Estimating Vu in terms of div u, curl u, either (v, u) or v × u and the topology

Mathematical Methods in the Applied Sciences

Volumn 20, Issue 9, 1997, Pages 737-744

  Bolik, Jürgen ^a   Von Wahl, Wolf ^a  

^a UNIVERSITY OF BAYREUTH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ESTIMATION; NUMBER THEORY; SET THEORY; TOPOLOGY; VECTORS;

FINITE FIRST BETTI NUMBER; SECOND BETTI NUMBER;

BOUNDARY VALUE PROBLEMS;

EID: 0031166168     PISSN: 01704214     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1099-1476(199706)20:9<737::aid-mma863>3.0.co;2-i     Document Type: Article

References (8)

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3. Kress, R., 'Grundzüge einer Theorie der verallgemeinerten harmonischen Vektorfelder', Methoden Verfahren Math. Phys., 2, 49-83 (1969).
4. Morrey, C. B., Multiple Integrals in the Calculus of Variations, Springer, Berlin, 1966.
5. Schwarz, G., 'Hodge decomposition - a method for solving boundary value problems', Lecture Notes in Mathematics Vol. 1607, Springer, Berlin, 1995.
6. Wahl, W. von, 'Vorlesung über das Außenraumproblem für die instationären Gleichungen von Navier-Stokes, Rudolph-Lipschitz-Vorlesung', Sonderforschungsbereich 256, Nichtlineare Partielle Differentialgleichungen, 11, Bonn, 1989.
7. Wahl, W. von, 'Estimating Vu by div u and curl u', Math. Methods Appl. Sci., 15, 123-143 (1992).
8. Wiegner, M., 'Schauder estimates for boundary layer potentials', Math. Methods Appl. Sci., 16, 877-894 (1993).