| Title:
|
Quarks, fractals, non-linearities, and related elliptic operators (English) |
| Author:
|
Triebel, Hans |
| Language:
|
English |
| Journal:
|
Nonlinear Analysis, Function Spaces and Applications |
| Volume:
|
Vol. 6 |
| Issue:
|
1998 |
| Year:
|
|
| Pages:
|
200-222 |
| . |
| Category:
|
math |
| . |
| MSC:
|
28A80 |
| MSC:
|
35J45 |
| MSC:
|
46E35 |
| idZBL:
|
Zbl 0964.46016 |
| idMR:
|
MR1777716 |
| . |
| Date available:
|
2009-10-08T09:47:53Z |
| Last updated:
|
2012-08-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/702474 |
| . |
| Reference:
|
[1] Edmunds D. E., Triebel H. : Function spaces, entropy numbers, differential operators.Cambridge University Press, Cambridge 1996. Zbl 0865.46020, MR 1410258 |
| Reference:
|
[2] Edmunds D. E., Triebel H. : Spectral theory for isotropic fractal drums.C. R. Acad. Sci. Paris 326, Série I. Math. 326 (1998), 1269–1274. Zbl 0920.47044, MR 1649135 |
| Reference:
|
[3] Edmunds D. E., Triebel H. : Eigenfrequencies of isotropic fractal drums.Preprint, 1998 (submitted). MR 1747890 |
| Reference:
|
[4] Falconer K. J. : The geometry of fractal sets.Cambridge University Press, Cambridge 1985. Zbl 0587.28004, MR 0867284 |
| Reference:
|
[5] Falconer K. J. : Fractal geometry.Wiley, Chichester 1990. Zbl 0689.28003, MR 1102677 |
| Reference:
|
[6] Farkas W. : Atomic and subatomic decompositions in anisotropic function spaces.To appear in Math. Nachr. Zbl 0954.46021, MR 1734360 |
| Reference:
|
[7] Jonsson A., Wallin H. : Function spaces on subsets of $\mathbb{R}^{n}$. Math. reports 2, 1.Harwood Acad. Publ., London 1984. MR 0820626 |
| Reference:
|
[8] Mattila P. : Geometry of sets and measures in Euclidean spaces.Cambridge University Press, Cambridge 1995. Zbl 0819.28004, MR 1333890 |
| Reference:
|
[9] Meyer Y. : Wavelets and operators.Cambridge University Press, Cambridge 1992. Zbl 0776.42019, MR 1228209 |
| Reference:
|
[10] Runst, Th., Sickel W. : Sobolev spaces of fractional order, Nemytzkij operators, and nonlinear partial differential equations.de Gruyter, Berlin 1996. MR 1419319 |
| Reference:
|
[11] Triebel H. : Interpolation theory, function spaces, differential operators.North-Holland, Amsterdam 1978 (sec. ed. Barth, Heidelberg 1995). Zbl 0387.46033, MR 0503903 |
| Reference:
|
[12] Triebel H. : Theory of function spaces.Birkhäuser, Basel 1983. Zbl 0546.46028, MR 0781540 |
| Reference:
|
[13] Triebel H. : Theory of function spaces II.Birkhäuser, Basel 1992. Zbl 0763.46025, MR 1163193 |
| Reference:
|
[14] Triebel H. : Fractals and spectra.Birkhäuser, Basel 1997. Zbl 0898.46030, MR 1484417 |
| Reference:
|
[15] Triebel H. : Gaussian decompositions in function spaces.Results Math. 34 (1998), 174–184. Zbl 0922.46031, MR 1635594 |
| Reference:
|
[16] Triebel H. : Decompositions of function spaces.In: Progress in Nonl. Diff. Equations Applications 35: Topics in Nonlinear Analysis. Birkhäuser, Basel 1999, 691–730. Zbl 0920.46027, MR 1725591 |
| Reference:
|
[17] Triebel H. : Function spaces and spectra of elliptic operators on a class of hyperbolic manifolds.To appear in Studia Math. Zbl 0935.46033, MR 1688225 |
| Reference:
|
[18] Triebel H. : Taylor expansions of distributions.Preprint, 1998 (submitted). MR 1760005 |
| . |
