References
ARONSZAJN, N.: A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order. J. Math. Pures Appl.36, 235–249 (1957)
BERS, L., F. JOHN and M. SCHECHTER: Partial differential equations. New York: Interscience Publishers 1964
BOJARSKI, B. and T. IWANIEC: p-harmonic equation and quasiregular mappings. Universität Bonn, Sonderforschungsbereich 72, Preprint617, 1–20 (1983)
BOJARSKI, B. and T. IWANIEC: Analytical foundations of the theory of quasiconformal mappings in Rn. Ann. Acad. Sci. Fenn. A I Math.8, 257–324 (1983)
CORDES, H. O.: Über die eindeutige Bestimmtheit der Lösungen elliptischer Differentialgleichungen durch Anfangsvorgaben. Nachr. Akad. Wiss. Göttingen Math.-Phys., Kl. IIa, 239–258 (1956)
GRANLUND, S., P. LINDQVIST and O. MARTIO: Conformally invariant variational integrals. Trans. Amer. Math. Soc.277, 43–73 (1983)
MARTIO, O., S. RICKMAN and J. VÄISÄLÄ: Definitions for quasiregular mappings. Ann. Acad. Sci. Fenn. A I Math.448, 1–40 (1969)
MARTIO, O. and J. SARVAS: Injectivity theorems in plane and space. Ann. Acad. Sci. Fenn. A I Math.4, 383–401 (1978/1979)
PLIŠ, A.: A non-uniqueness in Cauchy problem for an elliptic second order differential equation. Bull. Acad. Pol. Sci.XI, 95–100 (1963)
REŠETNJAK, Ju. G.: Space mappings with bounded distortion (Russian). Novosibirsk: Nauka 1982
VÄISÄLÄ, J.: Lectures on n-dimensional quasiconformal mappings. Lecture Notes in Mathematics229, Springer-Verlag 1971
ZORIČ, V.: The theorem of M. A. Lavrentiev for space quasiconformal mappings (Russian). Mat. Sbornik74, 417–433 (1967)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Martio, O. Counterexamples for unique continuation. Manuscripta Math 60, 21–47 (1988). https://doi.org/10.1007/BF01168146
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01168146