Geodesic
Unique continuation of solutions of differential equations with weighted derivatives
Sbornik. Mathematics, Tome 191 (2000) no. 3, pp. 431-458 
N. A. Shananin. Unique continuation of solutions of differential equations with weighted derivatives. Sbornik. Mathematics, Tome 191 (2000) no. 3, pp. 431-458. http://geodesic.mathdoc.fr/item/SM_2000_191_3_a7/
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     author = {N. A. Shananin},
     title = {Unique continuation of solutions of differential equations with weighted derivatives},
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     volume = {191},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2000_191_3_a7/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The paper contains a generalization of Calderon's theorem on the local uniqueness of the solutions of the Cauchy problem for differential equations with weighted derivatives. Anisotropic estimates of Carleman type are obtained. A class of differential equations with weighted derivatives is distinguished in which germs of solutions have unique continuation with respect to part of the variables.

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