On a method of solving equations with simple characteristics

B. Yu. Sternin   ; V. E. Shatalov

Sbornik. Mathematics, Tome 44 (1983) no. 1, pp. 23-59

Résumé

This paper is devoted to the construction of $k$-differential equations for large values of the parameter $k$. The authors develop a method permitting one to construct solutions of such equations in the space $\mathbf R^n$, with limiting absorption conditions. Together with the ideas of Legendre uniformization, the method allows one to construct solutions of boundary value problems for equations of the type under consideration. Bibliography: 30 titles.

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