| Title:
|
On the trace theory for functions in Sobolev spaces with mixed $L_p$-norm (English) |
| Author:
|
Weidemaier, Peter |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
44 |
| Issue:
|
1 |
| Year:
|
1994 |
| Pages:
|
7-20 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46E35 |
| idZBL:
|
Zbl 1041.46510 |
| idMR:
|
MR1257932 |
| DOI:
|
10.21136/CMJ.1994.128455 |
| . |
| Date available:
|
2009-09-24T09:35:43Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128455 |
| . |
| Reference:
|
[1] R. A. Adams: Sobolev Spaces.Academic Press, New York, San Francisco, London, 1975. Zbl 0314.46030, MR 0450957 |
| Reference:
|
[2] O. V. Besov, V. P. Il’in and S. M. Nikol’skii: Integral Representations of Functions and Imbedding Theorems I.Wiley, New York, London, Toronto, 1978. MR 0519341 |
| Reference:
|
[3] V. P. Il’in and V. A. Solonnikov: On some properties of differentiable functions of several variables.Transl. AMS 81 (1969), 67–90. |
| Reference:
|
[4] H. Iwashita: $L_q$–$L_r$ estimates for solutions of the nonstationary Stokes equations in an exterior domain and the Navier-Stokes initial value problem in $L_q$ spaces.Math. Ann. 285 (1989), 265–288. MR 1016094, 10.1007/BF01443518 |
| Reference:
|
[5] A. Kufner, O. John and S. Fučík: Function Spaces.Noordhoff Int. Publ., Leyden, 1977. MR 0482102 |
| Reference:
|
[6] O. A. Ladyshenskaya, V. A. Solonnikov and N. N. Uralceva: Linear and Quasilinear Equations of Parabolic Type.Am. Math. Soc., Providence, R.I., 1968. |
| Reference:
|
[7] W. v. Wahl: The equation $u^{\prime }+A(t)u=f$ in a Hilbert space and $L^p$-estimates for parabolic equations.J. London Math. Soc. 25 (1982), 483–497. MR 0657505 |
| Reference:
|
[8] W. v. Wahl: Vorlesung über das Außenraumproblem für die instationären Gleichungen von Navier-Stokes.Vorlesungsreihe No. 11, SFB 256, Universität Bonn, 1989. |
| Reference:
|
[9] P. Weidemaier: The trace theorem $W_p^{2,1}(\Omega _T)\ni f\mapsto \nabla _xf\in W_p^{1-1/p,1/2-1/2p}(\partial \Omega _T)$ revisited.Comment. Math. Univ. Carolinae 32 (1991), 307–314. MR 1137792 |
| Reference:
|
[10] R. L. Wheeden, A. Zygmund: Measure and Integral.Dekker, New York, Basel, 1977. MR 0492146 |
| . |
