Maximal regularity for abstract parabolic problems with inhomogeneous boundary data in -spaces
Prüss, Jan
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Prüss, Jan
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V. Kamotski, G. Lebeau (2004)
Journées Équations aux dérivées partielles
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E. Di Benedetto (1986)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Giovanni Dore, Alberto Venni (1991)
Mathematische Zeitschrift
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Yuki Miyamoto, Takeyuki Nagasawa, Fumito Suto (2009)
Kybernetika
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The gradient flow of bending energy for plane curve is studied. The flow is considered under two kinds of constraints; one is under the area and total-length constraints; the other is under the area and local-length constraints. The fundamental results (the local existence and uniqueness) were obtained independently by Kurihara and the second author for the former one; by Okabe for the later one. For the former one the global existence was shown for any smooth initial curves, but the...