Email this article Solvability of an initial-boundary problem for a loaded wave equation
- Authors: Frost MB1, Frost M.B1
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Affiliations:
- Issue: Vol 12, No 2 (2011)
- Pages: 80-81
- Section: Articles
- URL: https://journals.eco-vector.com/2712-8970/article/view/505727
- ID: 505727
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Abstract
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.
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.
Keywords
References
- Nakhushev A. M. Loaded differential equations and their applications // Dif. Uravn. 1983. Vol. 19. № 1. P. 86-94.
- 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.
- 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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