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Annali di Matematica Pura ed Applicata

, Volume 49, Issue 1, pp 167–179 | Cite as

On singular partial differential boundary problems

  • Frantisek Wolf
Article

Summary

In the first part, the existence of a differential operator is established that is elliptic inside a domain and singular on the boundary. In the second part the invariance of the essential spectrum is established under a large class of perturbations of the original boundary problem.

Keywords

Differential Operator Large Class Boundary Problem Essential Spectrum Original Boundary 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Bibliography

  1. [1]
    Lax-Milgram,Parabolic equations, Contributions to the Theory of Partial Diff. Equations, « Annals of Maths Studies », n. 33, p. 167–190, Princeton, 1954.Google Scholar
  2. [2]
    Agudo-Wolf,Propriétés spectrales des équations différentielles non-autoadjoint, « Rend. Acad. dei Lincei », ser. VIII, 24, fasc. 6, 643–645, 1958.Google Scholar
  3. [3]
    Agudo-Wolf,Propriétés Spectrales de l'opérateur etc. « Rend. Acad. dei Lincei », ser. VIII, 25, fasc. 5, 273–275, 1958.Google Scholar
  4. [4]
    Mihlin, Vestnik Lening. Univ. 8 (1954) 513–568.Google Scholar
  5. [5]
    Vishik, Matem. Sbornik, 35 (1954) 513–568.zbMATHGoogle Scholar
  6. [6]
    Wolf,On the Essential Spectrum etc. « Communications Pure & Applied Maths 12 », n. 2. (1959).Google Scholar
  7. [7]
    Wolf,On the Invariance of the Essential Spectrum etc. « Indag. Math. » 1959.Google Scholar

Copyright information

© Swets & Zeitlinger B. V. 1960

Authors and Affiliations

  • Frantisek Wolf
    • 1
  1. 1.Berkeley

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