Solvability of an initial-boundary problem for a loaded wave equation


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Solvability of an initial-boundary problem for a loaded wave equation is proved. The proof of the solution
uniqueness is based on the a priori estimate of the solution. A sequence of Galerkin approximations is constructed
for the solution existence to be proved.

作者简介

M Frost

Marina Frost

参考

  1. Nakhushev A. M. Loaded differential equations and their applications // Dif. Uravn. 1983. Vol. 19. № 1. P. 86-94.
  2. Frost M. B. Uniqueness of the solution of an inverse problem of determining the source of oscillations of an elastic body // Sib. Zh. Industr. Mat. 1998. Vol. 1. № 2. P. 199-2001.
  3. Kozhanov A. I. One nonlinear loaded parabolic equation and related inverse problem // Mat. Zametki. 2004. Vol. 76. № 6. P. 840-853.

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