76
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Essential spectra and semigroups of perturbations of M-hypoelliptic pseudo-differential operators on Lp(ℝn)

Pages 731-744 | Received 28 Oct 2008, Accepted 07 Dec 2008, Published online: 22 Jul 2009

References

  • Wong , MW . 2006 . Erhling's inequality and pseudo-differential operators on L p (ℝ n ) . Cubo , 8 : 97 – 108 .
  • Agmon , S , Douglis , A and Nirenberg , L . 1959 . Estimates near boundary for solutions of elliptic partial differential equations satisfying general boundary conditions . Comm. Pure Appl. Math. , 12 : 623 – 727 .
  • Taylor , ME . 1981 . Pseudodifferential Operators , Princeton : Princeton University Press .
  • Garello , G and Morando , A . 2003 . “ A class of L p bounded pseudodifferential operators ” . In Progress in Analysis , Edited by: Begehr , HGW , Gilbert , RP and Wong , MW . Vol. I , 689 – 696 . Singapore : World Scientific .
  • Catană , V . 2008 . M-hypoelliptic pseudo-differential operators on L p (ℝ n ) . Appl. Anal. , 87 ( 6 ) : 657 – 666 .
  • Garello , G and Morando , A . 2005 . L p -bounded pseudodifferential operators and regularity for multi-quasi-elliptic equations . Integr. Equ. Oper. Theory , 51 : 501 – 517 .
  • Wong , MW . 2006 . M-elliptic pseudo-differential operators on L p (ℝ n ) . Math. Nachr. , 279 : 319 – 326 .
  • Wong , MW . 1987 . On some spectral properties of elliptic pseudodifferential operators . Proc. Amer. Math. Soc. , 99 ( 4 ) : 683 – 689 .
  • Wong , MW . 1999 . An Introduction to Pseudo-Differential Operators , 2nd Edn , Singapore/New Jersey/London/Hong Kong : World Scientific .
  • Schechter , M . 1971 . Spectra of Partial Differential Operators , Amsterdam : North-Holland .
  • Iancu , GM . 1999 . Dynamical systems generated by pseudo-differential operators , Ph.D. Dissertation York University .
  • Wong , MW . 1988 . Essential spectra of elliptic pseudo-differential operators . Comm. Partial Diff. Eqns , 13 : 1209 – 1221 .
  • Wong , MW . 1994 . Spectral theory of pseudo-differential operators . Adv. Appl. Math. , 15 : 437 – 451 .
  • Wong , MW . 1980 . Spectral analysis of strongly Carleman pseudo-differential operators . J. London Math. Soc. , 21 : 527 – 540 .
  • Reed , M and Simon , B . 1975 . Fourier Analysis, Self-adjointness , New York : Academic Press .
  • Kato , T . 1980 . Perturbation Theory for Linear Operators , 2 nd edn , Berlin/Heidelberg, New York : Springer-Verlag .
  • Wong , MW . 1992 . A contraction semigroup generated by a pseudo-differential operator . Diff. Integral Eqns , 5 : 193 – 200 .
  • Davies , EB . 1980 . One-Parameter Semigroups , London/New York : Academic Press .
  • Pazy , A . 1983 . Semigroups of Linear Operators and Applications to Partial Differential Equations , New York/Berlin/Heidelberg, Tokyo : Springer-Verlag .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.