Regularity properties of semilinear boundary problems in Besov and Triebel-Lizorkin spaces

Jon Johnsen

Journées équations aux dérivées partielles (1995)

  • Volume: 1995, page 1-10
  • ISSN: 0752-0360

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Johnsen, Jon. "Regularity properties of semilinear boundary problems in Besov and Triebel-Lizorkin spaces." Journées équations aux dérivées partielles 1995 (1995): 1-10. <http://eudml.org/doc/93299>.

@article{Johnsen1995,
author = {Johnsen, Jon},
journal = {Journées équations aux dérivées partielles},
language = {eng},
pages = {1-10},
publisher = {Ecole polytechnique},
title = {Regularity properties of semilinear boundary problems in Besov and Triebel-Lizorkin spaces},
url = {http://eudml.org/doc/93299},
volume = {1995},
year = {1995},
}

TY - JOUR
AU - Johnsen, Jon
TI - Regularity properties of semilinear boundary problems in Besov and Triebel-Lizorkin spaces
JO - Journées équations aux dérivées partielles
PY - 1995
PB - Ecole polytechnique
VL - 1995
SP - 1
EP - 10
LA - eng
UR - http://eudml.org/doc/93299
ER -

References

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  1. [1] L. Boutet de Monvel. Boundary problems for pseudo-differential operators. Acta Math., 126 : 11-51, 1971. Zbl0206.39401MR53 #11674
  2. [2] J. Franke. On the Spaces Fspq of Triebel-Lizorkin Type : Pointwise Multipliers and Spaces on Domains. Math. Nachr., 125 : 29-68, 1986. Zbl0617.46036MR88e:46029
  3. [3] G. Grubb. Functional Calculus of Pseudo-Differential Boundary Problems, volume 65 of Progress in Mathematics. Birkhäuser, Boston, 1986. Zbl0622.35001MR88f:35002
  4. [4] G. Grubb. Pseudo-differential boundary problems in Lp-spaces. Comm. Part. Diff. Equations, 15 : 289-340, 1990. Zbl0723.35091MR91c:47108
  5. [5] G. Grubb. Parabolic pseudo-differential boundary problems and applications. In L. Cattabriga and L. Rodino, editors, Microlocal analysis and applications, Montecatini Terme, Italy, July 3-11, 1989, volume 1495 of Lecture Notes in Mathematics, Berlin, 1991. Springer. Zbl0763.35116
  6. [6] G. Grubb and N. J. Kokholm. A global calculus of parameter-dependent pseudodifferential boundary problems in Lp Sobolev spaces. Acta Math., 171 : 165-229, 1993. Zbl0811.35176MR94m:35328
  7. [7] G. Grubb and V. A. Solonnikov. Boundary value problems for the non-stationary Navier-Stokes equations treated by pseudo-differential methods. Math. Scand., 69 : 217-290, 1991. Zbl0766.35034MR93e:35082
  8. [8] J. Johnsen. Elliptic boundary problems and the Boutet de Monvel calculus in Besov and Triebel-Lizorkin spaces. (to appear in Math. Scand.). Zbl0873.35023
  9. [9] J. Johnsen. Pointwise multiplication of Besov and Triebel-Lizorkin spaces. (to appear in Math. Nachr.). Zbl0839.46026
  10. [10] J. Johnsen. Regularity properties of semi-linear boundary problems in Lp-related spaces. (in preparation). 
  11. [11] J. Johnsen. The stationary Navier-Stokes equations in Lp-related spaces. PhD thesis, University of Copenhagen, Denmark, 1993. Ph.D.-series 1. 
  12. [12] S. I. Pohožaev. The Sharp Apriori Estimates for Some Superlinear Degenerate Elliptic Problems. In Schmeisser, H.-J. and Triebel, H., editor, Function Spaces, Differential Operators and Nonlinear Problems, volume 133 of Teubner-Texte zur Mathematik, pages 200-217, Leipzig, 1993. Teubner Verlagsgesellschaft. Zbl0838.35018MR94i:35033
  13. [13] R. Temam. Navier-Stokes Equations, Theory and Numerical Analysis. Elsevier Science Publishers B.V., Amsterdam, 1984. (Third edition). Zbl0568.35002
  14. [14] H. Triebel. Theory of function spaces, volume 78 of Monographs in mathematics. Birkhäuser Verlag, Basel, 1983. Zbl0546.46027MR86j:46026
  15. [15] H. Triebel. Theory of function spaces II, volume 84 of Monographs in mathematics. Birkhäuser Verlag, Basel, 1992. Zbl0763.46025MR93f:46029
  16. [16] M. Yamazaki. A quasi-homogeneous version of paradifferential operators, I. Boundedness on spaces of Besov type. J. Fac. Sci. Univ. Tokyo Sect. IA, Math., 33 : 131-174, 1986. Zbl0608.47058MR87j:35393

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