashi Okayasu (1994)
Mathematische Annalen
Richard Schoen, Karen Uhlenbeck (1984)
Inventiones mathematicae
Andreas Gastel (1992)
Manuscripta mathematica
Pawel Strzelecki (1994)
Manuscripta mathematica
Y.L. Xin, Yang Yihu (1995)
Journal für die reine und angewandte Mathematik
Fréderic Hélein (1991)
Manuscripta mathematica
Fang Hua Lin, Yumnei Chen (1995)
Commentarii mathematici Helvetici
Frédéric Hélein (2004)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Reto Müller (2012)
Annales scientifiques de l'École Normale Supérieure
We investigate a coupled system of the Ricci flow on a closed manifold with the harmonic map flow of a map from to some closed target manifold ,where is a (possibly time-dependent) positive coupling constant. Surprisingly, the coupled system may be less singular than the Ricci flow or the harmonic map flow alone. In particular, we can always rule out energy concentration of a-priori by choosing large enough. Moreover, it suffices to bound the curvature of to also obtain control of ...
Willi Jäger, Helmut Kaul (1983)
Journal für die reine und angewandte Mathematik
Atsushi Tachikawa (1985)
Manuscripta mathematica
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