| Title:
|
Gehring theory for time-discrete hyperbolic differential equations (English) |
| Author:
|
Hoshino, K. |
| Author:
|
Kikuchi, N. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
39 |
| Issue:
|
4 |
| Year:
|
1998 |
| Pages:
|
697-707 |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper is concerned with extending Gehring theory to be applicable to Rothe's approximate solutions to hyperbolic differential equations. (English) |
| Keyword:
|
Gehring theory |
| Keyword:
|
Rothe's approximation |
| Keyword:
|
hyperbolic differential equations |
| MSC:
|
26D15 |
| MSC:
|
35L20 |
| MSC:
|
35L90 |
| MSC:
|
39A10 |
| MSC:
|
49J40 |
| idZBL:
|
Zbl 1060.35527 |
| idMR:
|
MR1715459 |
| . |
| Date available:
|
2009-01-08T18:47:43Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119045 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
[3] Giaquinta M.: Multiple integrals in the calculus of variations and non linear elliptic systems.Vorlesungsreihe des Sonderforschungsbereiches, Universität Bonn, 1981. Zbl 0498.49001 |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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[9] Haga J., Kikuchi N.: On the existence of the harmonic variational flow subject to the two-sided conditions.Zap. Nauch. Semi. POMI. 243 (1997), 324-337. MR 1629761 |
| Reference:
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[10] Haga J., Kikuchi N.: On the higher integrability of gradients of the solutions to difference partial differential systems of elliptic-parabolic type.preprint. |
| Reference:
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| Reference:
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| Reference:
|
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| Reference:
|
[14] Kikuchi N.: An approach to the construction of Morse flows for variational functionals.in: Nematics-Mathematical and Physical Aspects, ed. by J.-M. Coron, J.-M. Ghidaglia and F. Helein, NATO Adv. Sci. Inst. Ser.C: Math. Phys. Sci. 332, Kluwer Acad. Publ., Dordrecht-Boston-London, 1991, pp.195-198. Zbl 0850.76043, MR 1178095 |
| Reference:
|
[15] Kikuchi N.: A construction method of Morse flows to variational functionals.Nonlinear World 1 (1994), 131-147. MR 1297075 |
| Reference:
|
[16] Rothe E.: Wärmeleitungsgleichung mit nichtkostanten Koeffizienten.Math. Ann. 104 (1931), 340-362. MR 1512671 |
| Reference:
|
[17] Stein E.M.: Singular integrals and differentiability properties of functions.Princeton University Press, Princeton, 1970. Zbl 0281.44003, MR 0290095 |
| . |
