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Sur l’unicité du prolongement des systèmes elliptiques dont la valeur initiale s’annule sur un sous-ensemble de mesure positive. (French) Zbl 0409.35012

MSC:

35B60 Continuation and prolongation of solutions to PDEs
35F25 Initial value problems for nonlinear first-order PDEs
35D10 Regularity of generalized solutions of PDE (MSC2000)
35J99 Elliptic equations and elliptic systems
35F99 General first-order partial differential equations and systems of first-order partial differential equations
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References:

[1] Carleman, T.. «Sur les systèmes linéaires aux dérivées partielles du premier ordre à deux variables», C. R. Acad. Sci.Paris. 197 (1933) p. 471-474. · JFM 59.0469.03
[2] Courant, R. and Hilbert, D.. «Methods of mathematical physics, II», Interscience, 1962. · Zbl 0099.29504
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