Skip to main content
SpringerLink
Log in

Non-unique continuation for certain Ode's in Hilbert space and for uniformly parabolic and elliptic equations in self-adjoint divergence form

  • Conference paper
  • First Online:
Symposium on Non-Well-Posed Problems and Logarithmic Convexity

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 316))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 39.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Agmon, S., Unicité et convexité dans les problèmes différentiels, Seminar Univ. di Montréal, Les Presses de l'Univer. Montréal, 1966.

    MATH  Google Scholar 

  2. Agmon, S., and Nirenberg, L., Properties of solutions of ordinary differential equations in Banach space, Comm. Pure and Applied Math., 16 (1963), pp. 121–239.

    Article  MathSciNet  MATH  Google Scholar 

  3. Aronszajn, N., A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order, J. Math. Pures Appl., 36 (1957), pp. 235–249.

    MathSciNet  MATH  Google Scholar 

  4. Carleman, T., Sur un problème d'unicité pour les systèmes d'équations aux dérivées partielles à deux variables indépendentes, Ark. Mat. Astr. Fys. 26B (1939) No. 17, pp. 1–9.

    MathSciNet  MATH  Google Scholar 

  5. De Giorgi, E., Sulla differenziabilità e l'analiticità delle extremali degli integrali multipli, Mem. Acc. Sc. Torino, III, 3 (1957), pp. 25–43.

    Google Scholar 

  6. Lions, J., and Malgrange, B., Sur l'unicité rétrograde, Math. Scand., 8 (1960), pp. 277–286.

    MathSciNet  MATH  Google Scholar 

  7. Nash, J., Continuity of the solutions of parabolic and elliptic equations, Amer. J. Math., 80 (1958), pp. 931–954.

    Article  MathSciNet  MATH  Google Scholar 

  8. Nickel, K., Gestaltaussagen über Lösungen parabolischer Differentialgleichungen, J. Reine Angew. Math. 211 (1962), pp. 78–94.

    MathSciNet  MATH  Google Scholar 

  9. Plis, A., On nonuniqueness in the Cauchy problem for an elliptic second order differential equation, Bull. Acad. Polon. Sci., Ser. Sci. Math. Astron. Phys., 11 (1963), pp. 95–100.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of California, Berkeley, California

    K. Miller

Authors
  1. K. Miller
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

R. J. Knops

Rights and permissions

Reprints and permissions

Copyright information

© 1973 Springer-Verlag Berlin

About this paper

Cite this paper

Miller, K. (1973). Non-unique continuation for certain Ode's in Hilbert space and for uniformly parabolic and elliptic equations in self-adjoint divergence form. In: Knops, R.J. (eds) Symposium on Non-Well-Posed Problems and Logarithmic Convexity. Lecture Notes in Mathematics, vol 316. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069625

Download citation

  • DOI: https://doi.org/10.1007/BFb0069625

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06159-5

  • Online ISBN: 978-3-540-38370-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation