Výsledky vyhledávání - "Vladimir Aleksandrovich Il'in"

Necessary and sufficient condition for the generalized solution of a mixed problem for the wave equation to belong to the class L p for p ≥ 1

Autor: A. A. Kuleshov, Vladimir Aleksandrovich Il'in

Publikováno v: Differential Equations. 48:1572-1576

In terms of requirements imposed on the boundary function, we obtain a necessary and sufficient condition for the generalized solution of a mixed problem for the wave equation with zero initial conditions and with boundary conditions of the first kin

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::cf8a5c12c22bf622eac46fd76324510f
https://doi.org/10.1134/s0012266112120038

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On some properties of generalized solutions of the wave equation in the classes L p and W p 1 for p ≥ 1

Autor: A. A. Kuleshov, Vladimir Aleksandrovich Il'in

Publikováno v: Differential Equations. 48:1470-1476

For each p ≥ 1, in closed analytic form, we establish the existence of a unique generalized solution in Lp of the mixed problem for the wave equation in the rectangle [0 ≤ x ≤ 1] × [0 ≤ t ≤ T] with zero initial conditions and with boundary

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::88ac48662d03c90bc6929423d92a319e
https://doi.org/10.1134/s0012266112110043

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