### Sobolev in English

A new book set promises to expand access to the works of Sergei Lvovich Sobolev. The first volume out covers equations of mathematical physics, computational mathematics, and cubature formulas.

The preface notes that "the first three works are practically unknown to readers because they were published in sources which are difficult to access," viz., the 1932-1933 Trudy Seismologicheskii institut (Akademiia nauk SSSR). In the first of these, "Sobolev solves the classical problem posed in the famous article by H. Lamb (1904) on propagation of elastic vibrations in a half-plane and a half-space."

For many of the papers, this book also provides their first appearance in English. Dr. V. V. Fokin is credited for "his huge work in the translation of this book into English," from the 2003 Russian edition. Not that the original language of all the papers was Russian; for example, the fourth article, "On vibrations of a half plane and a layer with arbitrary initial conditions," originally appeared in French (Mat. Sb. 40 (1933), 236--266), although a Russian translation was published decades later (Uspehi Mat. Nauk 23 1968 no. 5 (143), 143--176). I wonder which source was used for the English version?

Selected Works of S.L. Sobolev, edited by G.V. Demidenko, and V. L. Vaskevich. New York: Springer, 2006. Mathematics Library QA401 S6313 2006 Link to MnCat Record