Global and blowup solutions of a mixed problem with nonlinear boundary conditions for a one-dimensional semilinear wave equation
Journal Article
·
· Sbornik. Mathematics
- Razmadze Mathematical Institute, Georgian Academy of Sciences, Tbilisi (Georgia)
A mixed problem for a one-dimensional semilinear wave equation with nonlinear boundary conditions is considered. Conditions of this type occur, for example, in the description of the longitudinal oscillations of a spring fastened elastically at one end, but not in accordance with Hooke's linear law. Uniqueness and existence questions are investigated for global and blowup solutions to this problem, in particular how they depend on the nature of the nonlinearities involved in the equation and the boundary conditions. Bibliography: 14 titles. (paper)
- OSTI ID:
- 22365292
- Journal Information:
- Sbornik. Mathematics, Vol. 205, Issue 4; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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