Complete Mellin symbols and the conormal asymptotics in boundary value problems

S. Rempel; Bert-Wolfgang Schulze

Journées équations aux dérivées partielles (1984)

  • page 1-25
  • ISSN: 0752-0360

How to cite

top

Rempel, S., and Schulze, Bert-Wolfgang. "Complete Mellin symbols and the conormal asymptotics in boundary value problems." Journées équations aux dérivées partielles (1984): 1-25. <http://eudml.org/doc/93110>.

@article{Rempel1984,
author = {Rempel, S., Schulze, Bert-Wolfgang},
journal = {Journées équations aux dérivées partielles},
keywords = {equations on manifolds with singularities; Mellin transform},
language = {eng},
pages = {1-25},
publisher = {Ecole polytechnique},
title = {Complete Mellin symbols and the conormal asymptotics in boundary value problems},
url = {http://eudml.org/doc/93110},
year = {1984},
}

TY - JOUR
AU - Rempel, S.
AU - Schulze, Bert-Wolfgang
TI - Complete Mellin symbols and the conormal asymptotics in boundary value problems
JO - Journées équations aux dérivées partielles
PY - 1984
PB - Ecole polytechnique
SP - 1
EP - 25
LA - eng
KW - equations on manifolds with singularities; Mellin transform
UR - http://eudml.org/doc/93110
ER -

References

top
  1. [1] M. S. AGRANOVIČ, M. I. VIŠIKElliptic problems with parameter and parabolic problems of general type. Uspehi Mat. Nauk 19, 3 (1964) 53-161 (Russ. Math. Surveys 19, 3 (1964) 53-159). Zbl0137.29602MR33 #415
  2. [2] L. BOUTET DE MONVELBoundary problems for pseudo-differential operators. Acta math. 126 (1971), 11-51. Zbl0206.39401MR53 #11674
  3. [3] J. J. DUISTERMAAT, V. GUILLEMINThe spectrum of positive elliptic operators and periodic bicharacteristics. Invent. math. 29 (1975) 39-79. Zbl0307.35071MR53 #9307
  4. [4] G. I. ESKINBoundary problems for elliptic pseudo-differential equations. Nauka Moskva 1973 (Transl. of Math. Monographs 52, Amer. Math. Soc.). 
  5. [5] V. JA. IVRIĠOn the precise spectral asymptotics for elliptic operators acting in bundles (Russ.) Funkc. Anal. i. Priloš. 16, 2 (1982) 30-38. Zbl0505.35066
  6. [6] P. JEANQUARTIERTransformation de Mellin et développements asymptotiques. L'Enseignement mathématique 25 (1979) 285-308. Zbl0436.46031MR81g:46049
  7. [7] V. A. KONDRAT'EVBoundary problems for elliptic equations in domains with conical or corner points (Russ.). Trudy Mosk. Mat. Obšč. 16 (1967), 209-293. Zbl0162.16301MR37 #1777
  8. [8] V. A. KONDRAT'EV, O. A. OLEYNIKBoundary problems for partial differential equations in non-smooth domains. Uspehi Mat. Nauk 38, 2 (1983) 3-76. Zbl0523.35010
  9. [9] S. LEE, R. MELROSEBoundary behaviour of the complex Monge-Ampere equation. Acta Math. 148 (1982) 159-192. Zbl0496.35042MR84e:58078
  10. [10] R. MELROSETransformation of boundary problems. Acta Math. 147 (1981) 149-236. Zbl0492.58023MR83f:58073
  11. [11] R. MELROSE, G. A. MENDOZAElliptic boundary problems in spaces with conical points. Journees "Equ. deriv. part." St. Jean de Monts 1981, Conf. No. 4. Zbl0481.35004
  12. [12] S. REMPEL, B. W. SCHULZEIndex Theory of Elliptic Boundary Problems. Akademie-Verlag Berlin 1982. Zbl0504.35002MR85b:58126
  13. [13] S. REMPEL, B. W. SCHULZEParametrices and boundary symbolic calculus for elliptic boundary problems without the transmission property. Math. Nachr. 105 (1982) 45-149. Zbl0544.35095MR84a:58083
  14. [14] S. REMPEL, B. W. SCHULZEA theory of pseudo-differential boundary value problems with discontinuous conditions, I, II. Annals of Global Analysis and Geometry (to appear), Preprints IMath 17, 23, 24, 25 Berlin 1983. Zbl0515.35085
  15. [15] S. REMPEL, B. W. SCHULZEPseudo-differential and Mellin operators in spaces with conormal singularity (boundary symbols) Chapter 1. Report IMath 01, Berlin 1984 (Chapters 2, 3 to appear). Zbl0542.35001MR85k:35242
  16. [16] S. REMPEL, B. W. SCHULZEA complete Mellin symbolic calculus near conical points. (to appear). 
  17. [17] S. SEELEYComplex powers of an elliptic pseudo-differential operator. Proc. Symp. Pure Math. 10 (1967) 288-307. Zbl0159.15504

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.