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A priori Abschätzungen für eine Klasse elliptischer Pseudo-Differentialoperatoren im Raum Lp(Rn)

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Book cover Function Theoretic Methods for Partial Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 561))

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Literatur

  1. Adams, R. A.: Sobolev spaces, New York: Academic Press 1975.

    MATH  Google Scholar 

  2. Agranovich, M. S.: Elliptic singular integro-differential operators. RMS 20, 1–121 (1969).

    Google Scholar 

  3. Atkinson, F. V.: The normal solubility of linear equations in normed spaces. Mat. Sbornik, N. S. 28, 3–14 (1951).

    MathSciNet  Google Scholar 

  4. Calderon, A. P. u. Zygmund, A.: On singular integrals. Amer. J. of Math. 78, 289–309 (1956).

    Article  MathSciNet  MATH  Google Scholar 

  5. —: Algebras of certain singular operators. Amer. J. of Math. 78, 310–320 (1956).

    Article  MathSciNet  MATH  Google Scholar 

  6. Cordes, H. O.: The algebra of singular integral operators in Rn. J. of Math. Mech. 14, No. 6, 1007–1032 (1965).

    MathSciNet  MATH  Google Scholar 

  7. Cordes, H. O., Herman, E. A.: Gel'fand theory of pseudodifferential operators. Amer. J. of Math. 90, 681–717 (1968).

    Article  MathSciNet  MATH  Google Scholar 

  8. Donig, J.: Zur Theorie einer Klasse elliptischer singulärer Integro-Differentialoperatoren in Grund-und Distributionenräumen. Dissertation, Tübingen 1973.

    Google Scholar 

  9. Edwards, R. E.: Functional analysis. Chicago: Holt, Rinehart and Winston 1965.

    MATH  Google Scholar 

  10. Gruzin, V. V.: Pseudodifferential operators on Rn with bounded symbols. Funktsional'nyi Analiz i ego Prilozheniya 4, 37–50 (1970).

    Article  Google Scholar 

  11. Hörmander, L.: Pseudodifferential operators. Moscow: Mir 1967.

    MATH  Google Scholar 

  12. Jörgens, K.: Lineare Integraloperatoren. Stuttgart: Teubner-Verlag 1970.

    Book  MATH  Google Scholar 

  13. Kohn, J. J. und Nirenberg, L.: On the algebra of pseudodifferential operators. Comm. Pure and Appl. Math. 18, 269–305.

    Google Scholar 

  14. Mikhlin, S. G.: Multidimensional singular integrals and integral equations. Oxford: Pergamon Press 1965.

    MATH  Google Scholar 

  15. Neri, U.: Singular integrals. Berlin: Springer-Verlag 1971.

    Book  MATH  Google Scholar 

  16. Palais, R. S.: Seminar on the Atiyah-Singer index theorem. Princeton: Princeton University Press 1965.

    Book  MATH  Google Scholar 

  17. Prößdorf, S.: Einige Klassen singulärer Gleichungen. Basel: Birkhäuser Verlag 1974.

    Book  MATH  Google Scholar 

  18. Seeley, R. T.: Integro-differential operators on vector bundles. I. Trans. Amer. Math. Soc. 117, 167–204 (1965).

    Article  MathSciNet  MATH  Google Scholar 

  19. Simonenko, I. B.: A new general method of investigating linear operator equations of the type of singular integral equations. Soviet Math. Dokl. 5, 1323–1326 (1964).

    MATH  Google Scholar 

  20. —: Singular integral equations with a continuous or piecewise continuous symbol. SMD 8, 1320–1323 (1967).

    Google Scholar 

  21. Speck, F.-O.: Über verallgemeinerte Faltungsoperatoren und eine Klasse von Integrodifferentialgleichungen. Dissertation, Darmstadt 1974.

    Google Scholar 

  22. Stein, E.: Singular integrals and differentiability properties of functions. Princeton: Princeton University Press 1970.

    MATH  Google Scholar 

  23. Stummel, F.: Rand-und Eigenwertaufgaben in Sobolewschen Räumen. Berlin: Springer-Verlag 1969.

    Book  MATH  Google Scholar 

  24. Triebel, H.: Höhere Analysis. Berlin: VEB Deutscher Verlag d. Wissenschaften 1972.

    MATH  Google Scholar 

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Authors and Affiliations

  1. Darmstadt

    J. Donig

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  1. J. Donig
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V. Erhard Meister Wolfgang L. Wendland Norbert Weck

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© 1976 Springer-Verlag

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Donig, J. (1976). A priori Abschätzungen für eine Klasse elliptischer Pseudo-Differentialoperatoren im Raum Lp(Rn). In: Meister, V.E., Wendland, W.L., Weck, N. (eds) Function Theoretic Methods for Partial Differential Equations. Lecture Notes in Mathematics, vol 561. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087635

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  • DOI: https://doi.org/10.1007/BFb0087635

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08054-1

  • Online ISBN: 978-3-540-37536-4

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