We consider the model problem where β is a bounded region in R with smooth boundary, q g 0, 2 , and Ε½ . p Ε½ .
Nonlinear Stability for Dissipative Nonlinear Evolution Equations with Ellipticity
β Scribed by Shaoqiang Tang; Huijiang Zhao
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 160 KB
- Volume
- 233
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
## Abstract We consider a solution __u__ of the homogeneous Dirichlet problem for a class of nonlinear elliptic equations in the form __A__(__u__) + __g__(__x__, __u__) = __f__, where the principal term is a LerayβLions operator defined on $ W ^{1, p} \_{0} (\Omega) $ and __g__(__x__, __u__) is a t
The existence and uniqueness are proved for global classical solutions of the spatially periodic Cauchy problem to the following system of parabolic equations s y y β£ y q β£ Ε½ . which was proposed as a substitute for the RayleighαBenard equation and can lead to Lorenz equations.