Skip to main content
SpringerLink
Log in

On the partial regularity of weak solutions of nonlinear parabolic systems

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Campanato, S.: Proprietà di hölderianità di alcune classi di funzioni. Ann. Scuola Norm. Sup. Pisa Cl. Sci. Ser. 4,17, 175–188 (1963)

    Google Scholar 

  2. Campanato, S.: Equazioni paraboliche del secondo ordine e spazi ℒ2,θ(Ω, δ). Ann. Mat. Pura Appl.73, 55–102 (1966)

    Google Scholar 

  3. Campanato, S.:L p regularity for Weak Solutions of Parabolic Systems. Ann. Scuola Norm. Sup. Pisa Cl. Sci. Ser. 4,7, 65–85 (1980)

    Google Scholar 

  4. Cannarsa, P.: On a maximum principle for elliptic systems with constant coefficients. Preprint Istituto di Matematica, Università di Pisa

  5. Daniljuk, G.N., Skrypnik, I.V.: On partial regularity of generalized solutions of quasilinear parabolic systems. Dokl. Akad. Nauk SSSR250, (1980). Engl. transl.: Soviet Math. Dokl.21, 195–198 (1980)

  6. Da Prato, G.: Spazi ℒ2,θ(Ω, δ) e loro proprietà. Ann. Mat. Pura Appl.69, 383–392 (1965)

    Google Scholar 

  7. Giaquinta, M.: Multiple integrals in the Calculus of Variations and non linear elliptic systems. Vorlesungsreihe des Sonderforschungsbereiches 72,5, Universität Bonn 1981

  8. Giaquinta, M., Giusti, E.: Partial regularity for the solutions to nonlinear parabolic systems. Ann. Mat. Pura Appl.47, 253–266 (1973)

    Google Scholar 

  9. Giaquinta, M., Giusti, E.: Nonlinear elliptic systems with quadratic growth. Manuscripta Math.24, 323–349 (1978)

    Google Scholar 

  10. Giaquinta, M., Modica, G.: Regularity results for some classes of higher order non linear elliptic systems. J. Reine Angew. Math.311/312, 145–169 (1979)

    Google Scholar 

  11. Giusti, E.: Precisazione delle funzioni inH 1,p e singolarità delle soluzioni deboli di sistemi ellittici non lineari. Boll. Un. Mat. Ital.1, 71–76 (1969)

    Google Scholar 

  12. Ladyzhenskaya, O.A., Solonnikov, V.A., Ural'ceva, N.N.: Linear and quasilinear equations of parabolic type. Translations of Mathematical Monographs23, Providence, Rhode Island: American Mathematical Society 1968

    Google Scholar 

  13. Pulvirenti, G.: Sulla sommabilitàL p delle derivate prime delle soluzioni deboli del problema di Cauchy-Dirichlet per le equazioni lineari del secondo ordine di tipo parabolico. Matematiche (Catania)22, 1–16 (1967)

    Google Scholar 

  14. Pulvirenti, G.: Ancora sulla sommabilitàL p delle derivate prime delle soluzioni deboli del problema di Cauchy-Dirichlet. Matematiche (Catania)23, 160–165 (1968)

    Google Scholar 

  15. Struwe, M.: On the Hölder continuity of bounded weak solutions of quasilinear parabolic systems. Manuscripta Math.35, 125–145 (1981)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Istituto di Matematica Applicata, Università di Firenze, Firenze, Italia

    Mariano Giaquinta

  2. Institut für Angewandte Mathematik der Universität, Beringstraße 4-6, D-5300, Bonn, Federal Republic of Germany

    Michael Struwe

Authors
  1. Mariano Giaquinta
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Michael Struwe
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Giaquinta, M., Struwe, M. On the partial regularity of weak solutions of nonlinear parabolic systems. Math Z 179, 437–451 (1982). https://doi.org/10.1007/BF01215058

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01215058

Keywords

Search

Navigation