Existence of solutions to initial value problem for a parabolic Monge–Ampère equation and application
✍ Scribed by Lian Songzhe
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 191 KB
- Volume
- 65
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
## Abstract The initial‐boundary value problem in a semi‐infinite strip (0, ∞)×(0, __T__) for a degenerate parabolic equation of the form __u__, ~t~= φ(__u__)~__xx__~ + __b__(__x__)φ(__u__)~__x__~ is considered. The properties of solutions in the case where the initial function is compactly support
The paper studies the existence and nonexistence of global solutions to the Cauchy problem for a nonlinear beam equation arising in the model in variational form for the neo-Hookean elastomer rod where k 1 ,k 2 > 0 are real numbers, g(s) is a given nonlinear function. When g(s) = s n (where n 2 is