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Leopold, Hans-Gerd

Die Cauchyaufgabe für die Maxwellschen Gleichungen in gekrümmter Raum-Zeit. (German) Zbl 0489.35022

Math. Nachr. 101, 61-74 (1981).
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MSC:

35D05 Existence of generalized solutions of PDE (MSC2000)
35Q99 Partial differential equations of mathematical physics and other areas of application
83C50 Electromagnetic fields in general relativity and gravitational theory
58J45 Hyperbolic equations on manifolds

Keywords:

Cauchy problem; Maxwell equations; curved space-time; ultradistributions; tensor wave equations

Citations:

Zbl 0478.53049
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Full Text: DOI

References:

[1] The Wave Equation on a Curved Space-Time, Cambridge University Press, Cambridge, London, New York, Melbourne 1975.
[2] , The Large Scale Structure of Space-Time, Cambridge University Press, London 1973. · Zbl 0265.53054 · doi:10.1017/CBO9780511524646
[3] Ordinary Differential Equations, John Wiley & sons, New York, London, Sydney 1964.
[4] Komatsu, J. Fac. Sci. Univ. Tokyo Sec. I A 20 pp 25– (1973)
[5] Komatsu, J. Fac. Sci. Univ. Tokyo Sec. I A 24 pp 607– (1977)
[6] Leopold, Math. Nachr. 78 pp 231– (1977)
[7] Zur Theorie der Maxwellschen Gleichungen in gekrümmten und ungekrümmten Raum-Zeit-Theorien, Dissertation, Jena 1977.
[8] , Non-homogeneous Boundary Value Problems and Applications III, Springer-Verlag, New York, Heidelberg, Berlin 1973. · doi:10.1007/978-3-642-65393-3
[9] , Gravitation, W. H. Freeman and Company, San Francisco 1973.
[10] Pam [Russian Text Ignored.] 1956 (Übersetzung aus dem Französischem).
[11] Roumieu, J. Analyse math. 10 pp 153– (1962–63)
[12] , Differentialgeometrie und Faserbündel, VEB Verlag der Wissenschaften, Berlin 1972. · doi:10.1007/978-3-0348-5949-3
[13] Remarks on the Cauchy Problem for the Maxwell Equations in a Curved Space-Time.
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