An interpolation inequality in exterior domains

Francesca Crispo; Paolo Maremonti

Rendiconti del Seminario Matematico della Università di Padova (2004)

  • Volume: 112, page 11-39
  • ISSN: 0041-8994

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Crispo, Francesca, and Maremonti, Paolo. "An interpolation inequality in exterior domains." Rendiconti del Seminario Matematico della Università di Padova 112 (2004): 11-39. <http://eudml.org/doc/108638>.

@article{Crispo2004,
author = {Crispo, Francesca, Maremonti, Paolo},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {cone domains with compact boundary; Gagliardo-Nirenberg interpolation inequality},
language = {eng},
pages = {11-39},
publisher = {Seminario Matematico of the University of Padua},
title = {An interpolation inequality in exterior domains},
url = {http://eudml.org/doc/108638},
volume = {112},
year = {2004},
}

TY - JOUR
AU - Crispo, Francesca
AU - Maremonti, Paolo
TI - An interpolation inequality in exterior domains
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2004
PB - Seminario Matematico of the University of Padua
VL - 112
SP - 11
EP - 39
LA - eng
KW - cone domains with compact boundary; Gagliardo-Nirenberg interpolation inequality
UR - http://eudml.org/doc/108638
ER -

References

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  1. [1] R. A. ADAMS, Sobolev spaces, Academic Press New York, (1975). Zbl0314.46030MR450957
  2. [2] V. I. BURENKOV, Extension of functions with preservation of Sobolev seminorm, Trudy Mat. Inst. Steklov, 172 (1985), pp. 71-85 (English transl. in Proc. Steklov Inst. Math., 3 (1987), pp. 81-95). Zbl0635.46028MR810420
  3. [3] E. GAGLIARDO, Proprietà di alcune classi di funzioni in più variabili, Ricerche Mat. Univ. Napoli, 7 (1958), pp. 102-137. Zbl0089.09401MR102740
  4. [4] E. GAGLIARDO, Ulteriori proprietà di alcune classi di funzioni in più variabili, Ricerche Mat. Univ. Napoli, 8 (1959), pp. 24-51. Zbl0199.44701MR109295
  5. [5] G. P. GALDI, An introduction to the mathematical theory of the Navier-Stokes equations, Springer-Verlag, 38 (1994). Zbl0949.35004
  6. [6] G. P. GALDI - P. MAREMONTI, Monotonic decreasing and asymptotic behaviour of the kinetic energy for weak solutions of the Navier-Stokes equations in exterior domain, Arch. Rational Mech. Anal., 94 (1986), pp. 253-266. Zbl0617.35108MR846064
  7. [7] V. P. IL’IN, Certain inequalities in function spaces and their application to the analysis of convergence in variational processes, Trudy Mat. Inst. Steklov, 66 (1959), pp. 64-127 (Transl. Amer. Math. Soc. Transl., ser. 2, 81(1969), pp. 1-66). Zbl0188.42203MR118969
  8. [8] G. H. KNIGHTLY, On a class of global solutions of the Navier-Stokes equations, Arch. Rational Mech. Anal., 21 (1966), pp. 211-245. Zbl0148.21603MR191213
  9. [9] P. MAREMONTI, Some interpolation inequalities involving Stokes operator and first order derivatives, Ann. Mat. Pura Appl. (IV), 175 (1998), pp. 59-91. Zbl0958.35098MR1748216
  10. [10] C. MIRANDA, Su alcune diseguaglianze integrali, Mem. Acc. Lincei, 7 (1963), pp.1-14. Zbl0196.41402MR188578
  11. [11] C. MIRANDA, Su alcuni teoremi di inclusione, Annales Polonici Math., 16 (1965), pp. 305-315. Zbl0172.40303MR187077
  12. [12] C. MIRANDA, Istituzioni di analisi funzionale lineare, U.M.I., Oderisi, Gubbio, 1 (1978). 
  13. [13] L. NIRENBERG, On elliptic partial differential equations, Ann. Sc. Norm. Sup. Pisa, 13 (1959), pp. 123-131. Zbl0088.07601MR109940
  14. [14] L. NIRENBERG, An extended interpolation inequality, Ann. Sc. Norm. Sup. Pisa, 20 (1966), pp. 733-737. Zbl0163.29905MR208360
  15. [15] V. A. SOLONNIKOV, Inequalities for functions of the class Wp (Rn ), J. Soviet Math., 3 (1975), pp. 549-564. Zbl0349.46037

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