Formation of singularities in solutions to nonlinear hyperbolic equations
โ Scribed by Thomas C. Sideris
- Publisher
- Springer
- Year
- 1984
- Tongue
- English
- Weight
- 481 KB
- Volume
- 86
- Category
- Article
- ISSN
- 0003-9527
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๐ SIMILAR VOLUMES
We consider a numerical method to verify the solutions for nonlinear hyperbolic problems with guaranteed error bounds in the one-space dimensional case. We present verification procedures and show some numerical examples.
semilinear functional differential equations of a neutral type. Our main results concern the existence, uniqueness, and regularity of solutions. We assume that the linear part is nondensely defined, closed, and satisfies the Hille-Yosida condition.
The results of this paper are contained in a doctoral thesis submitted to the Graduate School of Arts and Sciences of New York University. Reproduction in whole or in part is permitted for any purpose of the United States Government.